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Finite Difference Schemes on Locally Refined Cartesian Grids for the Solution of Gas Dynamic Problems on the Basis of Quasigasdynamics Equations

机译：基于拟气动力学方程组的气体动力学问题局部笛卡尔网格上的有限差分方案

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The paper is devoted to the numerical solution of gas dynamic problems on the basis of a system of quasigasdynamic equations in domains of complex shape. One possible grid approach to solving this class of problems is used. An approach is applying to the locally refined Cartesian (LRC) grids, consisting of rectangles (parallelepipeds) of various sizes. In this paper some variants of the construction of finite difference schemes in the two-dimensional case are considered. Their order of approximation is investigated. The analysis of the schemes is carried out numerically on the example of two-dimensional problem of gas flow under conditions of the real equation of state.

机译：本文基于复杂形状域中的准半动力学方程组，致力于气体动力学问题的数值解。使用了一种可能的网格方法来解决此类问题。一种方法适用于由各种大小的矩形（平行六面体）组成的局部精制笛卡尔（LRC）网格。本文考虑了二维情况下有限差分格式构造的一些变体。研究了它们的近似阶数。在实状态方程的条件下，以二维气流问题为例，对方案进行了数值分析。

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来源
《Finite difference methods: theory and applications》|2018年|321-328|共8页
会议地点 Lozenetz(BG)
作者
Yury N. Karamzin; Tatiana A. Kudryashova; Sergey V. Polyakov; Viktoriia O. Podryga;
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作者单位

Keldysh Institute of Applied Mathematics, 4 Miusskaya sq., 125047 Moscow, Russia;

Keldysh Institute of Applied Mathematics, 4 Miusskaya sq., 125047 Moscow, Russia;

Keldysh Institute of Applied Mathematics, 4 Miusskaya sq., 125047 Moscow, Russia,National Research Nuclear University MEPhI, (Moscow Engineering Physics Institute), 31 Kashirskoe sh., 115409 Moscow, Russia;

Keldysh Institute of Applied Mathematics, 4 Miusskaya sq., 125047 Moscow, Russia,Moscow Automobile and Road Construction State Technical University, 64 Leningradsky prospect, 125319 Moscow, Russia;

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正文语种 eng
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关键词
Initial boundary value problems for quasigasdynamic equation system; Finite difference schemes; Locally refined; Cartesian grids;

机译：拟半动力学方程组的初边值问题；有限差分方案；本地精制；笛卡尔网格;

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1. Discontinuous Galerkin time-domain solution of Maxwell's equations on locally-refined nonconforming Cartesian grids [J] . N. Canouet, L. Fezoui, S. Piperno Compel . 2005,第4期

机译：局部精化不协调笛卡尔网格上麦克斯韦方程组的间断Galerkin时域解
2. A conservative finite volume method for incompressible Navier-Stokes equations on locally refined nested Cartesian grids [J] . Sifounakis Adamandios, Lee Sangseung, You Donghyun Journal of Computational Physics . 2016,第Null期

机译：局部精炼嵌套笛卡尔网格上不可压缩Navier-Stokes方程的保守有限体积方法
3. A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids [J] . Han Chen, Chohong Min, Frederic Gibou Journal of Scientific Computing . 2007,第1a2期

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4. Finite Difference Schemes on Locally Refined Cartesian Grids for the Solution of Gas Dynamic Problems on the Basis of Quasigasdynamics Equations [C] . Yury N. Karamzin, Tatiana A. Kudryashova, Sergey V. Polyakov, International Conference on Finite Difference Methods . 2019

机译：在Quasigasdnamics方程基于Quasignynamics方程的局部精制笛卡尔网格上的有限差分计划
5. Higher-order Cartesian grid based finite difference methods for elliptic equations on irregular domains and interface problems and their applications. [D] . Kyei, Yaw. 2004

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6. High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling [O] . H T Banks, Malcolm J Birch, Mark P Brewin, -1

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7. Discontinuous Galerkin time-domain solution of Maxwell’s equations on locally-refined nonconforming cartesian grids [O] . N. Canouet, France Telecom R, La Turbie 2015

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8. Positive Finite-Difference Advection Scheme Applied on Locally Refined Grids [R] . Hundsdorfer, W. H., Koren, B., Vanloon, M., 1993

机译：局部精细网格上的正有限差分平流算法

Finite Difference Schemes on Locally Refined Cartesian Grids for the Solution of Gas Dynamic Problems on the Basis of Quasigasdynamics Equations

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