High-order discontinuous Galerkin solver on hybrid anisotropic meshes for laminar and turbulent simulations

doi:10.1007/s10483-014-1834-9

Abstract

Abstract: Efficient and robust solution strategies are developed for discontinuous Galerkin (DG) discretization of the Navier-Stokes (NS) and Reynolds-averaged NS (RANS) equations on structured/unstructured hybrid meshes. A novel line-implicit scheme is devised and implemented to reduce the memory gain and improve the computational efficiency for highly anisotropic meshes. A simple and effective technique to use the mod- ified Baldwin-Lomax (BL) model on the unstructured meshes for the DG methods is proposed. The compact Hermite weighted essentially non-oscillatory (HWENO) limiters are also investigated for the hybrid meshes to treat solution discontinuities. A variety of compressible viscous flows are performed to examine the capability of the present high- order DG solver. Numerical results indicate that the designed line-implicit algorithms exhibit weak dependence on the cell aspect-ratio as well as the discretization order. The accuracy and robustness of the proposed approaches are demonstrated by capturing com- plex flow structures and giving reliable predictions of benchmark turbulent problems.

Key words: structured/unstructured hybrid mesh, discontinuous Galerkin (DG) method, implicit method, Baldwin-Lomax (BL) model, high order accuracy

2010 MSC Number:

O357.3

Zhen-hua JIANG;Chao YAN;Jian YU. High-order discontinuous Galerkin solver on hybrid anisotropic meshes for laminar and turbulent simulations. Applied Mathematics and Mechanics (English Edition), 2014, 35(7): 799-812.

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