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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >Development of a compact and accurate discretization for incompressible Navier-Stokes equations based on an equation-solving solution gradient, Part III: Fluid flow simulations on staggered polygonal grids
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Development of a compact and accurate discretization for incompressible Navier-Stokes equations based on an equation-solving solution gradient, Part III: Fluid flow simulations on staggered polygonal grids

机译：基于方程解解梯度的不可压缩的Navier-Stokes方程的紧凑而精确的离散化开发，第三部分：交错多边形网格上的流体流动模拟

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摘要

A compact and accuracy discretization of incompressible Navier-Stokes equations on staggered polygonal grids is presented in this article. It is a sequel to our efforts in developing a feasible solution procedure to simulate incompressible flow problems in complicated domains. By taking advantage of the discretization procedure for the convection-diffusion equation described in our previous work, difference counterparts of the Navier-Stokes equations can be obtained on staggered polygonal grids. Additional ingredients of pressure-velocity coupling and boundary conditions for velocity gradients in the solution procedure are also described. Several test problems are solved to illustrate the feasibility of the present formulation. From the numerical results obtained, it is evident that the proposed scheme is a useful tools to simulate incompressible flow field in arbitrary domains.
机译：本文提出了交错多边形网格上不可压缩的Navier-Stokes方程的紧凑且精确的离散化。这是我们开发可行的求解程序以模拟复杂域中不可压缩流问题的结果的后遗症。通过利用我们先前工作中描述的对流扩散方程的离散过程，可以在交错的多边形网格上获得Navier-Stokes方程的差分对应项。还描述了求解过程中压力-速度耦合的其他成分以及速度梯度的边界条件。解决了几个测试问题以说明本配方的可行性。从获得的数值结果可以看出，所提出的方案是在任意域中模拟不可压缩流场的有用工具。

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