物理
非线性系统
方案(数学)
应用数学
订单(交换)
分辨率(逻辑)
高分辨率
统计物理学
拓扑(电路)
数学分析
量子力学
组合数学
人工智能
遥感
数学
财务
计算机科学
经济
地质学
作者
Tianchu Hao,Yaming Chen,Shenghao Wang,Lingyan Tang,Songhe Song
摘要
In a recent work [J. Comput. Phys. 477 (2023) 111877], an efficient multi-resolution weighted compact nonlinear scheme (WCNS) is proposed for solving compressible flows. This paper mainly focuses on improving the nonlinear interpolation scheme therein in terms of shock-capturing capability. Additionally, to address the issue of the effect of the small parameter employed to avoid division by zero, the nonlinear weights are designed to be of the exponential-type, as proposed in a recent study [J. Comput. Phys. 478 (2023) 111978], such that the order of the scheme is irrelevant to the order of the critical points. To simplify the computation of smoothness indicators, we also propose to only use the ones for traditional Jiang-Shu-type nonlinear weights. Numerical examples are conducted to show the improvement of the proposed scheme in terms of shock-capturing capability.
科研通智能强力驱动
Strongly Powered by AbleSci AI