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Abstract: We extend the framework of the finite volume method to dispersiveunidirectional water wave propagation in one space dimension. In particular weconsider a KdV-BBM type equation. Explicit and IMEX Runge-Kutta type methodsare used for time discretizations. The fully discrete schemes are validated bydirect comparisons to analytic solutions. Invariants conservation propertiesare also studied. Main applications include important nonlinear phenomena suchas dispersive shock wave formation, solitary waves and their variousinteractions.



Autor: Denys Dutykh LAMA, Theodoros Katsaounis, Dimitrios Mitsotakis IMA

Fuente: https://arxiv.org/







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