Improvement of Convergence to Steady State Solutions of Euler Equations with Weighted Compact Nonlinear Schemes

• Published in: Acta Mathematicae Applicatae Sinica Vol. 29; no. 3; pp. 449 - 464
• Main Authors: Zhang, Shu-hai, Deng, Xiao-gang, Mao, Mei-liang, Shu, Chi-Wang
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2013
• Subjects: Applications of Mathematics; Math Applications in Computer Science; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Theoretical; WENO格式; 加权; 收敛; 数值试验; 欧拉方程; 稳态解; 紧致; 非线性; weighted compact schemes; nonlinear weights; 65N22; 65N06; convergence to steady state solution

The convergence to steady state solutions of the Euler equations for weighted compact nonlinear schemes （WCNS） [Deng X. and Zhang H. （2000）, J. Comput. Phys. 165, 22–44 and Zhang S., Jiang S. and Shu C.-W. （2008）, J. Comput. Phys. 227, 7294-7321] is studied through numerical tests. Like most other s...