Simulation of a viscous fluid spreading by a bidimensional shallow water model
This work addresses the challenge of simulating fluid spreading in moving domains for environmental hazard modeling, but the contribution is incremental as it adapts existing numerical techniques to a specific problem.
The paper proposes a numerical method for solving viscous shallow water equations in a moving domain, applied to flooding and tsunami intrusion modeling. The method uses an Arbitrary Lagrangian Eulerian formulation to handle the moving boundary.
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.