Simulation of a viscous fluid spreading by a bidimensional shallow water model

Details Simulation of a viscous fluid spreading by a bidimensional shallow water model Simulation of a viscous fluid spreading by a bidimensional shallow water model

2011-05-06

arxiv.org/abs/1105.1228v1

Applied Mathematical Modelling 35 (2011) 3387-3395

Mathematics

Numerical Analysis

Scientific paper

10.1016/j.apm.2011.01.015

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.

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