Applied PDE Group
Nonlinear Partial Differential Equations in Fluid and Solid Mechanics

DKM2011p

Finite volume schemes for Boussinesq type equations

​D. Dutykh, Th. Katsaounis, D. Mitsotakis, Finite volume schemes for Boussinesq type equations, Proceedings of Colloque EDP-Normandie, Caen, France, pp. 15-21, 2011
D. Dutykh, Th. Katsaounis, D. Mitsotakis
finite volume schemes, Boussinesq equation
2011
​Finite volume schemes are commonly used to construct approximate solutions to conservation laws. In this study we extend the framework
of the finite volume methods to dispersive water wave models, in particular to
Boussinesq type systems. We focus mainly on the application of the method to
bidirectional nonlinear, dispersive wave propagation in one space dimension.
Special emphasis is given to important nonlinear phenomena such as solitary
waves interactions