Tensor-Product Preconditioners for a Space-Time Discontinuous Galerkin Method

被引:0
|
作者
Diosady, Laslo T. [1 ]
Murman, Scott M. [1 ]
机构
[1] NASA, Ames Res Ctr, Moffett Field, CA 94035 USA
关键词
Discontinuous Galerkin Methods; Space-Time Formulations; Spectral Element Methods; NAVIER-STOKES EQUATIONS;
D O I
10.1063/1.4897889
中图分类号
O59 [应用物理学];
学科分类号
摘要
A space-time discontinuous Galerkin spectral element discretization is presented for direct numerical simulation of the compressible Navier-Stokes equations. An efficient solution technique based on a matrix-free Newton-Krylov method is presented. A diagonalized alternating direction implicit preconditioner is extended to a space-time formulation using entropy variables. The effectiveness of this technique is demonstrated for the direct numerical simulation of turbulent flow in a channel.
引用
收藏
页码:946 / 949
页数:4
相关论文
共 50 条
  • [41] PRECONDITIONERS FOR THE DISCONTINUOUS GALERKIN TIME-STEPPING METHOD OF ARBITRARY ORDER
    Basting, Steffen
    Bansch, Eberhard
    [J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 51 (04): : 1173 - 1195
  • [42] Robust and efficient preconditioners for the discontinuous Galerkin time-stepping method
    Smears, Iain
    [J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 37 (04) : 1961 - 1985
  • [43] Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems
    Feistauer, Miloslav
    Kucera, Vaclav
    Najzar, Karel
    Prokopova, Jaroslava
    [J]. NUMERISCHE MATHEMATIK, 2011, 117 (02) : 251 - 288
  • [44] A TREFFTZ POLYNOMIAL SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR THE SECOND ORDER WAVE EQUATION
    Banjai, Lehel
    Georgoulis, Emmanuil H.
    Lijoka, Oluwaseun
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 55 (01) : 63 - 86
  • [45] Finite volume - space-time discontinuous Galerkin method for the solution of compressible turbulent flow
    Cesenek, Jan
    [J]. EFM15 - EXPERIMENTAL FLUID MECHANICS 2015, 2016, 114
  • [46] A Space-Time Hybridizable Discontinuous Galerkin Method for Linear Free-Surface Waves
    Sosa Jones, Giselle
    Lee, Jeonghun J.
    Rhebergen, Sander
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2020, 85 (03)
  • [47] Error Estimates and Adaptivity of the Space-Time Discontinuous Galerkin Method for Solving the Richards Equation
    Dolejsi, Vit
    Shin, Hyun-Geun
    Vlasak, Miloslav
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2024, 101 (01)
  • [48] A SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR LINEAR HYPERBOLIC PDE'S WITH HIGH FREQUENCIES
    Toprakseven, Suayip
    [J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2020, 69 (01): : 213 - 231
  • [49] A space-time discontinuous Galerkin method for linear convection-dominated Sobolev equations
    Sun, Tongjun
    Ma, Keying
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (02) : 490 - 503
  • [50] Space-time discontinuous Galerkin finite element method for two-fluid flows
    Sollie, W. E. H.
    Bokhove, O.
    van der Vegt, J. J. W.
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (03) : 789 - 817