SOLUTION OF THE EULER EQUATIONS ON SOLUTION-ADAPTIVE CARTESIAN GRIDS
SOLUTION OF THE EULER EQUATIONS ON SOLUTION-ADAPTIVE CARTESIAN GRIDS
复制标题
自适应解笛卡尔网格上欧拉方程的解
DOI：
10.1142/9789812812957_0004
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
K. Powell
中科院分区：
文献类型：
--
作者：
K. Powell
求解自适应笛卡尔网格方法对CFD的吸引力在于网格生成过程可以自动化的程度。在大多数网格生成方法中，起点是离散的表面几何，最终生成的体积网格的质量高度依赖于表面几何的离散化。在笛卡尔方法中，体积网格的质量对原始表面几何描述的依赖程度要小得多；事实上，两者几乎是完全解耦的。然而，笛卡尔网格生成方法在求解器的开发中引入了困难。为了获得适当的分辨率，自适应网格是必要的，而且，即使有了自适应，高保真笛卡尔流解所需的单元数也高于贴体网格解，无论是结构化的还是非结构化的。笛卡尔求解器还必须能够处理在笛卡尔网格生成过程中出现的小切割单元。本文描述了笛卡尔网格生成的方法，以及在自适应笛卡尔网格上工作良好的流求解器。
The appeal of the solution-adaptive Cartesian Grid approach to CFD is the degree to which the grid-generation procedure can be automated. In most grid-generation approaches , the starting point is a discretized surface geometry, and the quality of the volume grid that is ultimately generated is highly dependent on the discretization of the surface geometry. In the Cartesian approach, the quality of the volume grid is much less dependent on the original surface geometry description; in fact, the two are almost entirely decoupled. The Cartesian approach to grid generation introduces difficulties in the development of a solver, however. For proper resolution, adaptive gridding is a virtual necessity, and, even with adaptation, the number of cells necessary for a high-fidelity Cartesian flow solution is higher than that of a solution on a body-fitted grid, whether structured or unstructured. The Cartesian solver must also be able to handle the small cut cells that occur in the Cartesian grid-generation procedure. This paper describes approaches for Cartesian grid generation, and for flow solvers that work well on adaptive Cartesian grids.