Hamiltonian differencing of fluid dynamics

DOI10.1016/0196-8858(85)90004-1zbMath0596.76004OpenAlexW2092295246MaRDI QIDQ1079048

Darryl D. Holm, C. David Levermore, Boris A. Kupershmidt

Publication date: 1985

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(85)90004-1

zbMATH Keywords

Euler equationsbracketuniversalhigher dimensionalenergy representationscontinuous Lagrangian fluid dynamicscylindrical geometry differencing schemedifferencing procedurediscrete Lagrangian fluid dynamicsHamiltonian differencingnumerical differencing schemesthree-dimensional Cartesian differencing schemeuniversal Hamiltonian formvon Neumann-Richtmeyer scheme

Mathematics Subject Classification ID

Hamiltonian and Lagrangian mechanics (70H99) Foundations of fluid mechanics (76A02) Incompressible inviscid fluids (76Bxx)

Related Items

Hamiltonian-conserving discrete canonical equations based on variational difference quotients, Discrete Lagrange's equations and canonical equations based on the principle of least action, Discretization of ideal fluid dynamics in the Eulerian representation, Hamiltonian finite-dimensional models of baroclinic instability, Equivariant symplectic difference schemes and generating functions, Energy preservation and entropy in Lagrangian space- and time-staggered hydrodynamic schemes, Phase space density representations in fluid dynamics, The construction of compatible hydrodynamics algorithms utilizing conservation of total energy

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