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A PROJECTION METHOD FOR LOCALLY REFINED GRIDS

机译：局部细化网格的投影方法

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摘要

A numerical method for the solution of the two-dimensional Euler equatons for incompressible flow on locally refined grids is presented. The method is a second-order Godunov-projection method adapted from Bell, Colella, and Glaz. Second-order accuracy of the numerical method in time and space is established through numerical experiments. The main contributions of this work concern the formulation and implementation of a projection for refined grids. A discussion of the adjointness relation between gradient and divergence operators for a refined grid MAC projection is presented, and a refined grid approximate projection is developed. An efficient multigrid method which exactly solves the projection is developed, and a method for casting certain approximate projections as MAC projections on refined grids is presented. (C) 1996 Academic Press, Inc. [References: 35]
机译：提出了一种求解局部精细网格上不可压缩流动的二维欧拉方程的数值方法。该方法是从Bell，Collella和Glaz改编的二阶Godunov投影方法。通过数值实验确定了数值方法在时间和空间上的二阶精度。这项工作的主要贡献涉及制定和实施精炼电网的预测。讨论了精细网格MAC投影中梯度算子和散度算子之间的邻接关系，并提出了精细网格近似投影。提出了一种精确求解投影的有效多网格方法，提出了一种将某些近似投影作为MAC投影投射到精制网格上的方法。 （C）1996 Academic Press，Inc. [参考：35]

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