A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers

Tavelli Maurizio; Dumbser Michael

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A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers

机译：基于压力的半隐式空间空间不连续的Galerkin方法，用于在所有Mach数字处的可压缩Navier-Stokes方程的解决方案

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摘要

We propose a new arbitrary high order accurate semi-implicit space-time discontinuous Galerkin (DG) method for the solution of the two and three dimensional compressible Euler and Navier-Stokes equations on staggered unstructured curved meshes. The method is pressure-based and semi-implicit and is able to deal with all Mach number flows.

机译：我们提出了一种新的任意高阶精确的半隐式空间不连续的Galerkin（DG）方法，用于解决两个和三维可压缩的欧拉和Navier-Stokes方程上交错的非结构化弯曲网格。该方法是基于压力和半隐式的，能够处理所有Mach数量流。

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来源
《Journal of Computational Physics》 |2017年第2017期|共36页
作者
Tavelli Maurizio; Dumbser Michael;
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作者单位

Univ Trento Dept Civil Environm &

Mech Engn Via Mesiano 77 I-38123 Trento Italy;

Univ Trento Dept Civil Environm &

Mech Engn Via Mesiano 77 I-38123 Trento Italy;

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正文语种 eng
中图分类数学物理方法;
关键词
Pressure-based semi-implicit space time discontinuous Galerkin scheme; Staggered unstructured meshes; High order of accuracy in space and time; Compressible Navier Stokes equations; All Mach number flows;

机译：基于压力的半隐式空间时间不连续的Galerkin方案;交错的非结构化网格;空间和时间的高准确度;可压缩Navier Stokes方程;所有马赫数流动;

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1. A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers [J] . Tavelli Maurizio, Dumbser Michael Journal of Computational Physics . 2017,第期

机译：基于压力的半隐式空间空间不连续的Galerkin方法，用于在所有Mach数字处的可压缩Navier-Stokes方程的解决方案
2. Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids [J] . Francesco Fambri, Michael Dumbser Applied numerical mathematics . 2016,第DECa期

机译：交错笛卡尔网格上不可压缩的Navier-Stokes方程的谱半隐式和时空不连续Galerkin方法
3. A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes [J] . Maurizio Tavelli, Michael Dumbser Applied mathematics and computation . 2014,第Null期

机译：交错非结构网格上二维浅水方程的高阶半隐式间断Galerkin方法
4. A Discontinuous Galerkin Method for the Navier-Stokes Equations on Deforming Domains using Unstructured Moving Space-Time Meshes [C] . Luming Wang, Per-Olof Persson AIAA computational fluid dynamics conference . 2013

机译：非结构化移动时空网格的变形域上的Navier-Stokes方程的不连续Galerkin方法
5. Differential formulation of discontinuous Galerkin and related methods for compressible Euler and Navier-Stokes equations. [D] . Gao, Haiyang. 2011

机译：不连续Galerkin的微分公式和可压缩的Euler和Navier-Stokes方程的相关方法。
6. Fast methods for the Eikonal and related Hamilton– Jacobi equations on unstructured meshes [O] . J. A. Sethian, A. Vladimirsky 2016

机译：非结构化网格上的Eikonal方程和相关的Hamilton– Jacobi方程的快速方法
7. A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers [O] . Tavelli, Maurizio, Dumbser, Michael 2016

机译：基于压力的半隐式时空不连续Galerkin方法在交错的非结构网格上解决可压缩的问题所有马赫数的Navier-stokes方程
8. Variable degree Schwarz methods for the implicit solution of unsteady compressible Navier-Stokes equations on two-dimensional unstructured meshes [R] . Cai, Xiao-Chuan, Farhat, Charbel, Sarkis, Marcus 1996

机译：二维非结构网格上非定常可压缩Navier-stokes方程隐式求解的可变度schwarz方法

A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers

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