{"id":4947,"date":"2024-12-12T14:08:47","date_gmt":"2024-12-12T13:08:47","guid":{"rendered":"https:\/\/www.hds.bme.hu\/sono-lab\/"},"modified":"2025-11-25T16:05:52","modified_gmt":"2025-11-25T15:05:52","slug":"sono-lab","status":"publish","type":"page","link":"https:\/\/www.hds.bme.hu\/en\/research\/research-groups\/sono-lab\/","title":{"rendered":"Sono-Lab"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-background-image:linear-gradient(180deg, var(--awb-color4) 60%,var(--awb-color1) 60%);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:20px;--awb-spacing-right-large:10px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:10px;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:10px;--awb-spacing-left-medium:10px;--awb-width-small:100%;--awb-order-small:0;--awb-margin-top-small:0px;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-aspect-ratio:21 \/ 9;--awb-object-position:49% 9%;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none has-aspect-ratio\" style=\"border-radius:12px;\"><img decoding=\"async\" width=\"2048\" height=\"831\" title=\"2024_04_12_HDR_tanszek-158\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%272048%27%20height%3D%27831%27%20viewBox%3D%270%200%202048%20831%27%3E%3Crect%20width%3D%272048%27%20height%3D%27831%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2024_04_12_HDR_tanszek-158.webp\" class=\"lazyload img-responsive wp-image-8127 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" alt \/><\/span><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top-medium:40px;--awb-padding-bottom-medium:48px;--awb-padding-top-small:0px;--awb-padding-bottom-small:20px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_3_4 3_4 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:75%;--awb-margin-top-large:20px;--awb-spacing-right-large:2.56%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:2.56%;--awb-width-medium:66.666666666667%;--awb-order-medium:0;--awb-spacing-right-medium:2.88%;--awb-spacing-left-medium:2.88%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\"><p>The research field of sonochemistry originates from the cavitation theory topic, which has a tradition of several decades at the Department. A special case of cavitation is when cavitation bubbles are created by high-intensity and high-frequency (20 kHz \u2013 1 MHz) ultrasound irradiation. This is called acoustic cavitation. During the radial pulsation of the bubbles, the internal temperature can reach several thousand kelvin, which induces chemical reactions. The phenomenon has numerous chemical applications: the degradation of toxic substances in wastewater treatment, the production of nano-metal particles or the synthesis of various organic and inorganic chemical substances. The research group aims at improving the energy efficiency of sonochemical reactors.     <\/p>\n<p>One of the keys to reactor optimization is the creation of numerical simulations, including the programming of graphics cards (GPUs). The largest share of the performance of modern computer clusters and supercomputers is now provided by GPUs (Frontier: 98%, Komondor: 80%). Our research group does not only write codes specialized for sonochemistry, but also develops general-purpose ordinary and partial differential equation solvers.<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-3 fusion-flex-container has-pattern-background has-mask-background hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-right:6%;--awb-padding-left:6%;--awb-padding-top-medium:40px;--awb-padding-right-medium:4%;--awb-padding-bottom-medium:48px;--awb-padding-left-medium:4%;--awb-padding-top-small:20px;--awb-padding-bottom-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:20px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-text fusion-title-size-one\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h1 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:60;line-height:var(--awb-typography1-line-height);\">Our research areas<\/h1><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-position:center top;--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:10px;--awb-spacing-right-large:4.8%;--awb-margin-bottom-large:10px;--awb-spacing-left-large:4.8%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-aspect-ratio:1 \/ 1;--awb-object-position:48% 46%;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-2 hover-type-none has-aspect-ratio\" style=\"border-radius:12px;\"><img decoding=\"async\" width=\"866\" height=\"658\" title=\"sono1\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/sono1.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/sono1.webp\" class=\"lazyload img-responsive wp-image-8265 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" alt srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27866%27%20height%3D%27658%27%20viewBox%3D%270%200%20866%20658%27%3E%3Crect%20width%3D%27866%27%20height%3D%27658%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/sono1-200x152.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/sono1-400x304.webp 400w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/sono1-600x456.webp 600w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/sono1-800x608.webp 800w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/sono1.webp 866w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 600px\" \/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-4 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:20px;--awb-spacing-right-large:14.4%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:19.2%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:5.76%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-2 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color7);--awb-margin-top:0px;--awb-margin-bottom:16px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">Improving energy efficiency in sonochemical applications<\/h4><\/div><div class=\"fusion-title title fusion-title-3 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top:0px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:48;line-height:1.2;\">Optimal operating strategies<\/h2><\/div><div class=\"fusion-text fusion-text-2\"><p>One of the biggest challenges of sonochemical reactors is to improve their energy efficiency so that they can be economically applied in industry. Our goal is to develop operating strategies that can significantly improve chemical yield with minimal energy investment. To do this, we use large-scale numerical optimization methods, taking advantage of the high computing power of GPUs. With this, we create detailed chemical simulations of the chemical activity of the bubbles.<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-4 fusion-flex-container has-pattern-background has-mask-background hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-right:6%;--awb-padding-left:6%;--awb-padding-top-medium:40px;--awb-padding-right-medium:4%;--awb-padding-bottom-medium:48px;--awb-padding-left-medium:4%;--awb-padding-top-small:20px;--awb-padding-bottom-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-5 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:20px;--awb-spacing-right-large:14.4%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:19.2%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:5.76%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-4 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color7);--awb-margin-top:0px;--awb-margin-bottom:16px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">Ultrasound dissipation<\/h4><\/div><div class=\"fusion-title title fusion-title-5 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top:0px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:48;line-height:1.2;\">Interaction between bubble cluster and acoustic wave<\/h2><\/div><div class=\"fusion-text fusion-text-3\"><p>Homogeneous chemical activity is important in sonochemical reactors. Passing through a bubble cluster, ultrasound is scattered, and the intensity of the irradiation can also decrease due to the dissipation caused by the bubbles. In addition to developing optimal operating strategies, our further goal is to determine optimal bubble distributions: the optimal bubble radii and positions. To this end, we perform numerical simulations with the ALPACA multiphase flow simulation software package. The results provide detailed insight into the interaction of bubbles and the acoustic field.<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-6 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-position:center top;--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:10px;--awb-spacing-right-large:4.8%;--awb-margin-bottom-large:10px;--awb-spacing-left-large:4.8%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-video fusion-selfhosted-video video-wrapper\" style=\"max-width:100%;\"><div class=\"video-wrapper\" style=\"border-radius:12px 12px 12px 12px;\"><video playsinline=\"true\" width=\"100%\" style=\"object-fit: cover;\" autoplay=\"true\" muted=\"true\" loop=\"true\" preload=\"auto\" controls=\"1\"><source src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/jet_suppression_4_bubbles-1.mp4\" type=\"video\/mp4\">Sorry, your browser doesn&#039;t support embedded videos.<\/video><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-5 fusion-flex-container has-pattern-background has-mask-background hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-right:6%;--awb-padding-left:6%;--awb-padding-top-medium:40px;--awb-padding-right-medium:4%;--awb-padding-bottom-medium:48px;--awb-padding-left-medium:4%;--awb-padding-top-small:20px;--awb-padding-bottom-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-7 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-position:center top;--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:10px;--awb-spacing-right-large:4.8%;--awb-margin-bottom-large:10px;--awb-spacing-left-large:4.8%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-video fusion-selfhosted-video video-wrapper\" style=\"max-width:100%;\"><div class=\"video-wrapper\" style=\"border-radius:12px 12px 12px 12px;\"><video playsinline=\"true\" width=\"100%\" style=\"object-fit: cover;\" autoplay=\"true\" muted=\"true\" loop=\"true\" preload=\"auto\" controls=\"1\"><source src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/256-256-Tanh_ddpg_1708099935.mp4\" type=\"video\/mp4\">Sorry, your browser doesn&#039;t support embedded videos.<\/video><\/div><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-8 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:20px;--awb-spacing-right-large:14.4%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:19.2%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:5.76%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-6 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color7);--awb-margin-top:0px;--awb-margin-bottom:16px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">Bubble cluster control<\/h4><\/div><div class=\"fusion-title title fusion-title-7 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top:0px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:48;line-height:1.2;\">Controlling reactors with reinforcement learning<\/h2><\/div><div class=\"fusion-text fusion-text-4\"><p>After determining the optimal bubble structure, the bubbles need to be positioned in the right place. This goes far beyond the scope of human intuition. Therefore, the problem is addressed by reinforcement learning. The positions are controlled by manipulating the acoustic field. The acoustic field is controlled by adjusting the intensity of the ultrasound irradiation. The intensities are adjusted at certain intervals by a neural network depending on the current bubble positions and the target positions.<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-6 fusion-flex-container has-pattern-background has-mask-background hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-right:6%;--awb-padding-left:6%;--awb-padding-top-medium:40px;--awb-padding-right-medium:4%;--awb-padding-bottom-medium:48px;--awb-padding-left-medium:4%;--awb-padding-top-small:20px;--awb-padding-bottom-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-9 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:20px;--awb-spacing-right-large:14.4%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:19.2%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:5.76%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-8 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color7);--awb-margin-top:0px;--awb-margin-bottom:16px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">Laser-generated bubbles<\/h4><\/div><div class=\"fusion-title title fusion-title-9 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top:0px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:48;line-height:1.2;\">Bubble dynamics in laser surgery<\/h2><\/div><div class=\"fusion-text fusion-text-5\"><p>We can also use the bubble dynamics experience gained during sonochemical simulations in other areas. One of our active topics is the dynamic behavior of laser-generated bubbles. The importance of the topic is given by laser surgeries, where the focused laser beam generates micrometer-sized bubbles. The main question is to understand the shock waves generated by the laser and bubble dynamics. These can destroy the surrounding tissues. We use the ALPACA software package for the simulations.<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-10 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-position:center top;--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:10px;--awb-spacing-right-large:4.8%;--awb-margin-bottom-large:10px;--awb-spacing-left-large:4.8%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-video fusion-selfhosted-video video-wrapper\" style=\"max-width:100%;\"><div class=\"video-wrapper\" style=\"border-radius:12px 12px 12px 12px;\"><video playsinline=\"true\" width=\"100%\" style=\"object-fit: cover;\" autoplay=\"true\" muted=\"true\" loop=\"true\" preload=\"auto\" controls=\"1\"><source src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/e2_video_100Mx-1.mp4\" type=\"video\/mp4\">Sorry, your browser doesn&#039;t support embedded videos.<\/video><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-7 fusion-flex-container has-pattern-background has-mask-background hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-right:6%;--awb-padding-left:6%;--awb-padding-top-medium:40px;--awb-padding-right-medium:4%;--awb-padding-bottom-medium:48px;--awb-padding-left-medium:4%;--awb-padding-top-small:20px;--awb-padding-bottom-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"width:104% !important;max-width:104% !important;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-11 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-position:center top;--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:10px;--awb-spacing-right-large:4.8%;--awb-margin-bottom-large:10px;--awb-spacing-left-large:4.8%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-3 hover-type-none my-post-image-column\" style=\"border-radius:12px;\"><img decoding=\"async\" width=\"1158\" height=\"803\" title=\"MPGOS_image_large\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/MPGOS_kep_nagy-1.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/MPGOS_kep_nagy-1.webp\" alt class=\"lazyload img-responsive wp-image-6248\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%271158%27%20height%3D%27803%27%20viewBox%3D%270%200%201158%20803%27%3E%3Crect%20width%3D%271158%27%20height%3D%27803%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/MPGOS_kep_nagy-1-200x139.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/MPGOS_kep_nagy-1-400x277.webp 400w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/MPGOS_kep_nagy-1-600x416.webp 600w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/MPGOS_kep_nagy-1-800x555.webp 800w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/09\/MPGOS_kep_nagy-1.webp 1158w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 600px\" \/><\/span><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-12 fusion_builder_column_2_5 2_5 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:40%;--awb-margin-top-large:20px;--awb-spacing-right-large:14.4%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:19.2%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:5.76%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-10 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-text-color:var(--awb-color7);--awb-margin-top:0px;--awb-margin-bottom:16px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">The MPGOS program package<\/h4><\/div><div class=\"fusion-title title fusion-title-11 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top:0px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:48;line-height:1.2;\">General purpose GPU-ODE solver<\/h2><\/div><div class=\"fusion-text fusion-text-6\"><p>The GPU programming experience gained during the sonochemical research was also used in a general-purpose ordinary differential equation solver. The program package is called MPGOS (Massively Parallel GPU ODE Solver). The package and detailed performance profiling are available at <a href=\"http:\/\/www.gpuode.com\">www.gpuode.com<\/a> . Future goals include continuous improvement of the package and writing a user interface for handling it in MATLAB. The long-term goal is to include the package in the Parallel Toolbox system.<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-8 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--link_hover_color: var(--awb-color5);--link_color: var(--awb-color7);--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-bottom:40px;--awb-padding-top-medium:0px;--awb-padding-top-small:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-flex-end fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-13 fusion_builder_column_1_3 1_3 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:33.333333333333%;--awb-margin-top-large:20px;--awb-spacing-right-large:11.52%;--awb-margin-bottom-large:30px;--awb-spacing-left-large:5.76%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-margin-bottom-medium:0px;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-margin-top-small:0px;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-12 fusion-sep-none fusion-title-text fusion-title-size-three\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:36;line-height:1.3;\">Projects<\/h3><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-14 fusion_builder_column_1_3 1_3 fusion-flex-column fusion-flex-align-self-stretch\" style=\"--awb-padding-top:36px;--awb-padding-right:40px;--awb-padding-bottom:16px;--awb-padding-left:40px;--awb-overflow:hidden;--awb-bg-color:var(--awb-color1);--awb-bg-color-hover:var(--awb-color1);--awb-bg-size:cover;--awb-box-shadow:0px 2px 4px -1px hsla(var(--awb-color8-h),var(--awb-color8-s),var(--awb-color8-l),calc( var(--awb-color8-a) - 92% ));;--awb-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),var(--awb-color8-l),calc( var(--awb-color8-a) - 92% ));--awb-border-top:1px;--awb-border-right:1px;--awb-border-bottom:1px;--awb-border-left:1px;--awb-border-style:solid;--awb-border-radius:8px 8px 8px 8px;--awb-width-large:33.333333333333%;--awb-margin-top-large:20px;--awb-spacing-right-large:20px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:20px;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:20px;--awb-spacing-left-medium:20px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:20px;--awb-margin-bottom-small:10px;--awb-spacing-left-small:20px;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-4 hover-type-none\" style=\"border-radius:12px;\"><img decoding=\"async\" width=\"942\" height=\"213\" title=\"nvidia-logo-horz\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/nvidia-logo-horz.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/nvidia-logo-horz.webp\" alt class=\"lazyload img-responsive wp-image-8248\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27942%27%20height%3D%27213%27%20viewBox%3D%270%200%20942%20213%27%3E%3Crect%20width%3D%27942%27%20height%3D%27213%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/nvidia-logo-horz-200x45.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/nvidia-logo-horz-400x90.webp 400w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/nvidia-logo-horz-600x136.webp 600w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/nvidia-logo-horz-800x181.webp 800w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/nvidia-logo-horz.webp 942w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 400px\" \/><\/span><\/div><div class=\"fusion-title title fusion-title-13 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">Nvidia Research Grant<\/h4><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-15 fusion_builder_column_1_3 1_3 fusion-flex-column fusion-flex-align-self-stretch\" style=\"--awb-padding-top:36px;--awb-padding-right:40px;--awb-padding-bottom:16px;--awb-padding-left:40px;--awb-overflow:hidden;--awb-bg-color:var(--awb-color1);--awb-bg-color-hover:var(--awb-color1);--awb-bg-size:cover;--awb-box-shadow:0px 2px 4px -1px hsla(var(--awb-color8-h),var(--awb-color8-s),var(--awb-color8-l),calc( var(--awb-color8-a) - 92% ));;--awb-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),var(--awb-color8-l),calc( var(--awb-color8-a) - 92% ));--awb-border-top:1px;--awb-border-right:1px;--awb-border-bottom:1px;--awb-border-left:1px;--awb-border-style:solid;--awb-border-radius:8px 8px 8px 8px;--awb-width-large:33.333333333333%;--awb-margin-top-large:20px;--awb-spacing-right-large:20px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:20px;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:20px;--awb-spacing-left-medium:20px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:20px;--awb-margin-bottom-small:10px;--awb-spacing-left-small:20px;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-5 hover-type-none\" style=\"border-radius:12px;\"><img decoding=\"async\" width=\"358\" height=\"192\" title=\"footer_logo\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/footer_logo.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/footer_logo.webp\" alt class=\"lazyload img-responsive wp-image-8177\" srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27358%27%20height%3D%27192%27%20viewBox%3D%270%200%20358%20192%27%3E%3Crect%20width%3D%27358%27%20height%3D%27192%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/footer_logo-200x107.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/footer_logo.webp 358w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 358px\" \/><\/span><\/div><div class=\"fusion-title title fusion-title-14 fusion-sep-none fusion-title-text fusion-title-size-four\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h4 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:24;--minFontSize:24;line-height:1.42;\">NKFIH Scholarships<\/h4><\/div><div class=\"fusion-text fusion-text-7\" style=\"--awb-margin-top:-18px;\"><p>Young Researcher and Postdoctoral Excellence Scholarship<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-9 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top-medium:80px;--awb-padding-bottom-medium:60px;--awb-padding-top-small:32px;--awb-padding-bottom-small:32px;--awb-background-color:var(--awb-color4);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-stretch fusion-flex-justify-content-center fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-16 fusion_builder_column_1_1 1_1 fusion-flex-column fusion-no-small-visibility fusion-no-medium-visibility\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:20px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-15 fusion-sep-none fusion-title-text fusion-title-size-two\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:48;line-height:1.2;\">Research group leaders<\/h2><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-17 fusion_builder_column_1_3 1_3 fusion-flex-column fusion-column-inner-bg-wrapper fusion-column-liftup-border\" style=\"--awb-padding-top:24px;--awb-padding-right:40px;--awb-padding-bottom:18px;--awb-padding-left:40px;--awb-overflow:hidden;--awb-inner-bg-color:var(--awb-color1);--awb-inner-bg-color-hover:var(--awb-color1);--awb-inner-bg-size:cover;--awb-inner-bg-box-shadow:0px 2px 4px -1px hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));;--awb-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));--awb-inner-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));--awb-border-top:2px;--awb-inner-border-top:2px;--awb-border-right:2px;--awb-inner-border-right:2px;--awb-border-bottom:2px;--awb-inner-border-bottom:2px;--awb-border-left:2px;--awb-inner-border-left:2px;--awb-border-style:solid;--awb-inner-border-style:solid;--awb-border-radius:8px 8px 8px 8px;--awb-liftup-border-radius:8px 8px 8px 8px;--awb-width-large:33.333333333333%;--awb-margin-top-large:20px;--awb-spacing-right-large:16px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:16px;--awb-width-medium:33.333333333333%;--awb-order-medium:0;--awb-spacing-right-medium:10px;--awb-spacing-left-medium:10px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-margin-bottom-small:10px;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><span class=\"fusion-column-inner-bg hover-type-liftup\"><a class=\"fusion-column-anchor\" href=\"https:\/\/www.hds.bme.hu\/en\/about-the-department\/our-employees\/ferenc-hegedus\/\"><span class=\"fusion-column-inner-bg-image\"><\/span><\/a><\/span><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:center;--awb-aspect-ratio:1 \/ 1;--awb-object-position:52% 0%;--awb-margin-top:24px;--awb-margin-right:24px;--awb-margin-bottom:24px;--awb-margin-left:24px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-6 hover-type-none has-aspect-ratio\" style=\"border-radius:500px;\"><img decoding=\"async\" width=\"1365\" height=\"2048\" title=\"2024_04_12_HDR_tanszek-20\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-20.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-20.webp\" class=\"lazyload img-responsive wp-image-7661 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" alt srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%271365%27%20height%3D%272048%27%20viewBox%3D%270%200%201365%202048%27%3E%3Crect%20width%3D%271365%27%20height%3D%272048%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-20-200x300.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-20-400x600.webp 400w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-20-600x900.webp 600w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-20-800x1200.webp 800w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-20-1200x1800.webp 1200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-20.webp 1365w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 400px\" \/><\/span><\/div><div class=\"fusion-title title fusion-title-16 fusion-sep-none fusion-title-text fusion-title-size-three\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:36;line-height:1.3;\">Dr. Ferenc Heged\u0171s<\/h3><\/div><div class=\"fusion-text fusion-text-8\" style=\"--awb-content-alignment:left;--awb-font-size:16px;--awb-line-height:26px;--awb-margin-top:-20px;\"><p>associate professor<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-18 fusion_builder_column_1_3 1_3 fusion-flex-column fusion-column-inner-bg-wrapper fusion-column-liftup-border\" style=\"--awb-padding-top:24px;--awb-padding-right:40px;--awb-padding-bottom:18px;--awb-padding-left:40px;--awb-overflow:hidden;--awb-inner-bg-color:var(--awb-color1);--awb-inner-bg-color-hover:var(--awb-color1);--awb-inner-bg-size:cover;--awb-inner-bg-box-shadow:0px 2px 4px -1px hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));;--awb-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));--awb-inner-border-color:hsla(var(--awb-color8-h),var(--awb-color8-s),calc(var(--awb-color8-l) - 100%),calc(var(--awb-color8-a) - 95%));--awb-border-top:2px;--awb-inner-border-top:2px;--awb-border-right:2px;--awb-inner-border-right:2px;--awb-border-bottom:2px;--awb-inner-border-bottom:2px;--awb-border-left:2px;--awb-inner-border-left:2px;--awb-border-style:solid;--awb-inner-border-style:solid;--awb-border-radius:8px 8px 8px 8px;--awb-liftup-border-radius:8px 8px 8px 8px;--awb-width-large:33.333333333333%;--awb-margin-top-large:20px;--awb-spacing-right-large:16px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:16px;--awb-width-medium:33.333333333333%;--awb-order-medium:0;--awb-spacing-right-medium:10px;--awb-spacing-left-medium:10px;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-margin-bottom-small:10px;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><span class=\"fusion-column-inner-bg hover-type-liftup\"><a class=\"fusion-column-anchor\" href=\"https:\/\/www.hds.bme.hu\/en\/about-the-department\/our-employees\/kalman-klapcsik\/\"><span class=\"fusion-column-inner-bg-image\"><\/span><\/a><\/span><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-image-element \" style=\"text-align:center;--awb-aspect-ratio:1 \/ 1;--awb-object-position:52% 0%;--awb-margin-top:24px;--awb-margin-right:24px;--awb-margin-bottom:24px;--awb-margin-left:24px;--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-7 hover-type-none has-aspect-ratio\" style=\"border-radius:500px;\"><img decoding=\"async\" width=\"1365\" height=\"2048\" title=\"2024_04_12_HDR_tanszek-30\" src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-30.webp\" data-orig-src=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-30.webp\" class=\"lazyload img-responsive wp-image-7664 img-with-aspect-ratio\" data-parent-fit=\"cover\" data-parent-container=\".fusion-image-element\" alt srcset=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%271365%27%20height%3D%272048%27%20viewBox%3D%270%200%201365%202048%27%3E%3Crect%20width%3D%271365%27%20height%3D%272048%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-srcset=\"https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-30-200x300.webp 200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-30-400x600.webp 400w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-30-600x900.webp 600w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-30-800x1200.webp 800w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-30-1200x1800.webp 1200w, https:\/\/www.hds.bme.hu\/wp-content\/uploads\/2025\/10\/2024_04_12_HDR_tanszek-30.webp 1365w\" data-sizes=\"auto\" data-orig-sizes=\"(max-width: 640px) 100vw, 400px\" \/><\/span><\/div><div class=\"fusion-title title fusion-title-17 fusion-sep-none fusion-title-text fusion-title-size-three\" style=\"--awb-margin-top:20px;--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:36;line-height:1.3;\">Dr. K\u00e1lm\u00e1n Klapcsik<\/h3><\/div><div class=\"fusion-text fusion-text-9\" style=\"--awb-content-alignment:left;--awb-font-size:16px;--awb-line-height:26px;--awb-margin-top:-20px;\"><p>university assistant professor<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-10 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-19 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:20px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-18 fusion-sep-none fusion-title-text fusion-title-size-three\" style=\"--awb-margin-top-small:10px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h3 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:36;line-height:1.3;\">Additional staff<\/h3><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-20 fusion_builder_column_1_2 1_2 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:3.84%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><ul style=\"--awb-iconcolor:var(--awb-color7);--awb-line-height:30.6px;--awb-icon-width:30.6px;--awb-icon-height:30.6px;--awb-icon-margin:12.6px;--awb-content-margin:43.2px;\" class=\"fusion-checklist fusion-checklist-1 fusion-checklist-default type-icons\"><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon fa-user-alt fas\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>P\u00e9ter Kr\u00e4hling<\/p>\n<\/div><\/li><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon fa-user-alt fas\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>P\u00e9ter Kalm\u00e1r<\/p>\n<\/div><\/li><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon fa-user-alt fas\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>Ferenc Kubicsek<\/p>\n<\/div><\/li><\/ul><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-21 fusion_builder_column_1_2 1_2 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:0px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:3.84%;--awb-width-medium:50%;--awb-order-medium:0;--awb-spacing-right-medium:3.84%;--awb-spacing-left-medium:3.84%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\" data-scroll-devices=\"small-visibility,medium-visibility,large-visibility\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><ul style=\"--awb-iconcolor:var(--awb-color7);--awb-line-height:30.6px;--awb-icon-width:30.6px;--awb-icon-height:30.6px;--awb-icon-margin:12.6px;--awb-content-margin:43.2px;\" class=\"fusion-checklist fusion-checklist-2 fusion-checklist-default type-icons\"><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon fa-user-alt fas\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>D\u00e1niel Nagy<\/p>\n<\/div><\/li><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon fa-user-alt fas\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>Ahmad Al-Awamleh<\/p>\n<\/div><\/li><\/ul><\/div><\/div><\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"parent":4969,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"100-width.php","meta":{"footnotes":""},"class_list":["post-4947","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Sono-Lab - BME Department of Hydrodynamic Systems<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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