Variational generalization of the Green-Naghdi and Whitham equations for fluid sloshing in three-dimensional rotating and translating coordinates
type: Item
instance of: scholarly article
title: Variational generalization of the Green-Naghdi and Whitham equations for fluid sloshing in three-dimensional rotating and translating coordinates
zbMATH Open document ID: 1493.76012
author: H. Ardakani
published in: European Journal of Mechanics. B. Fluids
publication date: 2021-12-01T00:00:00Z
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 70E99
Mathematics Subject Classification ID: 70H30
zbMATH DE Number: 7436724
zbMATH Keywords: averaged Lagrangian functional
zbMATH Keywords: interior shallow-water sloshing
zbMATH Keywords: freely floating rigid body
zbMATH Keywords: Hamilton principle
zbMATH Keywords: Euler-Poincaré variational method
zbMATH Keywords: Luke variational principle
MaRDI profile type: Publication
full work available at URL: j.euromechflu.2021.04.004
OpenAlex ID: W3154046804
cites work: Q3230017
cites work: Variation Principles of Hydrodynamics
cites work: A variational principle for a fluid with a free surface
cites work: A note on Hamilton's principle for perfect fluids
cites work: On the hamiltonian theory of surface waves
cites work: On Hamilton's principle for surface waves
cites work: Hamiltonian structure, symmetries and conservation laws for water waves
cites work: A nonlinear Hamiltonian structure for the Euler equations
cites work: Practical use of Hamilton's principle
cites work: Variational asymptotics for rotating shallow water near geostrophy: a transformational approach
cites work: Multilayer shallow water equations with complete Coriolis force. Part 1. Derivation on a non-traditional beta-plane
cites work: Variations on a beta-plane: derivation of non-traditional beta-plane equations from Hamilton's principle on a sphere
cites work: Discrete mechanics and variational integrators
cites work: Structure-preserving discretization of incompressible fluids
cites work: Variational discretization for rotating stratified fluids
cites work: Variational space-time (dis)continuous Galerkin method for nonlinear free surface water waves
cites work: An energy and potential enstrophy conserving numerical scheme for the multi-layer shallow water equations with complete Coriolis force
cites work: The Hamiltonian structure for dynamic free boundary problems
cites work: Hamiltonian spatial structure for three-dimensional water waves in a moving frame of reference
cites work: Hamiltonian description of the ideal fluid
cites work: Shallow water equations with a complete Coriolis force and topography
cites work: Parcel Eulerian–Lagrangian fluid dynamics of rotating geophysical flows
cites work: Hamilton's Principle and the Conservation Theorems of Mathematical Physics
cites work: Q5557046
cites work: Nonlinear dynamics. Mathematical models for rigid bodies with a liquid
cites work: A variational principle for three-dimensional interactions between water waves and a floating rigid body with interior fluid motion
cites work: An alternative view on the Bateman-Luke variational principle
cites work: A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion
cites work: Q3393086
cites work: The Euler-Poincaré equations and semidirect products with applications to continuum theories
cites work: Shallow-water sloshing in vessels undergoing prescribed rigid-body motion in three dimensions
cites work: Q4249020
cites work: Q3335214
cites work: Weakly dispersive nonlinear gravity waves
cites work: A derivation of equations for wave propagation in water of variable depth
cites work: Q5602703
cites work: Q3953228
cites work: A kinematic conservation law in free surface flow
cites work: Variational methods and applications to water waves
cites work: Q4220327
cites work: Differentiation Under the Integral Sign
cites work: On integral functionals with a variable domain of integration
cites work: On the Interactions of Permanent Waves of Finite Amplitude
DOI: 10.1016/J.EUROMECHFLU.2021.04.004
Recommended article: The Bateman-Luke variational formalism in a sloshing with rotational flows
Recommended article: A note on the variational formalism for sloshing with rotational flows in a rigid tank with unprescribed motion
Recommended article: A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion
Recommended article: Q5507296
Recommended article: A Variational Characterization of Fluid Sloshing with Surface Tension
Recommended article: On the regularity of the Green–Naghdi equations for a rotating shallow fluid layer
Recommended article: Variational Derivation of the Green–Naghdi Shallow-Water Equations
Recommended article: The Navier-Stokes-Voigt equations with position-dependent slip boundary conditions
Recommended article: Variational principles and generalized variational principles in hydrodynamics of viscous fluids
description: scientific article; zbMATH DE number 7436724