Further Development of a Riemann-solver Free Space-time Discontinuous Galerkin Method for Compressible Magnetohydrodynamics (MHD) Equations

2015 ◽  
Author(s):  
Hongchao Song ◽  
Lucheng Ji ◽  
Qign Pang ◽  
Shuangzhang Tu
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Free Space ◽  
Space Time ◽  
Mhd Equations ◽  
Riemann Solver ◽  
Further Development

scholarly journals A splitting mixed space-time discontinuous Galerkin method for parabolic problems

2012 ◽  
Vol 31 ◽  
pp. 1050-1059 ◽  
Author(s):  
Siriguleng He ◽  
Hong Li ◽  
Yang Liu ◽  
Zhichao Fang ◽  
Jingbo Yang ◽  
...  
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Space Time ◽  
Parabolic Problems

scholarly journals Space-time discontinuous Galerkin method for the numerical simulation of the compressible turbulent gas flow through the porous media

2019 ◽  
Vol 213 ◽  
pp. 02011
Author(s):  
Jan Česenek
Keyword(s):  
Numerical Simulation ◽  
Porous Media ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Gas Flow ◽  
Space Time ◽  
Navier Stokes ◽  
Flow Through ◽  
Turbulent Gas Flow

The article is concerned with the numerical simulation of the compressible turbulent gas flow through the porous media using space-time discontinuous Galerkin method.The mathematical model of flow is represented by the system of non-stationary Reynolds-Averaged Navier-Stokes (RANS) equations. The flow through the porous media is characterized by the loss of momentum. This RANS system is equipped with two-equation k-omega turbulence model. The discretization of these two systems is carried out separately by the space-time discontinuous Galerkin method. This method is based on the piecewise polynomial discontinuous approximation of the sought solution in space and in time. We present some numerical experiments to demonstrate the applicability of the method using own-developed code.

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