Modal Spectral Element Solutions to Incompressible Flows over Particles of Complex Shape

<table>Comparisons between the DNS and VIP runs for the top half sphere at <svg height="11.375" id="M177" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 56.474998 11.375" width="56.474998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>. Fluid velocity distribution in <svg height="11.2625" id="M178" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 36.174999 11.2625" width="36.174999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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t-47.5 -67l-25 13q15 39 38 78q40 66 83 66q57 0 120 -12q52 -10 80 -10q29 0 67 42z" id="x1D467"></path></g><g transform="matrix(.017,-0,0,-.017,13.237,10.862)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(.017,-0,0,-.017,27.94,10.862)"><path d="M241 635q53 0 94 -28.5t63.5 -76t33.5 -102.5t11 -116q0 -58 -11 -112.5t-34 -103.5t-63.5 -78.5t-94.5 -29.5t-95 28t-64.5 75t-34.5 102.5t-11 118.5q0 58 11.5 112.5t34.5 103t64.5 78t95.5 29.5zM238 602q-32 0 -55.5 -25t-35.5 -68t-17.5 -91t-5.5 -105
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</svg> plane. Elements are shown in black lines.</table>

Journal of Computational Engineering

fig5

Figure 5

Figure 5: Modal Spectral Element Solutions to Incompressible Flows over Particles of Complex Shape 