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
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
收藏
页码:59 / 65
页数:7
相关论文
共 50 条
  • [31] PROGRESS IN SYMMETRICAL FORMULATION OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
    HARBORD, R
    GELLERT, M
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 83 (03) : 201 - 209
  • [32] New formulation of the Navier-Stokes equations for liquid flows
    Giona, Massimiliano
    Procopio, Giuseppe
    Adrover, Alessandra
    Mauri, Roberto
    JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 2023, 48 (02) : 207 - 228
  • [33] Variational formulation of the Germano identity for the Navier-Stokes equations
    Oberai, AA
    Wanderer, J
    JOURNAL OF TURBULENCE, 2005, 6 (07):
  • [34] On a potential-velocity formulation of Navier-Stokes equations
    Marner, F.
    Gaskell, P. H.
    Scholle, M.
    PHYSICAL MESOMECHANICS, 2014, 17 (04) : 341 - 348
  • [35] On a potential-velocity formulation of Navier-Stokes equations
    F. Marner
    P. H. Gaskell
    M. Scholle
    Physical Mesomechanics, 2014, 17 : 341 - 348
  • [36] A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on three-dimensional hybrid grids
    Liu, Xiaodong
    Xuan, Lijun
    Xia, Yidong
    Luo, Hong
    COMPUTERS & FLUIDS, 2017, 152 : 217 - 230
  • [37] ADAPTIVE METHODS ON UNSTRUCTURED GRIDS FOR EULER AND NAVIER-STOKES EQUATIONS
    VILSMEIER, R
    HANEL, D
    COMPUTERS & FLUIDS, 1993, 22 (4-5) : 485 - 499
  • [38] Multirate timestepping for the incompressible Navier-Stokes equations in overlapping grids
    Mittal, Ketan
    Dutta, Som
    Fischer, Paul
    JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 437
  • [39] Stretched Cartesian grids for solution of the incompressible Navier-Stokes equations
    Avital, EJ
    Sandham, ND
    Luo, KH
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2000, 33 (06) : 897 - 918
  • [40] MULTIGRID SOLUTION OF THE NAVIER-STOKES EQUATIONS ON HIGHLY STRETCHED GRIDS
    SOCKOL, PM
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1993, 17 (07) : 543 - 566