106 citations · 730 across the 45 of their papers we have counts for
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Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics
Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis
For surface gravity waves propagating in shallow water, we propose a variant of the fully nonlinear Serre-Green-Naghdi equations involving a free parameter that can be chosen to im…
Numerical simulation of conservation laws with moving grid nodes: Application to tsunami wave modelling
Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis +1
In the present article we describe a few simple and efficient finite volume type schemes on moving grids in one spatial dimension combined with appropriate predictor-corrector meth…
Mechanical balance laws for fully nonlinear and weakly dispersive water waves
Henrik Kalisch, Zahra Khorsand, Dimitrios Mitsotakis
The Serre-Green-Naghdi system is a coupled, fully nonlinear system of dispersive evolution equations which approximates the full water wave problem. The system is an extension of t…
A modified Galerkin/finite element method for the numerical solution of the Serre-Green-Naghdi system
Dimitrios Mitsotakis, Costas Synolakis, Mark Mcguinness
A new modified Galerkin / Finite Element Method is proposed for the numerical solution of the fully nonlinear shallow water wave equations. The new numerical method allows the use…