A multidimensional approach to rarefied and transitional flows with the CIP method

Abstract

SUMMARYA high-order kinetic approach based on the CIP method to solve the nonlinear multidimensional BhatnagarGross-Krook equation is presented. Some applications such as Couette/Poiseulle flows and supersonic flows show that the present method can give accurate and stable solutions for both rarefied and transitional gas flows. A new adaptive Soroban-grid which is suitable for the CIP method is combined with the present method for supersonic flows to track steep profiles such as shock fronts with higher resolution than fixed grids.

A new directional-splitting CIP interpolation with high accuracy and low memory consumption

“…For example, in the 3D Vlasov-Boltzmann Equation [11,12], we have six dimensions in the phase space, i.e. m = 1 to 6, three for space and three for velocity.…”