{"id":898,"date":"2023-12-08T12:14:50","date_gmt":"2023-12-08T14:14:50","guid":{"rendered":"https:\/\/sites.usp.br\/ottolab\/?page_id=898"},"modified":"2024-02-08T15:54:21","modified_gmt":"2024-02-08T17:54:21","slug":"topopt-fsi","status":"publish","type":"page","link":"https:\/\/sites.usp.br\/ottolab\/topopt-fsi\/","title":{"rendered":"Shape and topology optimization of fluid-structure interaction problems"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"898\" class=\"elementor elementor-898\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-17320886 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"17320886\" data-element_type=\"section\" 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elementor-size-sm\" href=\"#3\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Contact<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5c0d8f07 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5c0d8f07\" data-element_type=\"section\" 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data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-334384b9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"334384b9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1871fe1c\" data-id=\"1871fe1c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-736821b1 elementor-widget elementor-widget-spacer\" data-id=\"736821b1\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-12c8d25d elementor-widget elementor-widget-heading\" data-id=\"12c8d25d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Shape and Topology optimization of Fluid-Structure Interaction (FSI) problems<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-237a4550 elementor-widget elementor-widget-spacer\" data-id=\"237a4550\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-72e04b72 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"72e04b72\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-6fdaff\" data-id=\"6fdaff\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-e23d322\" data-id=\"e23d322\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-463d84d2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"463d84d2\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-33f7bca1\" data-id=\"33f7bca1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1fc49ad9 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"1fc49ad9\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p style=\"line-height: 108%; margin-bottom: 0.28cm;\" align=\"justify\"><span lang=\"en-US\" style=\"color: #000000;\">This page provides a concise overview of our research on Shape and Topology Optimization applied to FSI problems, which has been the topic of the following publications:<\/span><\/p>\n<p style=\"line-height: 108%; margin-bottom: 0.28cm;\"><span style=\"color: #000000;\">[1] Silva, K.E.S.; Sivapuram, R.; Ranjbarzadeh, S.; Gioria, <a style=\"color: #000000;\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s00158-022-03442-3#auth-R__S_-Gioria-Aff4\">R. S.<\/a>; Silva, E. C. N.; Picelli, R. <\/span><span style=\"color: #141412;\"><span lang=\"en-US\"><span style=\"color: #000000;\">(2022). Topology optimization of stationary fluid\u2013structure<\/span> interaction problems including large displacements via the TOBS-GT method.&nbsp;Struct Multidisc Optim&nbsp;65, 337. DOI:&nbsp; <a href=\"https:\/\/doi.org\/10.1007\/s00158-022-03442-3\">https:\/\/doi.org\/10.1007\/s00158-022-03442-3<\/a><\/span><\/span><\/p>\n<p style=\"line-height: 108%; margin-bottom: 0.28cm;\"><span style=\"color: #141412;\"><span lang=\"en-US\">[2] Siqueira, L. O.; Cortez, R. L.; <\/span><\/span><span style=\"color: #141412;\"><span lang=\"en-US\">Sivapuram, R.;<\/span><\/span><span style=\"color: #141412;\"><span lang=\"en-US\"> Ranjbarzadeh, S.; Gioria, R. dos S.; Silva, E. C. N.; <\/span><\/span><span style=\"color: #141412;\"><span lang=\"en-US\">Picelli, R<\/span><\/span><span style=\"color: #141412;\"><span lang=\"en-US\">. (2024). Topology optimization for stationary fluid-structure interaction problems with turbulent flow via sequential integer linear programming and smooth explicit boundaries. <\/span><\/span><span style=\"color: #141412;\"><span lang=\"en-US\">Adv Eng Softw 190. DOI: <a href=\"https:\/\/doi.org\/10.1016\/j.advengsoft.2024.103599\">https:\/\/doi.org\/10.1016\/j.advengsoft.2024.103599<\/a><\/span><\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-372bd978 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"372bd978\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4d27a155\" data-id=\"4d27a155\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-16c86c8 elementor-widget elementor-widget-text-editor\" data-id=\"16c86c8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p align=\"justify\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>2.1 \u2013 Topology optimization of stationary fluid-structure interaction problems including large displacements [1] <\/b><\/span><\/span><\/p><p><span style=\"color: #808080;\"><span lang=\"en-US\">The inclusion of large displacements into the optimization problem allows solutions closer to a realistic design since the structural systems demands nonlinear responses in real working conditions. To illustrate this concept, the <\/span><\/span><span lang=\"en-US\">classical \u201cthe<\/span> <span lang=\"en-US\">wall\u201d optimization problem including nonlinear structural responses is presented below. <\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3a3517be elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3a3517be\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-3e3a86c3\" data-id=\"3e3a86c3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-37d7e2d4 elementor-widget elementor-widget-image\" data-id=\"37d7e2d4\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"604\" height=\"373\" src=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-1024x632.jpg\" class=\"attachment-large size-large wp-image-617\" alt=\"\" srcset=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-1024x632.jpg 1024w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-300x185.jpg 300w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-768x474.jpg 768w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-400x247.jpg 400w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2.jpg 1456w\" sizes=\"(max-width: 604px) 100vw, 604px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-4abbcd7\" data-id=\"4abbcd7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4a3931b8 elementor-widget elementor-widget-image\" data-id=\"4a3931b8\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"560\" height=\"420\" src=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/FSI_the_wall_nonlinear.gif\" class=\"attachment-medium_large size-medium_large wp-image-616\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-33afdf1e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"33afdf1e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1cb49d05\" data-id=\"1cb49d05\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-444200e6 elementor-widget elementor-widget-text-editor\" data-id=\"444200e6\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p align=\"center\"><span lang=\"en-US\">Velocity field and topology evolution for the wall including large displacements<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-62d6db7d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"62d6db7d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-38eeaf\" data-id=\"38eeaf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-65509fc8 elementor-widget elementor-widget-text-editor\" data-id=\"65509fc8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p align=\"justify\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>2.2 \u2013 Topology optimization of stationary turbulent fluid-structure interaction problems via sequential integer linear programming and smooth explicit boundaries [2]<\/b><\/span><\/span><\/p><p align=\"justify\"><span lang=\"en-US\">Most of the works in TO-FSI literature consider laminar flow, which is far from practical applications. In this context, the TOBS-GT method integrated with a smoothing technique based on a phase field function is proposed to solve the FSI turbulent problem. Here, the classical \u201cthe<\/span> <span lang=\"en-US\">wall\u201d example subjected to turbulent flow (Re = 5,000) modeling using the k-\u03c9 turbulence model is presented.<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6869124c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6869124c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-505927d1\" data-id=\"505927d1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-24bd10f8 elementor-widget elementor-widget-image\" data-id=\"24bd10f8\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"604\" height=\"373\" src=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-1024x632.jpg\" class=\"attachment-large size-large wp-image-617\" alt=\"\" srcset=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-1024x632.jpg 1024w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-300x185.jpg 300w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-768x474.jpg 768w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2-400x247.jpg 400w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/imagem_topico_2.2.jpg 1456w\" sizes=\"(max-width: 604px) 100vw, 604px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-11359be0\" data-id=\"11359be0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-68d3cb37 elementor-widget elementor-widget-image\" data-id=\"68d3cb37\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"560\" height=\"420\" src=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/lundgaard_velo.gif\" class=\"attachment-large size-large wp-image-618\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6a8194e8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6a8194e8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-202370da\" data-id=\"202370da\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-61f2fecf elementor-widget elementor-widget-text-editor\" data-id=\"61f2fecf\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p style=\"line-height: 108%; margin-bottom: 0.28cm;\" align=\"center\"><span lang=\"en-US\">Topology evolution for the wall turbulent problem (Re = 5,000)<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-61578a9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"61578a9\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-c9d31fd\" data-id=\"c9d31fd\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f92f3ea elementor-widget elementor-widget-spacer\" data-id=\"f92f3ea\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-11d4f44 elementor-widget elementor-widget-heading\" data-id=\"11d4f44\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Contact<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-81f374d elementor-widget elementor-widget-image\" data-id=\"81f374d\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/elementor\/thumbs\/Prancheta-\u2013-3-qehh4b16lal0jqjq86lcrcmxou95l7yiek3l1o8mn2.png\" title=\"Prancheta \u2013 3\" alt=\"Prancheta \u2013 3\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6eaf09f elementor-widget elementor-widget-text-editor\" data-id=\"6eaf09f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Address: Av. Prof. Mello Moraes, 2231 &#8211; Polytechnic School of the University of S\u00e3o Paulo, Butant\u00e3, S\u00e3o Paulo &#8211; SP, 05508-030<\/p><p>Phone: +55 (11) 30915540<\/p><p>Email: rpicelli@usp.br<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-e233061\" data-id=\"e233061\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e62cc0d elementor-widget elementor-widget-spacer\" data-id=\"e62cc0d\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ad51275 elementor-widget elementor-widget-google_maps\" data-id=\"ad51275\" data-element_type=\"widget\" data-widget_type=\"google_maps.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-custom-embed\">\n\t\t\t<iframe loading=\"lazy\"\n\t\t\t\t\tsrc=\"https:\/\/maps.google.com\/maps?q=Av.%20Prof.%20Mello%20Moraes%2C%202231%2C%20departamento%20de%20engenharia%20naval&#038;t=m&#038;z=18&#038;output=embed&#038;iwloc=near\"\n\t\t\t\t\ttitle=\"Av. Prof. Mello Moraes, 2231, departamento de engenharia naval\"\n\t\t\t\t\taria-label=\"Av. Prof. Mello Moraes, 2231, departamento de engenharia naval\"\n\t\t\t><\/iframe>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-09e4c88 elementor-widget elementor-widget-spacer\" data-id=\"09e4c88\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Home Research Topics Publications People Software Contact Shape and Topology optimization of Fluid-Structure Interaction (FSI) problems This page provides a concise overview of our research on Shape and Topology Optimization applied to FSI problems, which has been the topic of the following publications: [1] Silva, K.E.S.; Sivapuram, R.; Ranjbarzadeh, S.; Gioria, R. S.; Silva, E. [&hellip;]<\/p>\n","protected":false},"author":23059,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_canvas","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-898","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/pages\/898","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/users\/23059"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/comments?post=898"}],"version-history":[{"count":5,"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/pages\/898\/revisions"}],"predecessor-version":[{"id":1180,"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/pages\/898\/revisions\/1180"}],"wp:attachment":[{"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/media?parent=898"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}