Simulation of a viscous fluid spreading by a bidimensional shallow water   model
  In this paper we propose a numerical method to solve the Cauchy problem based on the viscous shallow water equations in an horizontally moving domain. More precisely, we are interested in a flooding and drying model, used to modelize the overflow of a river or the intrusion of a tsunami on ground. We use a non conservative form of the two-dimensional shallow water equations, in eight velocity formulation and we build a numerical approximation, based on the Arbitrary Lagrangian Eulerian formulation, in order to compute the solution in the moving domain. 
Bernard Di Martino (SPE), Catherine Giacomoni (SPE), Jean-Martin Paoli   (SPE), Pierre Simonnet (SPE)
math.NA