预处理方法在全速度流场数值模拟中的应用

Preconditioned Methods for Two-dimensional Numerical Simulation at All Speeds

基于预处理方法,采用有限差分方法,LU-SGS隐式求解了二维可压Navier-Stokes方程,数值模拟了无粘突包、粘性空腔、化学非平衡流场,并与试验结果进行了对比。计算结果表明,所采用的数值模拟方法能够求解低速及亚、跨、超全速度流场和化学非平衡流场,所采用的预处理方法在亚声速范围内保持数值精度的前提下,加速了收敛。

All speeds control equations were deduced from traditional compressible equations with precondition method and applied to 2D inviscous/viscous flows at all speeds. Jameson central difference scheme, LU-SGS implicit iterative method and round-off control were used to accelerate convergence rates and improve numerical precision. Computations were carried out in the bump flow in a channel, viscous cavity flow and chemical non-equilibrium flow. Numerical results were compared with standard cases. The methods and programs proved to be precise and credible. All these will serve as foundations for further study of integrated flow in combustor and nozzle.