Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations

被引：145
作者：
Klaij, C. M.
van der Vegt, J. J. W.
van der Ven, H.
机构：
[1] Univ Twente, Dept Appl Math, NL-7500 AE Enschede, Netherlands
[2] Natl Aerosp Lab, NLR, NL-1006 BM Amsterdam, Netherlands
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2006年 / 217卷 / 02期
关键词：
compressible Navier-Stokes equations; discontinuous Galerkin finite element methods; numerical fluxes; Arbitrary Lagrangian Eularian (ALE) formulation;
D O I：
10.1016/j.jcp.2006.01.018
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations is presented. We explain the space-time setting, derive the weak formulation and discuss our choices for the numerical fluxes. The resulting numerical method allows local grid adaptation as well as moving and deforming boundaries, which we illustrate by computing the flow around a 3D delta wing on an adapted mesh and by simulating the dynamic stall phenomenon of a 2D airfoil in rapid pitch-up maneuver. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：589 / 611
页数：23
相关论文
共 33 条
[1]   Unified analysis of discontinuous Galerkin methods for elliptic problems [J].
Arnold, DN ;
Brezzi, F ;
Cockburn, B ;
Marini, LD .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 39 (05) :1749-1779
[2]   Numerical evaluation of two discontinuous Galerkin methods for the compressible Navier-Stokes equations [J].
Bassi, F ;
Rebay, S .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 40 (1-2) :197-207
[3]   A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations [J].
Bassi, F ;
Rebay, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 131 (02) :267-279
[4]   Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and k-ω turbulence model equations [J].
Bassi, F ;
Crivellini, A ;
Rebay, S ;
Savini, M .
COMPUTERS & FLUIDS, 2005, 34 (4-5) :507-540
[5]  
BASSI F, 1997, 2 EUR C TURB FLUID D, P99
[6]   On the choice of wavespeeds for the HLLC Riemann solver [J].
Batten, P ;
Clarke, N ;
Lambert, C ;
Causon, DM .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1997, 18 (06) :1553-1570
[7]  
Baumann CE, 1999, INT J NUMER METH FL, V31, P79, DOI 10.1002/(SICI)1097-0363(19990915)31:1<79::AID-FLD956>3.0.CO
[8]  
2-C
[9]   Boundary conforming discontinuous Galerkin finite element approach for rotorcraft simulations [J].
Boelens, OJ ;
van der Ven, H ;
Oskam, B ;
Hassan, AA .
JOURNAL OF AIRCRAFT, 2002, 39 (05) :776-785
[10]  
Brezzi F, 2000, NUMER METH PART D E, V16, P365, DOI 10.1002/1098-2426(200007)16:4<365::AID-NUM2>3.0.CO
1234