点击次数：

论文类型：期刊论文

发表时间：2018-01-15

发表刊物：COMPUTERS & FLUIDS

收录刊物：SCIE、EI

卷号：161

页面范围：171-188

ISSN号：0045-7930

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

摘要：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.