81 citations · 587 across the 33 of their papers we have counts for
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physics.flu-dyn2011★ 67 cited
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
Denys Dutykh, Didier Clamond, Paul Milewski +1
After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties. We also propose a robust…
physics.class-ph2011★ 17 cited
Shallow water equations for large bathymetry variations
Denys Dutykh, Didier Clamond
In this study, we propose an improved version of the nonlinear shallow water (or Saint-Venant) equations. This new model is designed to take into account the effects resulting from…