HIGH-ACCURACY EMBEDDED BOUNDARY GRID GENERATION USING THE DIVERGENCE THEOREM

HIGH-ACCURACY EMBEDDED BOUNDARY GRID GENERATION USING THE DIVERGENCE THEOREM
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利用散度定理生成高精度嵌入式边界网格

DOI:
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发表时间:
2015
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通讯作者:
E. Ateljevich
E. Ateljevich
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文献类型:
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作者:
P. Schwartz;J. Percelay;T. Ligocki;H. Johansen;D. Graves;D. Devendran;P. Colella;E. Ateljevich

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我们提出了一种算法,以产生必要的几何信息的有限体积计算的背景下,嵌入边界的笛卡尔网格。给定一个顺序的整体计算的精度,我们展示了什么样的精度是所需的每个几何quantites,我们演示了如何计算的时刻,使用发散定理。我们证明,对于一个已知的通量,这些时刻可以用来创建一个预期的顺序通量发散。
We present an algorithm to produce the necessary geometric information for finite volume calculations in the context of Cartesian grids with embedded boundaries. Given an order of accuracy for the overall calculation, we show what accuracy is required for each of the geometric quantites and we demonstrate how to calculate the moments using the divergence theorem. We demonstrate that, for a known flux, these moments can be used to create a flux divergence of the expected order.