A modified seventh-order WENO scheme with new nonlinear weights for hyperbolic conservation laws

被引：4
作者：
Fardipour, Kaveh [1 ]
Mansour, Kamyar [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Aerosp Engn, 424 Hafez Ave, Tehran, Iran
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 78卷 / 12期
关键词：
WENO scheme; Hyperbolic conservation laws; Smoothness indicators; High-order scheme; Shock capturing schemes; ESSENTIALLY NONOSCILLATORY SCHEMES; HIGH-ORDER; SMOOTHNESS INDICATOR; COUNTERFLOW JET; DRAG REDUCTION; BLUNT-BODY; RECONSTRUCTION; COMBINATION; RESOLUTION; TURBULENCE;
D O I：
10.1016/j.camwa.2019.06.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present a modified seventh-order weighted essentially nonoscillatory scheme for hyperbolic conservation laws. Local smoothness indicators are constructed based upon Lagrange's interpolation polynomial. We constructed a new high-order global smoothness indicator to guarantee the scheme achieves optimal order of accuracy at critical points. We investigated this scheme at critical points and verified its order of convergence with the help of linear scalar test cases. We implemented it to various nonlinear scalar equations and system of Euler equations in one- and two-dimensions to demonstrate the discontinuity capturing and high resolution properties of the modified scheme. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3748 / 3769
页数：22
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