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首页> 外文期刊>Journal of Computational Physics >A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
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A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes

机译：非结构网格上二维可压缩流体流动的高阶以细胞为中心的拉格朗日方案

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摘要

We present a high-order cell-centered Lagrangian scheme for solving the two-dimensional gas dynamics equations on unstructured meshes. A node-based discretization of the numerical fluxes for the physical conservation laws allows to derive a scheme that is compatible with the geometric conservation law (GCL). Fluxes are computed using a nodal solver which can be viewed as a two-dimensional extension of an approximate Riemann solver. The first-order scheme is conservative for momentum and total energy, and satisfies a local entropy inequality in its semi-discrete form. The two-dimensional high-order extension is constructed employing the generalized Riemann problem (GRP) in the acoustic approximation. Many numerical tests are presented in order to assess this new scheme. The results obtained for various representative configurations of one and two-dimensional compressible fluid flows show the robustness and the accuracy of our new scheme. (C) 2008 Elsevier Inc. All rights reserved.
机译：我们提出了一个高阶以细胞为中心的拉格朗日方案，用于求解非结构化网格上的二维气体动力学方程。物理守恒定律的数值通量的基于节点的离散化允许导出与几何守恒定律（GCL）兼容的方案。使用节点求解器可以计算通量，该节点求解器可以看作是近似黎曼求解器的二维扩展。一阶格式对于动量和总能量是保守的，并且以半离散形式满足局部熵不等式。二维高阶扩展是在声学近似中采用广义黎曼问题（GRP）构造的。为了评估该新方案，提出了许多数值测试。对于一维和二维可压缩流体的各种代表性配置所获得的结果表明了我们新方案的鲁棒性和准确性。 （C）2008 Elsevier Inc.保留所有权利。

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