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	<title>precice &#8211; hexatransition GmbH</title>
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		<title>3D FSI Lid Driven Cavity</title>
		<link>https://hexatransition.com/cfd/membrane-fluid-structure-interaction/</link>
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		<pubDate>Tue, 10 Oct 2023 13:27:10 +0000</pubDate>
				<category><![CDATA[CFD]]></category>
		<category><![CDATA[FSI]]></category>
		<category><![CDATA[precice]]></category>
		<category><![CDATA[Membrane]]></category>
		<category><![CDATA[Precice]]></category>
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					<description><![CDATA[Membrane FSI : OpenFOAM &#8211; precice &#8211; MBDyn Description 3D FSI lid driven cavity , coupling OpenFOAM &#8211; precice &#8211; MBDyn Software: OpenFOAM V2306, Precice v2.5, MBDyn v1.7.3 This is a 3D FSI simulation of the well-known lid-driven cavity flow benchmark. In this FSI adapted version, the fixed bottom wall<a class="moretag" href="https://hexatransition.com/cfd/membrane-fluid-structure-interaction/"> Read more&#8230;</a>]]></description>
										<content:encoded><![CDATA[
<div class="wp-block-ht-block-toc is-style-rounded htoc htoc--position-wide toc-list-style-plain" data-htoc-state="expanded"><span class="htoc__title"><span class="ht_toc_title">Inhaltsverzeichnis</span><span class="htoc__toggle"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16"><g fill="#444"><path d="M15 7H1c-.6 0-1 .4-1 1s.4 1 1 1h14c.6 0 1-.4 1-1s-.4-1-1-1z"></path><path d="M15 1H1c-.6 0-1 .4-1 1s.4 1 1 1h14c.6 0 1-.4 1-1s-.4-1-1-1zM15 13H1c-.6 0-1 .4-1 1s.4 1 1 1h14c.6 0 1-.4 1-1s-.4-1-1-1z"></path></g></svg></span></span><div class="htoc__itemswrap"><ul class="ht_toc_list"><li class=""><a href="#htoc-membrane-fsi-openfoam-precice-mbdyn">Membrane FSI : OpenFOAM &#8211; precice &#8211; MBDyn</a><ul class="ht_toc_child_list"><li class=""><a href="#htoc-c">Description</a></li><li class=""><a href="#htoc-r">Results</a></li><li class=""><a href="#htoc-d">Download</a></li></ul></li></ul></div></div>



<h2 class="wp-block-heading" id="htoc-membrane-fsi-openfoam-precice-mbdyn">Membrane FSI : OpenFOAM &#8211; precice &#8211; MBDyn</h2>



<h3 class="wp-block-heading" id="htoc-c">Description</h3>



<p>3D FSI lid driven cavity , coupling OpenFOAM &#8211; precice &#8211; MBDyn</p>



<p>Software: OpenFOAM V2306, Precice v2.5, MBDyn v1.7.3</p>



<figure class="wp-block-image size-large is-style-default"><img decoding="async" src="https://i0.wp.com/kratosmultiphysics.github.io/Examples/fluid_structure_interaction/validation/fsi_lid_driven_cavity/data/fsi_lid_driven_cavity_benchmark_geometry.png?w=750&#038;ssl=1" alt="" data-recalc-dims="1"/></figure>



<p>This is a 3D FSI simulation of the well-known lid-driven cavity flow benchmark. In this FSI adapted version, the fixed bottom wall is a deformable membrane meanwhile the originally constant top velocity is substituted by an oscillatory one. </p>



<div class="wp-block-katex-display-block katex-eq" data-katex-display="true"><pre>\overline{v}=1-cos\left(\frac{2\pi t}{5}\right)</pre></div>



<p>A Newtonian constitutive law is considered in the fluid domain. The fluid and solid characteristic parameters are:</p>



<p>Fluid:</p>



<ul>
<li>Density (ρ)=  kg/m²</li>



<li>Kinematic Viscosity (ν) = 1e-02 m²/s </li>
</ul>



<p>Solid:</p>



<ul>
<li>Density (ρ): 500&nbsp;<em>g/m<sup>3</sup></em></li>



<li>Elastic modulus (E): 250&nbsp;<em>Pa</em></li>



<li>Poisson ratio (ν): 0.0</li>
</ul>



<p>The time step is 0.01 seconds, while the total simulation time is 70.0 seconds.</p>



<h3 class="wp-block-heading" id="htoc-r">Results</h3>



<p>The problem stated above has been solved using OpenFOAM &#8211; precice and MBDyn as structural solver. The obtained vorticity and velocity streamlines, together with the deformed geometry, are shown below. Besides, some comparisons with the reference solutions are depicted as well.</p>



<figure class="wp-block-video"><video autoplay controls loop muted poster="https://hexatransition.com/wp-content/uploads/2023/10/cavityFSI_0045.png" preload="auto" src="https://hexatransition.com/wp-content/uploads/2023/10/3DCavityFSI.mov"></video></figure>



<p>The vertical displacement over time of the center point at the bottom wall is shown in the following figure</p>



<figure class="wp-block-image size-large"><img decoding="async" fetchpriority="high" width="750" height="479" src="https://i0.wp.com/hexatransition.com/wp-content/uploads/2023/10/3DLidFsiValid.png?resize=750%2C479&#038;ssl=1" alt="" class="wp-image-4405" srcset="https://i0.wp.com/hexatransition.com/wp-content/uploads/2023/10/3DLidFsiValid.png?resize=1024%2C654&amp;ssl=1 1024w, https://i0.wp.com/hexatransition.com/wp-content/uploads/2023/10/3DLidFsiValid.png?resize=300%2C192&amp;ssl=1 300w, https://i0.wp.com/hexatransition.com/wp-content/uploads/2023/10/3DLidFsiValid.png?resize=768%2C491&amp;ssl=1 768w, https://i0.wp.com/hexatransition.com/wp-content/uploads/2023/10/3DLidFsiValid.png?resize=1536%2C981&amp;ssl=1 1536w, https://i0.wp.com/hexatransition.com/wp-content/uploads/2023/10/3DLidFsiValid.png?w=1781&amp;ssl=1 1781w" sizes="(max-width: 750px) 100vw, 750px" data-recalc-dims="1" /></figure>



<h3 class="wp-block-heading" id="htoc-d">Download</h3>



<p>Case files can be found here:</p>
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