Boltzmann Transport Equation - COMSOL.com
Boltzmann Transport Equation - COMSOL.com
Boltzmann Transport Equation - COMSOL.com
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Transient Problem: Effect of Spatial Refinement<br />
(More Finite Elements)<br />
• Refine spatial (x-) direction with n finite elements (n=15, 60, 120).<br />
• Divide angular direction with 16 Gaussian points (ngp=16).<br />
Nondimensional temperature, θ<br />
0.6<br />
0.5<br />
0.4<br />
0.3<br />
0.2<br />
0.1<br />
0<br />
Temperature @ t*=0.1<br />
15 elements<br />
60 elements<br />
120 elements<br />
0 0.2 0.4 0.6 0.8 1<br />
Nondimensional coordinate, η<br />
Nondimensional temperature, θ<br />
0.55<br />
0.5<br />
0.45<br />
0.4<br />
0.35<br />
15 elements<br />
60 elements<br />
120 elements<br />
Ray effect.<br />
0 0.1 0.2 0.3<br />
Nondimensional coordinate, η<br />
• Spatial refinement leads to a smoother<br />
solution.<br />
• However, it does not solve ray effect.<br />
13