Meshfree Methods for Partial Differential Equations

Volume 26 of the series Lecture Notes in Computational Science and Engineering pp 131-142

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

  • Jason FrankAffiliated withCWI
  • , Georg GottwaldAffiliated withDepartment of Mathematics, University of Surrey
  • , Sebastian ReichAffiliated withDepartment of Mathematics, Imperial College

* Final gross prices may vary according to local VAT.

Get Access


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.