A Defect-Correction Method  for Time-Dependent Viscoelastic Fluid Flow Based  on SUPG Formulation

<table>Horizontal (a) and vertical (b) velocity near reentrant corner. The marks “+” indicate results for steady problem and “–” indicate results for the time-dependent problem at time <svg height="11.1" id="M437" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 51.75 11.1" width="51.75" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="7.37677" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="19.417158" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="25.668659" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="31.920158" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="35.04591" y="0">5</tspan>
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</g>
</g>
</svg> using time step <svg height="10.9125" id="M438" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 47.525002 10.9125" width="47.525002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
<tspan style="font-size: 12.50px; " x="10.239957" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.280346" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.531845" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.657597" y="0">1</tspan>
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Discrete Dynamics in Nature and Society

fig3

Figure 3

Figure 3: A Defect-Correction Method  for Time-Dependent Viscoelastic Fluid Flow Based  on SUPG Formulation 