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

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 algori...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2018-11, Vol.39 (11), p.1679-1690
Main Authors: Lin, Yu, Chen, Yaming, Xu, Chuanfu, Deng, Xiaogang
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Closures
Eigenvalues
Euler-Lagrange equation
Finite difference method
Fluid- and Aerodynamics
Fourier analysis
Genetic algorithms
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Optimization
Parameters
Partial Differential Equations
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Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-018-2382-6