The Hamiltonian particle‐mesh method for the spherical shallow water equations | Zendy

Frank J. | Zendy; Reich S. | Zendy

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The 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

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