ON DISCONTINUOUS SOLUTIONS OF HYPERBOLIC-EQUATIONS

被引：6
|
作者：
ECKHOFF, KS
机构：
[1] Department of Mathematics, University of Bergen, N-5007 Bergen
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1994年 / 116卷 / 1-4期
关键词：
D O I：
10.1016/S0045-7825(94)80013-8
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A modified Fourier method which is applicable to numerical simulations of discontinuous solutions of hyperbolic equations is presented. Truncated Fourier series representations are de-truncated at every timestep by utilising step-functions in the reconstruction of the discontinuous solutions. The de-truncated expansions are used to eliminate the numerical dispersion and diffusion which normally ruin the discontinuous solutions in a few timesteps when traditional Fourier methods are applied.
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页码：103 / 112
页数：10
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