色散波传播与爬高的有限体积格式
Finite volume schemes for dispersive wave propagation and runup
AI总结：
本文扩展有限体积方法至Boussinesq型色散水波模型，用于模拟一维双向非线性色散波传播，重点研究孤立波相互作用、色散激波形成以及破碎与非破碎长波爬高等非线性现象。
摘要：
有限体积格式常用于构造守恒律的近似解。在本研究中，我们将有限体积方法的框架扩展到色散水波模型，特别是Boussinesq型系统。我们主要关注该方法在一维空间方向上对双向非线性色散波传播的应用。特别强调了重要的非线性现象，如孤立波相互作用、色散激波形成以及破碎和非破碎长波的爬高。
英文摘要：
Finite volume schemes are commonly used to construct approximate solutions to conservation laws. In this study we extend the framework of the finite volume methods to dispersive water wave models, in particular to Boussinesq type systems. We focus mainly on the application of the method to bidirectional nonlinear, dispersive wave propagation in one space dimension. Special emphasis is given to important nonlinear phenomena such as solitary waves interactions, dispersive shock wave formation and the runup of breaking and non-breaking long waves.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
