空间推进方法求解抛物化Navier-Stokes方程及其验证

Solving PNS equations with space marching method and it's validation

采用伪时间空间推进方法求解完全气体PNS方程。PNS方程采用有限体积方法离散,在推进方向上采用一阶精度迎风格式,在推进面的展向和法向采用三阶精度的MUSCL插值和AUSM类通量构造格式;在推进面上的伪时间推进采用二维LU-SGS迭代方法。通过算例证明,空间推进方法能得到正确的压力、摩阻和热流分布,且计算时间比时间迭代方法快一个数量级以上。

This paper use pseudo-time space marching method to solve caloric perfect gas mode PNS equations. PNS equations are discretized by finite volume method, using first order up-wind scheme in the streamwise direction and third order MUSCL interpolate method and AUSM category schemes in the normal direction and spanwise. In the space marching plane, implicit, two dimensional LU-SGS iteration method is used. Present method is validated by three examples and all of them have good agreements in velocity profiles, wall pressure, wall heat flux and wall skin friction.