GENERIC formalism and discrete variational derivative method for the two-dimensional vorticity equation
type: Item
instance of: scholarly article
title: GENERIC formalism and discrete variational derivative method for the two-dimensional vorticity equation
zbMATH Open document ID: 1342.76088
author: Yukihito Suzuki
author: Masashi Ohnawa
published in: Journal of Computational and Applied Mathematics
publication date: 2015-12-21T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D17
Mathematics Subject Classification ID: 76B47
zbMATH DE Number: 6522844
zbMATH Keywords: discrete variational derivative method
zbMATH Keywords: vorticity equations
zbMATH Keywords: GENERIC formulation
MaRDI profile type: Publication
full work available at URL: j.cam.2015.10.018
OpenAlex ID: W1936660546
cites work: Q4249020
cites work: Reciprocal Relations in Irreversible Processes. I.
cites work: Reciprocal Relations in Irreversible Processes. II.
cites work: Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property
cites work: Discrete Variational Derivative Method
cites work: Geometric Numerical Integration
cites work: Simulating Hamiltonian Dynamics
cites work: Discrete mechanics and variational integrators
cites work: Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
cites work: Multisymplectic geometry, variational integrators, and nonlinear PDEs
cites work: Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation
cites work: Multisymplectic box schemes and the Korteweg-de Vries equation.
cites work: Multi-symplectic methods for the coupled 1D nonlinear Schrödinger system
cites work: Variational time integrators
cites work: The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
cites work: A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
cites work: Hamiltonian moving-particle semi-implicit (HMPS) method for incompressible fluid flows
cites work: A Hamiltonian particle method for non-linear elastodynamics
cites work: Hamiltonian description of the ideal fluid
cites work: Vorticity and incompressible flow
cites work: Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
cites work: Generalizations of Arakawa's Jacobian
cites work: A nonlinear Hamiltonian structure for the Euler equations
cites work: Q4273954
cites work: A Nambu representation of incompressible hydrodynamics using helicity and enstrophy
cites work: Generalized Hamiltonian Dynamics
cites work: Q5783502
cites work: Numerical Solution of Partial Differential Equations
cites work: Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
cites work: A general method for conserving quantities related to potential vorticity in numerical models
cites work: Variational integrators for nonvariational partial differential equations
cites work: Integrating factors, adjoint equations and Lagrangians
cites work: A new conservation theorem
cites work: Stability and transition in shear flows
DOI: 10.1016/J.CAM.2015.10.018
description: scientific article; zbMATH DE number 6522844