A spectral element method for the time-dependent two-dimensional Euler equations: applications to flow simulations

被引：12
作者：
Xu, CJ
Maday, Y
机构：
[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris, France
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 91卷 / 01期
关键词：
Euler equations; Navier-Stokes equations; domain decomposition; spectral element methods;
D O I：
10.1016/S0377-0427(98)00022-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical spectral element method for the computation of fluid flows governed by the incompressible Euler equations in a complex geometry is presented. The appropriate elemental interface conditions for the velocity and the pressure are found by using variational formulation. It is proven that spectral approximations of same degrees for the velocity and the pressure, called P-N x P-N version, conduct to well-posed discrete problems, which is not true in general in the case of the Navier-Stokes equations. Applications to fluid flow simulation using the Navier-Stokes/Euler coupled model are presented. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：63 / 85
页数：23
相关论文
共 17 条
  • [1] ANAGNOSTOU G, 1990, THIRD INTERNATIONAL SYMPOSIUM ON DOMAIN DECOMPOSITION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, P157
  • [2] ANAGNOSTOU G, 1991, THESIS MIT CAMBRIDGE
  • [3] BERNARDI C, 1992, COLLECTION MATH APPL, V10
  • [4] A SELF-ADAPTIVE FORMULATION FOR THE EULER-NAVIER-STOKES COUPLING
    BREZZI, F
    CANUTO, C
    RUSSO, A
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1989, 73 (03) : 317 - 330
  • [5] CANUTO C., 1987, Spectral Methods in Fluid Dynamics
  • [6] Ciarlet P. G., 1972, MATH FDN FINITE ELEM, P409
  • [7] DEBIT N, 1992, THESIS U P M CURIE P
  • [8] GASTALDI F, 1989, COMPUTERS EXPT FLUID, P65
  • [9] GIRAULT V, 1987, FINITE ELEMENT APPRO
  • [10] MINIMUM-DISSIPATION TRANSPORT ENHANCEMENT BY FLOW DESTABILIZATION - REYNOLDS ANALOGY REVISITED
    KARNIADAKIS, GE
    MIKIC, BB
    PATERA, AT
    [J]. JOURNAL OF FLUID MECHANICS, 1988, 192 : 365 - 391
12