A Hamiltonian Particle-Mesh Method for the Rotating Shallow-Water Equations [chapter]

Jason Frank, Georg Gottwald, Sebastian Reich
2003 Lecture Notes in Computational Science and Engineering  
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