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A third-order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time-accurate solution of the compressible Navier-Stokes equations.
- Source :
- International Journal for Numerical Methods in Fluids; Nov2015, Vol. 79 Issue 8, p416-435, 20p
- Publication Year :
- 2015
-
Abstract
- A space and time third-order discontinuous Galerkin method based on a Hermite weighted essentially non-oscillatory reconstruction is presented for the unsteady compressible Euler and Navier-Stokes equations. At each time step, a lower-upper symmetric Gauss-Seidel preconditioned generalized minimal residual solver is used to solve the systems of linear equations arising from an explicit first stage, single diagonal coefficient, diagonally implicit Runge-Kutta time integration scheme. The performance of the developed method is assessed through a variety of unsteady flow problems. Numerical results indicate that this method is able to deliver the designed third-order accuracy of convergence in both space and time, while requiring remarkably less storage than the standard third-order discontinous Galerkin methods, and less computing time than the lower-order discontinous Galerkin methods to achieve the same level of temporal accuracy for computing unsteady flow problems. Copyright © 2015 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
- Subjects :
- GALERKIN methods
EULER equations
NAVIER-Stokes equations
Subjects
Details
- Language :
- English
- ISSN :
- 02712091
- Volume :
- 79
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- International Journal for Numerical Methods in Fluids
- Publication Type :
- Academic Journal
- Accession number :
- 110204107
- Full Text :
- https://doi.org/10.1002/fld.4057