Hamiltonian Particle-Mesh Method for Two-Layer Shallow-Water Equations Subject to the Rigid-Lid Approximation

DOI10.1137/030600076zbMath1147.76603OpenAlexW2105876564MaRDI QIDQ4653115

Jason Frank, Colin John Cotter, Sebastian Reich

Publication date: 28 February 2005

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/030600076

zbMATH Keywords

symplectic integrationparticle methodsrigid-lid approximationrotating shallow-water equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Particle methods and lattice-gas methods (76M28) General theory of rotating fluids (76U05) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (4)

Wetting and drying of two-layer shallow-water flow in a moving vessel via semi-Lagrangian simulation ⋮ Convergence of the Hamiltonian particle-mesh method for barotropic fluid flow ⋮ Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method ⋮ Symplectic Time-Stepping for Particle Methods

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