Discontinuous Galerkin (DG) methods are very well suited for the construction of very high-order approximations of the Euler and Navier-Stokes equations on unstructured and possibly non conforming grids, but are rather demanding in terms of computational resources. In order to improve the computational efficiency of this class of methods, a high-order DG approximation of the Navier-Stokes equations coupled with a p-multigrid solution strategy is here considered. In particular a line smoother will be used to alleviate the effect of stretched grids on the convergence rate. The effectiveness of the proposed approach in the solution of compressible shockless flow problems is demonstrated for 3D laminar and turbulent test cases.
High-order accurate p-multigrid Discontinuous Galerkin solution for complex industrial applications
GHIDONI, Antonio;REBAY, Stefano;
2012-01-01
Abstract
Discontinuous Galerkin (DG) methods are very well suited for the construction of very high-order approximations of the Euler and Navier-Stokes equations on unstructured and possibly non conforming grids, but are rather demanding in terms of computational resources. In order to improve the computational efficiency of this class of methods, a high-order DG approximation of the Navier-Stokes equations coupled with a p-multigrid solution strategy is here considered. In particular a line smoother will be used to alleviate the effect of stretched grids on the convergence rate. The effectiveness of the proposed approach in the solution of compressible shockless flow problems is demonstrated for 3D laminar and turbulent test cases.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
