文章基本信息

标题：Dissipative Shallow Water Equations: a port-Hamiltonian formulation ⁎
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作者：Flávio Luiz Cardoso-Ribeiro ; Denis Matignon ; Laurent Lefèvre 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：19
页码：167-172
DOI：10.1016/j.ifacol.2021.11.073
语种：English
出版社：Elsevier
摘要：AbstractThe dissipative Shallow Water Equations (DSWEs) are investigated as port-Hamiltonian systems. Dissipation models of different types are considered: either as nonlinear bounded operators, or as linear unbounded operators involving a classical diffusion term in 1D, or the vectorial Laplacian in 2D. In order to recast the dissipative SWE into the framework of pHs with dissipation, a physically meaningful factorization of the vectorial Laplacian is being used, which nicely separates the divergent and the rotational components of the velocity field. Finally, the structure-preserving numerical scheme provided by the Partitioned Finite Element Method (PFEM) is applied to the nonlinear bounded dissipative fluid models. For the linear unbounded cases, a change of variables is highlighted, to transform the DSWEs into a new pHs with a polynomial structure, which proves more suitable for numerics.
关键词：KeywordsShallow Water Equations (SWE)Port-Hamiltonian systems (pHs)Dissipative PDEsPartitioned Finite Element Method (PFEM)