Open AccessThe Hamiltonian particle‐mesh method for the spherical shallow water equations
Author(s) -
Frank J.,
Reich S.
Publication year - 2004
Publication title -
atmospheric science letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.951
H-Index - 45
ISSN - 1530-261X
DOI - 10.1002/asl.70
Subject(s) - symplectic integrator , shallow water equations , mathematics , hamiltonian (control theory) , integrator , regularization (linguistics) , mathematical analysis , symplectic geometry , smoothing , inverse , helmholtz equation , physics , geometry , mathematical optimization , computer science , boundary value problem , symplectic manifold , quantum mechanics , statistics , voltage , artificial intelligence
The Hamiltonian particle‐mesh (HPM) method is generalized to the spherical shallow‐water equations, utilizing constrained particle dynamics on the sphere and Merilees pseudospectral method (complexity ( J 2 log J ) in the latitudinal gridsize) to approximate the inverse modified Helmholtz regularization operator. The time step for the explicit, symplectic integrator depends only on a uniform physical smoothing length. Copyright © 2004 Royal Meteorological Society