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Nonlinear Comparison of High-order and Optimized Finite-difference Schemes

 

作者: R. HIXON,  

 

期刊: International Journal of Computational Fluid Dynamics  (Taylor Available online 2000)
卷期: Volume 13, issue 3  

页码: 259-277

 

ISSN:1061-8562

 

年代: 2000

 

DOI:10.1080/10618560008940902

 

出版商: Taylor & Francis Group

 

关键词: Computational acroacoustics;high-order finite-differences;dispersion relation preserving sehemes;nonlinear wave propagation

 

数据来源: Taylor

 

摘要:

The effect of reducing the formal order of accuracy of a finite-difference scheme in order to optimize its high-wavenumber performance, is investigated using the 1-D nonlinear unsteady inviscid Burgers' equation. Both explicit and compact schemes are compared to schemes wilh various levels of optimization. Results are given for the absolute and L2 errors as a function of time. It is found that the benefits of optimization do carry over into nonlinear applications.

 

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