Constrained Hamilton variational principle for shallow water problems and Zu-class symplectic algorithm

DOI10.1007/S10483-016-2051-9zbMath1332.76009OpenAlexW2274042983MaRDI QIDQ259319

Feng Wu, Wan-xie Zhong

Publication date: 11 March 2016

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-016-2051-9

zbMATH Keywords

constrained Hamilton variational principleshallow water equation (SWE)Zu-class method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10) Hamilton's principle (70H25)

Related Items (4)

An adaptive artificial viscosity for the displacement shallow water wave equation ⋮ Constructing time integration with controllable errors for constrained mechanical systems ⋮ A nonsmooth modified symplectic integration scheme for frictional contact dynamics of rigid-flexible multibody systems ⋮ On displacement shallow water wave equation and symplectic solution

Cites Work

• The sudden starting of a floating body in deep water
• Problem of hydrodynamic pressure on suddenly starting vessel
• Symplectic Geometric Algorithms for Hamiltonian Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Constrained Hamilton variational principle for shallow water problems and Zu-class symplectic algorithm