Problem of the decay of a small-amplitude discontinuity in two-layer shallow water: First approximation
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- 作者：P. E. Karabut (1) karabutp@mail.ru
V. V. Ostapenko (1) ostapenkovv@ngs.ru - 关键词：two ; layer shallow water – ; discontinuity decay problem – ; dam ; break problem – ; hyperbolic systems – ; method of successive approximations
- 刊名：Journal of Applied Mechanics and Technical Physics
- 出版时间：September 2011
- 出版年：2011
- 期刊代码：13_00218944
- 类别：law
- 卷：52
- 期：5
- 页码：698-708
- 数据来源：sp
摘要
A method is proposed for the approximate solution of the problem of the decay of a small-amplitude discontinuity in the case of a strictly hyperbolic system of conservation laws which has linearly degenerate characteristic fields. The method is used to analyze the qualitatively different flow regimes occurring in the solution of the problem of the decay of a small-amplitude discontinuity for two-layer shallow water model with a free upper boundary. The most detailed study is made for the special case — the dam-break problem.