SOLUTION OF 2D BOUSSINESQ SYSTEMS WITH FREEFEM++: THE FLAT BOTTOM CASE

Georges Sadaka (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

FreeFem++ is an open source platform to solve partial differential equations numerically, based on finite element methods. The FreeFem++ platform has been developed to facilitate teaching and basic research through prototyping. For the moment this platform is restricted to the numerical simulations of problems which admit a variational formulation. We will use FreeFem++ in this work to solve a three-parameter family of Boussinesq type systems in two space dimensions which approximate the three-dimensional Euler equations over an horizontal bottom.

Mots clés: Boussinesq 2D systems; FreeFem++; finite element method

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Georges Sadaka. SOLUTION OF 2D BOUSSINESQ SYSTEMS WITH FREEFEM++: THE FLAT BOTTOM CASE. 2012. ⟨hal-00697129v2⟩