2003
A Hamiltonian Particle-Mesh Method for the Rotating Shallow Water Equations
Publication
Publication
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 $\alpha$-Euler models.
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Springer | |
M. Griebel , M.A. Schweitzer | |
Lecture Notes in Computational Science and Engineering | |
Organisation | Computational Dynamics |
Frank, J., Gottwald, G. A., & Reich, S. (2003). A Hamiltonian Particle-Mesh Method for the Rotating Shallow Water Equations. In M. Griebel & M. A. Schweitzer (Eds.), Meshfree Methods for Partial Differential Equations (pp. 131–142). Springer. |