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Second-order invariant domain preserving approximation of the compressible Navier--Stokes equations
arXiv - CS - Numerical Analysis Pub Date : 2020-09-13 , DOI: arxiv-2009.06022
Jean-Luc Guermond and Matthias maier and Bojan popov and ignacio Tomas

We present a fully discrete approximation technique for the compressible Navier-Stokes equations that is second-order accurate in time and space, semi-implicit, and guaranteed to be invariant domain preserving. The restriction on the time step is the standard hyperbolic CFL condition, ie $\tau \lesssim \mathcal{O}(h)/V$ where $V$ is some reference velocity scale and $h$ the typical meshsize.

中文翻译:

可压缩 Navier--Stokes 方程的二阶不变域保持近似

我们为可压缩的 Navier-Stokes 方程提出了一种完全离散的近似技术,它在时间和空间上是二阶精确的,半隐式的,并保证保持不变域。时间步长的限制是标准的双曲线 CFL 条件,即 $\tau \lesssim \mathcal{O}(h)/V$ 其中 $V$ 是一些参考速度尺度,$h$ 是典型的网格尺寸。
更新日期:2020-09-15
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