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Computing High Reynolds Number Flows by a Semi-Lagrangian Scheme

机译:通过半拉格朗日方案计算高雷诺数流

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摘要

The Semi-Lagrangian(SL)scheme developed for incompressible Navier-Stokes equations written in generalized coordinates has been explored to accurately solve the high Reynolds number flows. The instabil- ity related to the advection term of the Navier-Stokes equations is classified into linear instability and nonlinear instability. The former is controlled by the CFL condition, and the latter is due to the aliasing error. The linear instability is naturally eliminated by employment of the SL scheme.
机译:为精确求解高雷诺数流,探索了针对用广义坐标编写的不可压缩Navier-Stokes方程开发的Semi-Lagrangian(SL)方案。与Navier-Stokes方程的对流项相关的不稳定性分为线性不稳定性和非线性不稳定性。前者受CFL条件控制,而后者则由混叠误差引起。采用SL方案自然可以消除线性不稳定性。

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