Circular Function-Based Gas-Kinetic Scheme for Simulation of Viscous Compressible Flows

摘要

A stable gas-kinetic scheme based on circular function is proposed for simulation of viscous compressible flows in this paper. The main idea of this scheme is to simplify the integral domain of Maxwellian distribution function over the phase velocity and phase energy to modified Maxwellian function, which will integrate over the phase velocity only. Then the modified Maxwellian function can be degenerated to a circular function with the assumption that all particles are distributed on a circle. Firstly, the RAE2822 airfoil is simulated to validate the accuracy of this scheme. Then the nose part of an aerospace plane model is studied to prove the potential of this scheme in industrial application. Simulation results show that the method presented in this paper has a good computational accuracy and stability.