随机扩展KdV方程的有限元方法

computational methods in science and technology Pub Date : 2016-04-14 DOI:10.12921/cmst.2016.22.01.002

A. Karczewska, Maciej Szczeciński, P. Rozmej, Bartosz Boguniewicz

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引用次数: 4

摘要

采用有限元法对最近导出的几种底型浅水波浪问题非线性方程进行了数值求解。给出了随机力作用下KdV孤子和余弦波的时间演化结果。虽然源自二阶动力学的小影响可能会被随机力所掩盖，但主波，无论是椭圆和孤立波，对任何扭曲都保持非常强劲。

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Finite Element Method for Stochastic Extended KdV Equations

The finite element method is applied to obtain numerical solutions to the recently derived nonlinear equation for shallow water wave problem for several cases of bottom shapes. Results for time evolution of KdV solitons and cnoidal waves under stochastic forces are presented. Though small effects originating from second order dynamics may be obscured by stochastic forces, the main waves, both cnoidal and solitary ones, remain very robust against any distortions.

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computational methods in science and technology

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