谷歌浏览器插件
订阅小程序
在清言上使用

Rotational Shallow Water Equations with viscous damping and boundary control: structure-preserving spatial discretization

Research Square (Research Square)(2023)

引用 0|浏览7
暂无评分
摘要
Abstract This paper is dedicated to structure-preserving spatial discretization of shallow water dynamics. First, a port-Hamiltonian formulation is provided for the two-dimensional rotational shallow water equations with viscous damping. Both tangential and normal boundary port variables are introduced. Then the corresponding weak-form is derived and a partitioned finite element method is applied to obtain a finite-dimensional continuous-time port-Hamiltonian approximation. Four simulation scenarios are investigated to illustrate the approach and show its effectiveness. MSC Classification: 76D55 , 35Q35 , 76M10
更多
查看译文
关键词
viscous damping,spatial discretization,boundary control,shallow water,structure-preserving
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要