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On boundary conditions and numerical methods for the unsteady incompressible navier-stokes equations

机译：非定常不可压缩Navier-stokes方程的边界条件和数值方法

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摘要

Numerical methods and boundary conditions to solve the unsteady incompressible Navier-Stokes equations are discussed. It is shown, via the analysis of the governing partial differential equations and their discretized algebraic equations, that boundary conditions necessary to solve the incompressible Navier-Stokes equations are conditions either for the normal and tangential components of velocities or alternatively for the normal velocity and tangential vorticity components. In an explicit formulation, the solution of the resulting system of algebraic equations is got more efficiently by solving either the pressure or velocity Poisson equation. The boundary conditions necessary to solve these Poisson equations are provided from velocity boundary conditions and momentum equations. Results of numerical simulations of some selected unsteady flows are also presented.
机译：讨论了求解非稳态不可压缩Navier-Stokes方程的数值方法和边界条件。通过对控制性偏微分方程及其离散代数方程的分析表明，求解不可压缩的Navier-Stokes方程所需的边界条件是速度的法向和切向分量的条件，或者是法向速度和切向的条件。涡度分量。在一个明确的表述中，通过求解压力泊松方程或速度泊松方程，可以更有效地获得所得代数方程组的解。由速度边界条件和动量方程提供了求解这些泊松方程所需的边界条件。还提供了一些选定的非恒定流的数值模拟结果。

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