Variational Formulation of Fluid and Geophysical Fluid Dynamics: Mechanics, Symmetries and Conservation Laws

  title={Variational Formulation of Fluid and Geophysical Fluid Dynamics: Mechanics, Symmetries and Conservation Laws},
  author={Gualtiero Badin and Fulvio Crisciani},
  journal={Variational Formulation of Fluid and Geophysical Fluid Dynamics},
  • G. BadinF. Crisciani
  • Published 6 September 2017
  • Geology
  • Variational Formulation of Fluid and Geophysical Fluid Dynamics

Hamiltonian Variational Formulation of Three-Dimensional, Rotational Free-Surface Flows, with a Moving Seabed, in the Eulerian Description

Hamiltonian variational principles have provided, since the 1960s, the means of developing very successful wave theories for nonlinear free-surface flows, under the assumption of irrotationality.

Extended gravitoelectromagnetism. I. Variational formulation

This work presents a novel approach to well established concepts of gravity, formulating a new and consistent gravitoelectromagnetic theory. The long standing gravitoelectromagnetic field theory is

Natural modes of the two-fluid model of two-phase flow

A physically based method to derive well-posed instances of the two-fluid momentum transport equations from first principles is presented. The basic tools used in this endeavor are the variational

Analysis of the influence of tool radius on mechanical state of monocrystalline silicon during nano-cutting

Abstract Molecular dynamics (MD) was used to build a simulation model for skiving single crystal silicon (SCS) with different tool radius. Through the analysis of phase change, instantaneous atomic

General Canonical Variational Principle and Noether Theorem, Their New Classical and Quantum Physics, Solution to Crisis Deducing All Physics Laws in Phase Space

This paper discovers that current canonical variational principle and canonical Noether theorem of (in)finite freedom systems for different physics systems have neglected doublet extreme value

Spatial Covariance Modeling for Stochastic Subgrid‐Scale Parameterizations Using Dynamic Mode Decomposition

This paper presents a meta-modelling procedure that automates the very labor-intensive and therefore time-heavy and therefore expensive and expensive process of modeling subgrid scale processes through stochastic parameterizations.

Variational formulation of plasma dynamics

Hamilton's principle is applied to obtain the equations of motion for fully relativistic collision-free plasma. The variational treatment is presented in both the Eulerian and Lagrangian frameworks.

Statistical Measures and Selective Decay Principle for Generalized Euler Dynamics: Formulation and Application to the Formation of Strong Fronts

In this work we investigate the statistical mechanics of a family of two dimensional (2D) fluid flows, described by the generalized Euler equations, or $$\alpha $$ α -models. These models describe

Motion of buoyant point vortices

A general Hamiltonian description for the trajectories of any number of interacting buoyant vortices in a homogeneous ambient fluid is presented. It constitutes an idealized description of coherent


The Path-Independent M Integral Implies the Creep Closure of Englacial and Subglacial Channels

Drainage channels are essential components of englacial and subglacial hydrologic systems. Here we use the M integral, a path-independent integral of the equations of continuum mechanics for a class