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Finite volume methods for unidirectional dispersive wave models
Abstract : We extend the framework of the finite volume method to dispersive unidirectional water wave propagation in one space dimension. In particular we consider a KdV-BBM type equation. Explicit and IMEX Runge-Kutta type methods are used for time discretizations. The fully discrete schemes are validated by direct comparisons to analytic solutions. Invariants conservation properties are also studied. Main applications include important nonlinear phenomena such as dispersive shock wave formation, solitary waves and their various interactions.
Cited literature [50 references]
https://hal.archives-ouvertes.fr/hal-00538043
Contributor : Denys Dutykh Connect in order to contact the contributor
Submitted on : Friday, February 3, 2012 - 8:59:43 PM
Last modification on : Monday, October 11, 2021 - 10:26:32 AM
Long-term archiving on: : Friday, May 4, 2012 - 3:11:14 AM
Contributor : Denys Dutykh Connect in order to contact the contributor
Submitted on : Friday, February 3, 2012 - 8:59:43 PM
Last modification on : Monday, October 11, 2021 - 10:26:32 AM
Long-term archiving on: : Friday, May 4, 2012 - 3:11:14 AM
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