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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >An improved numerical scheme for the SIMPLER method on nonorthogonal curvilinear coordinates: SIMPLERM
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An improved numerical scheme for the SIMPLER method on nonorthogonal curvilinear coordinates: SIMPLERM

机译：非正交曲线坐标上SIMPLER方法的改进数值格式：SIMPLERM

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摘要

In this article, an improved numerical algorithm named SIMPLERM is proposed for incompressible fluid flow computations on the nonstaggered and nonorthogonal curvilinear grid system. In the proposed algorithm, the contravariant velocities are chosen as the cell face velocities and the Cartesian components as the primary variables. The velocity under-relaxation factor is incorporated into the momentum interpolation, and special treatment is adopted to avoid the underrelaxation factor dependence of the velocity solution. In addition, a 1-delta pressure difference is introduced into the interfacial contravariant velocity determination. Compared with the existing implementation methods of the SIMPLE family on non-staggered and nonorthogonal grids, the SIMPLERM algorithm can guarantee the coupling between velocity and pressure, underrelaxation independence of the solution, and satisfaction of the conservation law, while still possessing sufficient robustness.
机译：在本文中，提出了一种改进的数值算法SIMPLERM，用于非交错和非正交曲线网格系统上的不可压缩流体流动计算。在所提出的算法中，将反速度选择为单元面速度，将笛卡尔分量作为主要变量。将速度欠松弛因子纳入动量插值，并采取特殊处理以避免速度解欠松弛因子的依赖性。另外，在界面反变速度确定中引入了1-δ压力差。与SIMPLE系列在非交错和非正交网格上的现有实现方法相比，SIMPLERM算法可以保证速度和压力之间的耦合，解决方案的松弛松弛独立性以及守恒律的满足，同时仍具有足够的鲁棒性。

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