Study on the Dependence of Reverse Simulation for Identifying a Pollutant Source on Grid Resolution and Filter Width in Cavity Flow

<table>Reverse analysis results <svg height="14.7125" id="M122" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 98.787498 14.7125" width="98.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="8.0769377" y="0">𝑈</tspan>
</text>
<text transform="matrix(1,0,0,-1,-55.06,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑏</tspan>
</text>
<text transform="matrix(1,0,0,-1,-50.45,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">𝐻</tspan>
</text>
<text transform="matrix(1,0,0,-1,-36.06,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑏</tspan>
</text>
<text transform="matrix(1,0,0,-1,-27.97,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="24.530886" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="30.782387" y="0">)</tspan>
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</g>
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</svg>: (a) Case 1-1, (b) Case 2-1, and (c) Case 3-1.</table>

Journal of Applied Mathematics

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Figure 5

Figure 5: Study on the Dependence of Reverse Simulation for Identifying a Pollutant Source on Grid Resolution and Filter Width in Cavity Flow 