{"id":885,"date":"2023-12-08T12:09:09","date_gmt":"2023-12-08T14:09:09","guid":{"rendered":"https:\/\/sites.usp.br\/ottolab\/?page_id=885"},"modified":"2024-04-05T18:18:50","modified_gmt":"2024-04-05T20:18:50","slug":"topopt-fluid-flow","status":"publish","type":"page","link":"https:\/\/sites.usp.br\/ottolab\/topopt-fluid-flow\/","title":{"rendered":"Topology optimization of fluid systems"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"885\" class=\"elementor elementor-885\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7ea006c9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7ea006c9\" 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-b4d9923 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b4d9923\" 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-155e95e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"155e95e\" 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-1b3f5fd7\" data-id=\"1b3f5fd7\" 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-35f9f334 elementor-widget elementor-widget-heading\" data-id=\"35f9f334\" 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\">Topology optimization of fluid systems<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-35352613 elementor-widget elementor-widget-text-editor\" data-id=\"35352613\" 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 style=\"color: #000000;\"><span lang=\"en-US\" style=\"font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight );\">This page reports some results and illustrations using the\u00a0<\/span><span lang=\"en-US\" style=\"font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight );\">Topology Optimization of Binary Structures (TOBS) method\u00a0<\/span><span lang=\"en-US\" style=\"font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight );\">from the following publications:<\/span><\/span><\/p><p align=\"justify\"><span style=\"color: #000000;\">Picelli, R., Moscatelli, E., Yamabe, P. V. M., Alonso, D. H., Ranjbarzadeh, S., Gioria, R. S., Meneghini, J. R., Silva, E. C. N. (2022). \u201cTopology optimization of turbulent fluid-flow via the TOBS method and a geometry trimming procedure\u201d, Structural and Multidisciplinary Optimization. DOI: <\/span><span style=\"text-decoration: underline;\"><span style=\"color: #008080; text-decoration: underline;\"><a style=\"color: #008080; text-decoration: underline;\" href=\"https:\/\/doi.org\/10.1007\/s00158-021-03118-4\">https:\/\/doi.org\/10.1007\/s00158-021-03118-4<\/a><\/span><\/span><\/p><p align=\"justify\"><span style=\"color: #000000;\"><span lang=\"en-US\">Azev\u00eado, A. S. C., Li, H., Ishida, N., Siqueira, L. O., Cortez, R. L., Silva, E. C. N., Nishiwaki, S., Picelli, R. (2024).\u00a0\u201cBody-fitted topology optimization via integer linear programming using surface capture techniques\u201d, International Journal for Numerical Methods in Engineering. DOI: <span style=\"color: #008080;\"><a style=\"color: #008080;\" href=\"https:\/\/doi.org\/10.1002\/nme.7480\">https:\/\/doi.org\/10.1002\/nme.7480<\/a><\/span><br \/><\/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-319451f9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"319451f9\" 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-293d6f8f\" data-id=\"293d6f8f\" 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-3555a2dd elementor-widget elementor-widget-text-editor\" data-id=\"3555a2dd\" 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>TOBS applied to fluid flow problems considering turbulence effects<\/b><\/span><\/span><\/p>\n<p align=\"justify\"><span lang=\"en-US\">One of the current challenges for topology optimization is the consideration of high Reynolds fluid flow analysis, especially including turbulence models. The proposed procedure tackles three main issues: lack of explicit fluid walls during the entire optimization, convergence to binary designs (no intermediate density values), and no dependency of material model parameter tuning. Here we demonstrate the method for the 3D pipe-junction example.<\/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-3fbde39a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3fbde39a\" 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-11de05bb\" data-id=\"11de05bb\" 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-281d10fc elementor-widget elementor-widget-image\" data-id=\"281d10fc\" 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=\"289\" src=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/3D_pipe_joint_model.png\" class=\"attachment-large size-large wp-image-847\" alt=\"\" srcset=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/3D_pipe_joint_model.png 935w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/3D_pipe_joint_model-300x144.png 300w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/3D_pipe_joint_model-768x368.png 768w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/3D_pipe_joint_model-400x192.png 400w\" 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\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-280bf4b0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"280bf4b0\" 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-6e1a4fe6\" data-id=\"6e1a4fe6\" 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-6a927309 elementor-widget elementor-widget-text-editor\" data-id=\"6a927309\" 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>The 3D pipe-junction design problem with two fluid entrances and a single exit.<\/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-a39f979 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a39f979\" 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-4d90c50f\" data-id=\"4d90c50f\" 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-30cb2303 elementor-widget elementor-widget-text-editor\" data-id=\"30cb2303\" 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><span lang=\"en-US\">The aim of the problem is to find the fluid flow path that minimizes the energy dissipation subjected to a volume fraction. Since the turbulent flow modeling is highly demanding we starts from a full fluid initial domain and optimize considering a low Reynolds values (laminar regime). Then, we continue the optimization using the laminar final topology as initial guess to refine the solution and improve the design for high Reynolds value (turbulent flow). The analysis mesh and streamlines (blue for inlet 1 and cyan for inlet 2) evolution during the turbulent optimization step is illustrated bellow.<\/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-2f71bb3e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2f71bb3e\" 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-529adb50\" data-id=\"529adb50\" 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-23317867 elementor-widget elementor-widget-image\" data-id=\"23317867\" 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\/Mesh_evolution.gif\" class=\"attachment-large size-large wp-image-850\" 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<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-787d9e19\" data-id=\"787d9e19\" 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-3f35babb elementor-widget elementor-widget-image\" data-id=\"3f35babb\" 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\/Streamlines_evolution.gif\" class=\"attachment-large size-large wp-image-851\" 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-2bf02c1e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2bf02c1e\" 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-7907893f\" data-id=\"7907893f\" 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-25e1bf63 elementor-widget elementor-widget-text-editor\" data-id=\"25e1bf63\" 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>The 3D pipe-junction design problem with two fluid entrances and a single exit.<\/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-2fd89ed4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2fd89ed4\" 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-26925cc8\" data-id=\"26925cc8\" 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-19f6d9e elementor-widget elementor-widget-text-editor\" data-id=\"19f6d9e\" 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><span lang=\"en-US\">The final design improves the flow separation. More particularly, it increases the length and narrowness of the channel that connects the inlets with the outlet.<\/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-2628558f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2628558f\" 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-7ceba75f\" data-id=\"7ceba75f\" 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-630478b8 elementor-widget elementor-widget-video\" data-id=\"630478b8\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;loop&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/11\/topologia_final.mp4\" autoplay=\"\" loop=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\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-5bff80ff elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5bff80ff\" 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-48f6bc4b\" data-id=\"48f6bc4b\" 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-743eae5a elementor-widget elementor-widget-text-editor\" data-id=\"743eae5a\" 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><span style=\"color: #333333;\">Final design for turbulent 3D pipe-junction<\/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-690805f5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"690805f5\" 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-7e40d5bc\" data-id=\"7e40d5bc\" 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-37e61fd1 elementor-widget elementor-widget-image\" data-id=\"37e61fd1\" 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=\"604\" height=\"340\" src=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/laminar_design-1024x576.png\" class=\"attachment-large size-large wp-image-968\" alt=\"\" srcset=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/laminar_design-1024x576.png 1024w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/laminar_design-300x169.png 300w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/laminar_design-768x432.png 768w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/laminar_design-310x174.png 310w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/laminar_design-400x225.png 400w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/laminar_design.png 1280w\" 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-3987a999\" data-id=\"3987a999\" 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-1d45e186 elementor-widget elementor-widget-image\" data-id=\"1d45e186\" 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=\"604\" height=\"340\" src=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/turbulent_design-1024x576.png\" class=\"attachment-large size-large wp-image-969\" alt=\"\" srcset=\"https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/turbulent_design-1024x576.png 1024w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/turbulent_design-300x169.png 300w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/turbulent_design-768x432.png 768w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/turbulent_design-310x174.png 310w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/turbulent_design-400x225.png 400w, https:\/\/sites.usp.br\/ottolab\/wp-content\/uploads\/sites\/1126\/2023\/12\/turbulent_design.png 1280w\" 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\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1fad7519 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1fad7519\" 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-4149a83d\" data-id=\"4149a83d\" 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-6f93c650 elementor-widget elementor-widget-text-editor\" data-id=\"6f93c650\" 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><span style=\"color: #333333;\">Streamlines of the turbulent flow velocity field in initial and final design<\/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-6f18bb8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6f18bb8\" 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-d4a8ed0\" data-id=\"d4a8ed0\" 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-76e2c79 elementor-widget elementor-widget-spacer\" data-id=\"76e2c79\" 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-714a11a elementor-widget elementor-widget-heading\" data-id=\"714a11a\" 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-09b74c1 elementor-widget elementor-widget-image\" data-id=\"09b74c1\" 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-73faca1 elementor-widget elementor-widget-text-editor\" data-id=\"73faca1\" 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-5d6adc4\" data-id=\"5d6adc4\" 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-ddd497e elementor-widget elementor-widget-spacer\" data-id=\"ddd497e\" 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-c78e588 elementor-widget elementor-widget-google_maps\" data-id=\"c78e588\" 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-f24f11d elementor-widget elementor-widget-spacer\" data-id=\"f24f11d\" 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 Topology optimization of fluid systems This page reports some results and illustrations using the\u00a0Topology Optimization of Binary Structures (TOBS) method\u00a0from the following publications: Picelli, R., Moscatelli, E., Yamabe, P. V. M., Alonso, D. H., Ranjbarzadeh, S., Gioria, R. S., Meneghini, J. R., Silva, E. C. N. (2022). \u201cTopology [&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-885","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/pages\/885","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=885"}],"version-history":[{"count":4,"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/pages\/885\/revisions"}],"predecessor-version":[{"id":1281,"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/pages\/885\/revisions\/1281"}],"wp:attachment":[{"href":"https:\/\/sites.usp.br\/ottolab\/wp-json\/wp\/v2\/media?parent=885"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}