Interfacial Wave Motion of Very Large Amplitude: Formulation in Three Dimensions and Numerical Experiments☆

作者: John Grue

DOI: 10.1016/J.PIUTAM.2013.04.017

关键词:

摘要: Abstract Interfacial gravity driven motion of a two-fluid system bounded above and below by rigid lids, is studied. The interfacial three-dimensional, fully nonlinear dispersive. By the method successive approximations, various approximations are derived, where truncated versions computationally fast, still being highly accurate. ac- curacy tested out numerical calculations comparisons to accurate solitary waves in two dimensions wherein reference computations, full nonlinearity dispersive effects kept. show that methods expressed its quadratic cubic provide very representation waves. Error estimates obtained Euclidian norm tend zero when amplitude goes zero. approximation normal velocity along interface has an error less than 0.02 percent on side lower, deep fluid layer 0.24 upper, shallow fluid, respectively, wave equal upper depth. good for large amplitude; even as close conjugate flow limit, which present computations 9.66... times depth (depth ratio 20.4, density 0.986). A downward shift level improves calculation thin layer.

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