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首页> 外文期刊>Journal of Computational Physics >ALGEBRAIC LIMITATIONS ON TWO-DIMENSIONAL HYDRODYNAMICS SIMULATIONS
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ALGEBRAIC LIMITATIONS ON TWO-DIMENSIONAL HYDRODYNAMICS SIMULATIONS

机译:二维水动力模拟的代数限制

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Algebraic limitations imposed by the use of connected straightline segments to define meshes for hydrodynamics simulations in two-dimensional cylindrical geometries are shown. It is shown that in the simplest smooth isentropic flow of the spherical expansion of a gas with point symmetry, commonly, and currently, used finite difference, finite volume, or finite element staggered grid hydrodynamics equations cannot simultaneously preserve energy, entropy, and sphericity on an equal-angle R - Theta mesh. It is further shown why finite difference codes tend to preserve sphericity and entropy, while finite element codes tend to preserve sphericity and energy. Exact difference representations of interface (cell face) pressures and work terms and of the elements of the strain rate tensor in a cell are shown. (C) 1996 Academic Press, Inc. [References: 16]
机译:显示了通过使用连接的直线段来定义二维圆柱几何中的水动力模拟网格所施加的代数限制。结果表明,在具有点对称性的气体的球面展开的最简单的平滑等熵流中,通常且当前,使用的有限差分,有限体积或有限元交错网格流体动力学方程无法同时保留能量,熵和球形度。等角R-Theta网格。进一步说明了为什么有限差分代码倾向于保留球形和熵,而有限元代码倾向于保留球形和能量。显示了界面(单元表面)压力和工作项以及单元中应变率张量的元素的精确差异表示。 (C)1996 Academic Press,Inc. [参考:16]

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