A second-order cell-centered Lagrangian scheme for two-dimensional compressible flow problems

Pierre-Henri Maire; Jerome Breil

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A second-order cell-centered Lagrangian scheme for two-dimensional compressible flow problems

机译：二维可压缩流动问题的二阶以细胞为中心的拉格朗日方案

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摘要

This paper is devoted to the simulation of two-dimensional compressible fluid flows. We present a new second-order cell-centered scheme that solves the gas dynamics equations written in the Lagrangian formalism. The scheme is developed on general unstructured meshes consisting of arbitrary polygons. The robustness and accuracy of this new scheme are demonstrated through several test cases.

机译：本文致力于二维可压缩流体流动的模拟。我们提出了一种新的以细胞为中心的二阶方案，该方案解决了用拉格朗日形式主义编写的气体动力学方程。该方案是在由任意多边形组成的普通非结构化网格上开发的。通过几个测试案例证明了该新方案的鲁棒性和准确性。

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《International Journal for Numerical Methods in Fluids》 |2008年第8期|共7页
作者
Pierre-Henri Maire; Jerome Breil;
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正文语种 eng
中图分类流体力学;
关键词
Gas dynamics equations; Cell-centered Lagrangian scheme;

机译：气体动力学方程;以细胞为中心的拉格朗日方案;

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专利

1. A second-order cell-centered Lagrangian scheme for two-dimensional compressible flow problems [J] . Pierre-Henri Maire, Jerome Breil International Journal for Numerical Methods in Fluids . 2008,第8期

机译：二维可压缩流动问题的二阶以细胞为中心的拉格朗日方案
2. Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case [J] . Vilar Francois, Shu Chi-Wang, Maire Pierre-Henri Journal of Computational Physics . 2016,第Null期

机译：多材料可压缩流的保正性以细胞为中心的拉格朗日方案：从一阶到高阶。第二部分：二维情况
3. A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry [J] . Cheng J., Shu C.-W. Journal of Computational Physics . 2010,第19期

机译：二维对称圆柱几何中可压缩流体流的对称性和守恒性质保持的以细胞为中心的拉格朗日方案
4. A Cell-Centered Lagrangian Method Based on Local Evolution Galerkin Scheme for Two-Dimensional Compressible Flows [C] . Ming Yu, Haibo Xu, Yutao Sun International Conference on Advanced Engineering Computing and Applications in Sciences . 2015

机译：基于局部演进Galerkin方案的细胞中心拉格朗日方法，用于二维可压缩流程
5. Lagrangian coherent structures and transport in two-dimensional incompressible flows with oceanographic and atmospheric applications [D] . Rypina, Irina I. 2007

机译：拉格朗日相干结构和二维不可压缩流在海洋和大气中的应用
6. Competing Lagrangians for incompressible and compressible viscous flow [O] . F. Marner, M. Scholle, D. Herrmann, 2019

机译：竞争拉格朗日流的不可压缩和可压缩粘性流
7. A second-order cell-centered lagrangian scheme for two-dimensional compressible flow problems [O] . Pierre-henri Maire, Umr Celia, Université Bordeaux I 2013

机译：二维可压缩流动问题的二阶细胞中心拉格朗日方案
8. On the second-order tunnel-wall-constriction corrections in two-dimensional compressible flow [R] . Klunker, E Bernard, Harder, Keith C 1951

机译：关于二维可压缩流动中的二阶隧道壁收缩修正

A second-order cell-centered Lagrangian scheme for two-dimensional compressible flow problems

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