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A Hamiltonian Particle-Mesh Method for the Rotating Shallow-Water Equations
[chapter]
2003
Lecture Notes in Computational Science and Engineering
Preserved Fulltext
A new particle-mesh method is proposed for the rotating shallow-water equations. The spatially truncated equations are Hamiltonian and satisfy a Kelvin circulation theorem. The generation of non-smooth components in the layer-depth is avoided by applying a smoothing operator similar to what has recently been discussed in the context of -Euler models.
doi:10.1007/978-3-642-56103-0_10
fatcat:2l67b5qkebbr3nbb4d43sthbtm