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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