The Hamiltonian particle-mesh method for the spherical shallow water equations

Jason Frank; S. Reich

doi:10.1002/asl.70

The Hamiltonian particle-mesh method for the spherical shallow water equations

Jason Frank^*, S. Reich

^*Corresponding author for this work

extern

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

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 O(J²logJ) in the latitudinal gridsize) to approximate the inverse modified Helmholtz reeularization operator. The time step for the explicit, symplectic integrator depends only on a uniform physical smoothing length.

Original language	English
Pages (from-to)	89-95
Number of pages	7
Journal	Atmospheric Science Letters
Volume	5
Issue number	5
DOIs	https://doi.org/10.1002/asl.70
Publication status	Published - Apr 2004
Externally published	Yes

Keywords

Constraints
Hamiltonian equations of motion
Particle-mesh method
Shallow-water equations
Spherical geometry
Symplectic integration

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10.1002/asl.70

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abstract = "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 O(J2logJ) in the latitudinal gridsize) to approximate the inverse modified Helmholtz reeularization operator. The time step for the explicit, symplectic integrator depends only on a uniform physical smoothing length.",

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KW - Constraints

KW - Hamiltonian equations of motion

KW - Particle-mesh method

KW - Shallow-water equations

KW - Spherical geometry

KW - Symplectic integration

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The Hamiltonian particle-mesh method for the spherical shallow water equations

Abstract

Keywords

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