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

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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 modified 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 complex flow structures and giving reliable predictions of benchmark turbulent problems.

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Correspondence to Zhen-hua Jiang  (姜振华).

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Project supported by the National Basic Research Program of China (No. 2009CB724104)

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Jiang, Zh., Yan, C. & Yu, J. High-order discontinuous Galerkin solver on hybrid anisotropic meshes for laminar and turbulent simulations. Appl. Math. Mech.-Engl. Ed. 35, 799–812 (2014). https://doi.org/10.1007/s10483-014-1834-9

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  • DOI: https://doi.org/10.1007/s10483-014-1834-9

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Chinese Library Classification

2010 Mathematics Subject Classification

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