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Indexed by:期刊论文

Date of Publication:2018-01-15

Journal:COMPUTERS & FLUIDS

Included Journals:SCIE、EI

Volume:161

Page Number:171-188

ISSN No.:0045-7930

Key Words:Multi-dimensional limiting process; Unstructured grid; Shock stability; Numerical dissipation; Strict/weak-MLP

Abstract:The basic concept of multi-dimensional limiting process (MLP) on unstructured grids is inherited and modified in this work for improving shock stability and reducing numerical dissipation in smooth flows. A relaxed version of MLP condition, simply named as weak-MLP, is proposed for reducing dissipation. Moreover, a stricter condition, that is the strict-MLP condition, is proposed to enhance the numerical stability. The maximum and minimum principles are satisfied by both the strict- and weak-MLP conditions. A differentiable pressure weight function is applied to combine two novel conditions, and thus the modified limiter is named as MLP-pw (pressure-weighted) limiter. A series of numerical test cases show that MLP-pw limiter has improved stability and convergence, especially in hypersonic simulations. Moreover, the limiter also shows low numerical dissipation in simulating flow fields without shock-waves. (C) 2017 Elsevier Ltd. All rights reserved.