An Alternative Scheme to Calculate the Strain Rate Tensor for the LES Applications in the LBM

<table>Steady-state velocity profiles for <svg height="9.7875004" id="M192" style="vertical-align:-0.1575pt" version="1.1" viewbox="0 0 63.424999 9.7875004" width="63.424999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.7875)">
<g transform="translate(72,-64.17)">
<text transform="matrix(1,0,0,-1,-71.95,64.37)">
<tspan style="font-size: 11.21px; " x="0" y="0">R</tspan>
<tspan style="font-size: 11.21px; " x="7.4757361" y="0">e</tspan>
<tspan style="font-size: 11.21px; " x="17.42844" y="0">=</tspan>
<tspan style="font-size: 11.21px; " x="28.221745" y="0">1</tspan>
<tspan style="font-size: 11.21px; " x="33.825745" y="0">0</tspan>
<tspan style="font-size: 11.21px; " x="39.429745" y="0">0</tspan>
<tspan style="font-size: 11.21px; " x="45.033745" y="0">0</tspan>
</text>
</g>
</g>
</svg> on the symmetry plane for different <svg height="12.9625" id="M193" style="vertical-align:-2.89917pt" version="1.1" viewbox="0 0 14.4625 12.9625" width="14.4625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.9625)">
<g transform="translate(72,-61.63)">
<text transform="matrix(1,0,0,-1,-71.95,64.56)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝐶</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.43,61.76)">
<tspan style="font-size: 7.85px; " x="0" y="0">𝑠</tspan>
</text>
</g>
</g>
</svg>.</table>

Mathematical Problems in Engineering

fig4

Figure 4

Figure 4: An Alternative Scheme to Calculate the Strain Rate Tensor for the LES Applications in the LBM 