A Comprehensive Comparison of Higher-Order Moment Equations and DSMC for Force-Driven Poiseuille Gas Flow

Abstract

The compressible Poiseuille gas flow within a channel driven by uniform body force emerges as a benchmark for testing the higher-order moment equations in the velocity shear dominated flow problems. The various solutions by NCCR theory, DSMC, and R-13 moment theory are compared comprehensively with emphasis on the physical behavior in phase space. Also, a simple method for the validation study of numerical solutions in high non-equilibrium flow problem is proposed. Using the new method, the accuracy of the numerical solutions in the force-driven Poiseuille gas flow, in particular, near the solid wall, is examined.