A high-order density-based finite volume method for the computation of all-speed flows

被引:16
作者
Nogueira, Xesus [1 ]
Ramirez, Luis [1 ]
Khelladi, Sofiane [2 ]
Chassaing, Jean-Camille [3 ]
Colominas, Ignasi [1 ]
机构
[1] Univ A Coruna, Grp Numer Methods Engn, Campus Elvina, La Coruna 15071, Spain
[2] Arts & Met ParisTech, F-75013 Paris, France
[3] Univ Paris 06, Sorbonne Univ, CNRS, Inst Jean Le Rond Dalembert,UMR 7190, F-75005 Paris, France
关键词
High-order methods; Low-Mach flows; Finite volume; All-speed flows; Moving Least Squares; NAVIER-STOKES EQUATIONS; MOVING LEAST-SQUARES; UPWIND SCHEMES; COMPRESSIBLE FLOWS; SOLVERS; DISSIPATION; RESOLUTION; BEHAVIOR; MODELS; EULER;
D O I
10.1016/j.cma.2015.10.004
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper we present a high-order density-based finite-volume framework for all-speed flows. The formulation is based on high-order variable reconstructions performed using Moving Least Squares approximations. In particular, we show that combining high-order discretization schemes with low-Mach fixes, it is possible to remove the grid dependency problem at low Mach numbers on both structured and unstructured grids. In order to maintain the accuracy and the robustness of the numerical method at transonic conditions, different procedures are proposed, based on the use of a selective limiting. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:229 / 251
页数:23
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