Boundary conditions for Grad's 13 moment equations
by Toby Thatcher, Y. Zheng, H. Struchtrup
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 8, No. 1/2/3/4, 2008

Abstract: A complete set of boundary conditions for Grad's 13 moment equations is derived from Maxwell's boundary conditions for the Boltzmann equation. The equations are solved for plane Couette flow. The results exhibit temperature jump and slip, and agree well with DSMC calculations for Knudsen numbers Kn ≤ 0.1. Non-linear effects lead to unphysical results at larger Knudsen numbers, and for very fast flows. A simplified version of the Grad 13 equations, the so-called bulk equations, gives meaningful results in conditions where the full set of equations fails.

Online publication date: Wed, 30-Apr-2008

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