Fractional-step method for spectral action balance equation
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Author list: Brikshavana T., Luadsong A.
Publisher: Pushpa
Publication year: 2010
Journal: Far East Journal of Mathematical Sciences (0972-0871)
Volume number: 37
Issue number: 2
Start page: 193
End page: 207
Number of pages: 15
ISSN: 0972-0871
Languages: English-Great Britain (EN-GB)
Abstract
Spectral action balance equation is an equation that used to simulate short-crested wind-generated waves in shallow water areas such as coastal regions and inland waters. This equation consists of two spatial dimensions, wave direction and wave frequency. In this paper, we introduce the splitting scheme and proved that it is consistent to the central spaces scheme with same accuracy. This numerical scheme was adopted to split the wave spectral action balance equation into four one-dimensional problems, which for each small problem obtains the independently tridiagonal linear systems. Therefore, we can solve these systems by direct or iterative methods at the same time which is very fast when performed by a multi-core computer. The numerical results of these two methods are very close as shown in the numerical experiments. ฉ 2010 Pushpa Publishing House.
Keywords
Fractional step method, Spectral action balance equation
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