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Tan Ren, Chao Wang, Haining Dong, Danjie Zhou. Central Discontinuous Galerkin Method for the Navier-Stokes Equations[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2017, 26(2): 158-164. doi: 10.15918/j.jbit1004-0579.201726.0203
Citation: Tan Ren, Chao Wang, Haining Dong, Danjie Zhou. Central Discontinuous Galerkin Method for the Navier-Stokes Equations[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2017, 26(2): 158-164.doi:10.15918/j.jbit1004-0579.201726.0203
shu

Central Discontinuous Galerkin Method for the Navier-Stokes Equations

doi:10.15918/j.jbit1004-0579.201726.0203

  • Beijing Electro-Mechanical Engineering Institute, Beijing 100074, China

  • Received Date:2016-06-11
    Abstract
  • Central discontinuous Galerkin (CDG) method is used to solve the Navier-Stokes equations for viscous flow in this paper. The CDG method involves two pieces of approximate solutions defined on overlapping meshes. Taking advantages of the redundant representation of the solution on the overlapping meshes, the cell interface of one computational mesh is right inside the staggered mesh, hence approximate Riemann solvers are not needed at cell interfaces. Third order total variation diminishing (TVD) Runge-Kutta (RK) methods are applied in time discretization. Numerical examples for 1D and 2D viscous flow simulations are presented to validate the accuracy and robustness of the CDG method.
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