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Adaptive hybrid grid methods

机译:自适应混合网格方法

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摘要

An adaptive refinement and redistribution method is presented for use on hybrid grids composed of prismatic, pyramidal and tetrahedral elements. The combined refinement and redistribution scheme minimizes the computational time and memory required for the solver and maximizes the numerical accuracy. Grid refinement is achieved via a priori source placement and also solution based splitting of the edges of the grid elements. The prismatic and pyramidal elements are divided directionally and the tetrahedral elements may be refined isotropically or directionally. The prismatic grid redistribution scheme attracts or repels points that are close to the wall surface so as to better capture boundary layers. A method is developed to place newly created boundary nodes on the actual splined surface instead of the previous discretized surface. This ensures that the grid refinement always represents the geometric model accurately. Several examples are presented to demonstrate the a priori source placement, the solution based grid refinement and the prismatic grid redistribution.
机译:提出了一种自适应细化和重新分配方法,该方法可用于由棱柱形,金字塔形和四面体元素组成的混合网格。改进和重新分配的组合方案最大程度地减少了求解器所需的计算时间和内存,并使数值精度最大化。网格优化是通过先验源放置以及网格元素边缘的基于解决方案的拆分来实现的。棱柱形和金字塔形元素按方向划分,四面体元素可以各向同性或方向精化。棱柱形网格重新分布方案吸引或排斥靠近墙表面的点,以便更好地捕获边界层。开发了一种方法,可将新创建的边界节点放置在实际的花键曲面上,而不是先前的离散曲面上。这样可以确保网格细化始终准确地表示几何模型。给出了几个例子来说明先验源的位置,基于解决方案的网格细化和棱柱形网格的重新分布。

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