A central moments-based lattice Boltzmann scheme for shallow water equations

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In this paper, we explore the possibility to derive an original lattice Boltzmann scheme for solving shallow water equations. Specifically, it is proposed to decompose the collision operator by means of a non-orthogonal basis of central moments which relax independently to a discrete equilibrium. Our method is strictly consistent with the BGK operator, as the latter is recovered exactly if all the moments relax with a common frequency. The methodology is validated against five well-consolidated established benchmark problems, showing very good agreement. Moreover, it possesses very high properties in terms of stability.

Original languageEnglish
Pages (from-to)379-392
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Early online date8 Mar 2017
Publication statusPublished - 1 Jun 2017


  • Dam-break flow
  • Lattice Boltzmann scheme
  • Shallow water equations


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