An efficient low-dissipation hybrid weighted essentially non-oscillatory scheme

JOURNAL OF COMPUTATIONAL PHYSICS

卷:301

Article

Hu, X. Y.¹  Wang, B.²  Adams, N. A.¹ 

[1] Tech Univ Munich, Lehrstuhl Aerodynam & Stromungsmech, D-85748 Garching, Germany

[2] Tsinghua Univ, Sch Aerosp, Beijing 100084, Peoples R China

关键词: Compressible flow;    High-resolution method;    Hybrid method;   

DOI  :  10.1016/j.jcp.2015.08.043

来源: Elsevier

【 摘 要 】

In this paper we propose a simple hybrid WENO scheme that has improved computational efficiency and less numerical dissipation compared to previous approaches. Based on the characteristic-decomposition approach, the scheme switches between numerical fluxes with characteristic-wise WENO reconstruction and with component-wise corresponding optimal linear reconstruction according to a new discontinuity detector. This non-dimensional discontinuity detector measures the local resolution limit of the linear scheme and does not degenerate at critical points. A number of numerical examples of inviscid and viscous flow problems shows that the hybrid scheme achieves small numerical dissipation and good robustness, and generally exhibits a very small amount of WENO calls. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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