Discontinuous Galerkin solution of the RANS and kL−k−log(ω) equations for natural and bypass transition

2021 ◽  
Vol 214 ◽  
pp. 104767
Author(s):  
M. Lorini ◽  
F. Bassi ◽  
A. Colombo ◽  
A. Ghidoni ◽  
G. Noventa
Keyword(s):  
Discontinuous Galerkin ◽  
Bypass Transition ◽  
Galerkin Solution

scholarly journals Hierarchic multigrid iteration strategy for the discontinuous Galerkin solution of the steady Euler equations

2006 ◽  
Vol 51 (9-10) ◽  
pp. 1157-1176 ◽  
Author(s):  
Koen Hillewaert ◽  
Nicolas Chevaugeon ◽  
Philippe Geuzaine ◽  
Jean-François Remacle
Keyword(s):  
Euler Equations ◽  
Discontinuous Galerkin ◽  
Galerkin Solution

HIGH-ORDER DISCONTINUOUS GALERKIN SOLUTION OF LOW-RE VISCOUS FLOWS

2009 ◽  
Vol 23 (03) ◽  
pp. 309-312
Author(s):  
HONGQIANG LU
Keyword(s):  
Discontinuous Galerkin ◽  
Euler Method ◽  
High Order ◽  
Navier Stokes ◽  
High Order Schemes ◽  
Seidel Method ◽  
Backward Euler ◽  
Dg Method ◽  
Galerkin Solution ◽  
Nonlinear Discrete System

In this paper, the BR2 high-order Discontinuous Galerkin (DG) method is used to discretize the 2D Navier-Stokes (N-S) equations. The nonlinear discrete system is solved using a Newton method. Both preconditioned GMRES methods and block Gauss-Seidel method can be used to solve the resulting sparse linear system at each nonlinear step in low-order cases. In order to save memory and accelerate the convergence in high-order cases, a linear p-multigrid is developed based on the Taylor basis instead of the GMRES method and the block Gauss-Seidel method. Numerical results indicate that highly accurate solutions can be obtained on very coarse grids when using high order schemes and the linear p-multigrid works well when the implicit backward Euler method is employed to improve the robustness.

scholarly journals Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows

2020 ◽  
Vol 372 ◽  
pp. 113397 ◽  
Author(s):  
Ruben Sevilla ◽  
Luca Borchini ◽  
Matteo Giacomini ◽  
Antonio Huerta
Keyword(s):  
Discontinuous Galerkin ◽  
Stokes Flows ◽  
Galerkin Solution
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