Abstract
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 α-Euler models.
Partially supported by GMD, Boon.
Supported by European Commission funding for the Research Training Network “Mechanics and Symmetry in Europe”.
Partially supported by EPSRC Grant GR/R09565/01 and by European Commission funding for the Research Training Network “Mechanics and Symmetry in Europe”.
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Frank, J., Gottwald, G., Reich, S. (2003). A Hamiltonian Particle-Mesh Method for the Rotating Shallow-Water Equations. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56103-0_10
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DOI: https://doi.org/10.1007/978-3-642-56103-0_10
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