A 3D Unstructured Grid Method for Incompressible Viscous Flows
A 3D Unstructured Grid Method for Incompressible Viscous Flows
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不可压缩粘性流的 3D 非结构化网格方法
DOI：
10.2534/jjasnaoe1968.1997.182_9
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
T. Hino
中科院分区：
文献类型：
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作者：
T. Hino
提出了一种模拟三维不可压缩粘性流动的非结构网格方法。数值求解的控制方程是带有人工压缩性的Navier-Stokes方程。空间离散采用非结构网格有限体积法。对于无粘项采用通量差分分裂格式，对于粘性项采用中心差分格式，在空间上达到二阶精度。时间积分采用后向欧拉法。由时间线性化得到的线性系统用Gauss-Seidel迭代法求解。对于高雷诺数流动的分析，采用Spalart和Allmaras提出的一方程湍流模型。湍流方程以与Navier-Stokes方程类似的方式求解。文中简要介绍了数值方法，并给出了二维翼型和船型绕流的计算结果。
An unstructured grid method for simulating three-dimensional incompressible viscous flows is presented. The governing equations to be solved numerically are the Navier-Stokes equations with artificial compressibility. The spatial discretization is based on a finite volume method for unstructured grid system. Second order accuracy in space is achieved using a flux-difference-splitting scheme with MUSCL approach for inviscid terms and a central difference scheme for viscous terms. Time integration is carried out by the backward Euler method. The linear system derived from the linearization in time is solved by the Gauss-Seidel iteration. For the analysis of high Reynolds number flows, the one equation turbulence model proposed by Spalart and Allmaras is used. The turbulence equation is solved in a similar way as the Navier-Stokes equations. Brief description of the numerical method is given together with some computational results for flows around a 2 D wing section and a ship form.