Filter-based stabilization of spectral element methods

被引:214
作者
Fischer, P
Mullen, J
机构
[1] Argonne Natl Lab, Div Math & Comp Sci, Argonne, IL 60439 USA
[2] Worcester Polytech Inst, Comp & Commun Ctr, Worcester, MA 01609 USA
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2001年 / 332卷 / 03期
关键词
D O I
10.1016/S0764-4442(00)01763-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present a simple filtering procedure for stabilizing the spectral element method (SEM) for the unsteady advection-diffusion and Navier-Stokes equations. A number of example applications are presented, along with basic analysis for the advection-diffusion case. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:265 / 270
页数:6
相关论文
共 10 条
[1]  
[Anonymous], 1990, J SCI COMPUT
[2]   A 2ND-ORDER PROJECTION METHOD FOR THE INCOMPRESSIBLE NAVIER STOKES EQUATIONS [J].
BELL, JB ;
COLELLA, P ;
GLAZ, HM .
JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 85 (02) :257-283
[3]  
BERNARDI C, 1999, HDB NUMERICAL ANAL
[4]   Two comments on filtering (artificial viscosity) for Chebyshev and Legendre spectral and spectral element methods: Preserving boundary conditions and interpretation of the filter as a diffusion [J].
Boyd, JP .
JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 143 (01) :283-288
[5]   PERFORMANCE OF UNDER-RESOLVED 2-DIMENSIONAL INCOMPRESSIBLE-FLOW SIMULATIONS [J].
BROWN, DL ;
MINION, ML .
JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 122 (01) :165-183
[6]   BUBBLE STABILIZATION OF SPECTRAL LEGENDRE METHODS FOR THE ADVECTION-DIFFUSION EQUATION [J].
CANUTO, C ;
PUPPO, G .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 118 (3-4) :239-263
[7]   Spectral simulation of supersonic reactive flows [J].
Don, WS ;
Gottlieb, D .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (06) :2370-2384
[8]   An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations [J].
Fischer, PF .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 133 (01) :84-101
[9]   LEGENDRE PSEUDOSPECTRAL VISCOSITY METHOD FOR NONLINEAR CONSERVATION-LAWS [J].
MADAY, Y ;
KABER, SMO ;
TADMOR, E .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (02) :321-342
[10]  
Maday Y., 1989, State of the Art Surveys in Computational Mechanics ASME, P71