Kinetic Schemes and Boundary Conditions for Moment Equations in Kinetic Theory

Wednesday, May 24, 2000 - 3:30pm - 3:55pm
Keller 3-180
Henning Struchtrup (University of Victoria)
A numerical scheme for moment equations of kinetic theory, due to LeTallec & Perlat, is considered for the calculation of stationary heat transfer in the Grad moment system with up to 430 moments.

The numerical results for Knudsen numbers Kn=0.01 ... Kn=1 exhibit temperature jumps and boundary layers at the wall. With increasing numbers of moments, the results of the various sets of equations converge.

The boundary conditions do not guarantee conservation of energy at the walls, but the increase of the number of moments reduces the error to less than 0.3%.