Variational generalization of the Green-Naghdi and Whitham equations for fluid sloshing in three-dimensional rotating and translating coordinates
DOI10.1016/j.euromechflu.2021.04.004zbMath1493.76012OpenAlexW3154046804MaRDI QIDQ2055449
Publication date: 1 December 2021
Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechflu.2021.04.004
Hamilton principleaveraged Lagrangian functionalEuler-Poincaré variational methodfreely floating rigid bodyinterior shallow-water sloshingLuke variational principle
Variational methods applied to problems in fluid mechanics (76M30) Other variational principles in mechanics (70H30) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Dynamics of a rigid body and of multibody systems (70E99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational space-time (dis)continuous Galerkin method for nonlinear free surface water waves
- Variational discretization for rotating stratified fluids
- Structure-preserving discretization of incompressible fluids
- A nonlinear Hamiltonian structure for the Euler equations
- The Hamiltonian structure for dynamic free boundary problems
- On integral functionals with a variable domain of integration
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Hamiltonian spatial structure for three-dimensional water waves in a moving frame of reference
- An alternative view on the Bateman-Luke variational principle
- An energy and potential enstrophy conserving numerical scheme for the multi-layer shallow water equations with complete Coriolis force
- Variations on a beta-plane: derivation of non-traditional beta-plane equations from Hamilton's principle on a sphere
- Hamiltonian description of the ideal fluid
- Shallow-water sloshing in vessels undergoing prescribed rigid-body motion in three dimensions
- Variation Principles of Hydrodynamics
- Discrete mechanics and variational integrators
- Parcel Eulerian–Lagrangian fluid dynamics of rotating geophysical flows
- Shallow water equations with a complete Coriolis force and topography
- Multilayer shallow water equations with complete Coriolis force. Part 1. Derivation on a non-traditional beta-plane
- Practical use of Hamilton's principle
- Weakly dispersive nonlinear gravity waves
- On the hamiltonian theory of surface waves
- A derivation of equations for wave propagation in water of variable depth
- On Hamilton's principle for surface waves
- A variational principle for three-dimensional interactions between water waves and a floating rigid body with interior fluid motion
- Hamiltonian structure, symmetries and conservation laws for water waves
- A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion
- A kinematic conservation law in free surface flow
- Variational asymptotics for rotating shallow water near geostrophy: a transformational approach
- On the Interactions of Permanent Waves of Finite Amplitude
- A variational principle for a fluid with a free surface
- Variational methods and applications to water waves
- A note on Hamilton's principle for perfect fluids
- Differentiation Under the Integral Sign
- Hamilton's Principle and the Conservation Theorems of Mathematical Physics
- Nonlinear dynamics. Mathematical models for rigid bodies with a liquid
This page was built for publication: Variational generalization of the Green-Naghdi and Whitham equations for fluid sloshing in three-dimensional rotating and translating coordinates
