A Discontinuous Spectral Element Model for Boussinesq-Type Equations

被引：12
|
作者：
Eskilsson, C. [1 ]
Sherwin, S. J. [2 ]
机构：
[1] Chalmers, SE-41296 Gothenburg, Sweden
[2] Univ London Imperial Coll Sci Technol & Med, Dept Aeronaut, London SW7 2BY, England
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2002年 / 17卷 / 1-4期
关键词：
Discontinuous spectral element method; Boussinesq-type equations;
D O I：
10.1023/A:1015144429543
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a discontinuous spectral element model for simulating 1D nonlinear dispersive water waves, described by a set of enhanced Boussinesq-type equations. The advective fluxes are calculated using an approximate Riemann solver while the dispersive fluxes are obtained by centred numerical fluxes. Numerical computation of solitary wave propagation is used to prove the exponential convergence.
引用
收藏
页码：143 / 152
页数：10
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