A Unifying Discontinuous CPR Formulation for the Navier-Stokes Equations on Mixed Grids

被引：3

作者：

Wang, Z. J. ^{[1
]}

Gao, Haiyang ^{[1
]}

Haga, Takanori ^{[1
]}

机构：

[1] Iowa State Univ, Dept Aerosp Engn, CFD Ctr, Ames, IA 50011 USA

来源：

COMPUTATIONAL FLUID DYNAMICS 2010 | 2011年

关键词：

FINITE-ELEMENT METHOD; UNSTRUCTURED GRIDS; CONSERVATION-LAWS; BASIC FORMULATION;

D O I：

10.1007/978-3-642-17884-9_5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A unifying discontinuous formulation named the correction procedure via reconstruction (CPR) for conservation laws is extended to solve the Navier-Stokes equations for mixed grids. The CPR framework can unify several popular high order methods including the discontinuous Galerkin and the spectral volume methods into a differential formulation without explicit volume or surface integrations. Several test cases are computed to demonstrate its performance.

引用

页码：59 / 65

页数：7

共 11 条

[1] A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
Bassi, F
Rebay, S
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 131 (02) : 267 - 279
[2] The local discontinuous Galerkin method for time-dependent convection-diffusion systems
Cockburn, B
Shu, CW
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (06) : 2440 - 2463
[3] TVB RUNGE-KUTTA LOCAL PROJECTION DISCONTINUOUS GALERKIN FINITE-ELEMENT METHOD FOR CONSERVATION-LAWS .2. GENERAL FRAMEWORK
COCKBURN, B
SHU, CW
[J]. MATHEMATICS OF COMPUTATION, 1989, 52 (186) : 411 - 435
[4] Huynh H.T., AIAA Paper 2007-4079
[5] Kopriva DA, 1996, J COMPUT PHYS, V125, P244, DOI 10.1006/jcph.1996.0091
[6] Spectral difference method for unstructured grids I: Basic formulation
Liu, Yen
Vinokur, Marcel
Wang, Z. J.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 216 (02) : 780 - 801
[7] Reed W., 1973, LAUR73479
[8] ROE PL, 1981, J COMPUT PHYS, V43, P357, DOI [10.1016/0021-9991(81)90128-5, 10.1006/jcph.1997.5705]
[9] High-order methods for the Euler and Navier-Stokes equations on unstructured grids
Wang, Z. J.
[J]. PROGRESS IN AEROSPACE SCIENCES, 2007, 43 (1-3) : 1 - 41
[10] A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
Wang, Z. J.
Gao, Haiyang
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (21) : 8161 - 8186

← 1 2 →