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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

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