考虑缓倾斜海滩反射的长水波分析方法

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.07.003

D.A. Lozhnikov, V.E. Nazaikinskii

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引用次数: 1

摘要

描述了算法及其软件实现，允许计算长波(例如，海啸波)的前传播，描述在线性化浅水方程的近似中，考虑到浅海滩的反射。这些算法是基于柯西问题的渐近解的构造，该问题是关于边界上具有退化的双曲型方程的。给出了数值实验结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Method for the analysis of long water waves taking into account reflection from a gently sloping beach

Algorithms and their software implementation are described that allow calculating the front propagation for a long wave (for example, a tsunami wave) described in the approximation of the linearized shallow water equations with reflection from a shallow beach taken into account. The algorithms are based on a construction of asymptotic solutions of the Cauchy problem for hyperbolic equations with degeneracy on the boundary earlier proposed with the participation of one of the authors. The results of a numerical experiment are presented.

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.