Optimization of a global seventh-order dissipative compact finite-difference scheme by a genetic algorithm  

作　　者：Yu LIN Yaming CHEN Chuanfu XU Xiaogang DENG 

机构地区：[1]College of Computer, National University of Defense Technology [2]College of Aerospace Science and Engineering, National University of Defense Technology [3]State Key Laboratory of High Performance Computing, National University of Defense Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2018年第11期1679-1690,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11601517,11502296,61772542,and 61561146395);the Basic Research Foundation of National University of Defense Technology(No.ZDYYJ-CYJ20140101)

摘　　要：A global seventh-order dissipative compact finite-difference scheme is optimized in terms of time stability. The dissipative parameters appearing in the boundary closures are assumed to be different, resulting in an optimization problem with several parameters determined by applying a generic algorithm. The optimized schemes are analyzed carefully from the aspects of the eigenvalue distribution, the ε-pseudospectra, the short time behavior, and the Fourier analysis. Numerical experiments for the Euler equations are used to show the effectiveness of the final recommended scheme.A global seventh-order dissipative compact finite-difference scheme is optimized in terms of time stability. The dissipative parameters appearing in the boundary closures are assumed to be different, resulting in an optimization problem with several parameters determined by applying a generic algorithm. The optimized schemes are analyzed carefully from the aspects of the eigenvalue distribution, the ε-pseudospectra, the short time behavior, and the Fourier analysis. Numerical experiments for the Euler equations are used to show the effectiveness of the final recommended scheme.

关 键 词：HIGH-ORDER dissipative compact finite-difference scheme genetic algorithm time stable 

分 类 号：O241[理学—计算数学]