output
20072025
most citedThe VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation

107 citations

Showing 2013Show all

10 papers · 1 filter

nlin.PS2013★ 86 cited

Numerical simulation of a solitonic gas in KdV and KdV-BBM equations

Denys Dutykh, Efim Pelinovsky

The collective behaviour of soliton ensembles (i.e. the solitonic gas) is studied using the methods of the direct numerical simulation. Traditionally this problem was addressed in…

physics.flu-dyn2013★ 6 cited

Visco-potential flows in electrohydrodynamics

Matthew Hunt, Denys Dutykh

In this study we consider the problem of the interface motion under the capillary-gravity and an external electric forces. The infinitely deep fluid layer is assumed to be viscous,…

math.PR2013★ 10 cited

The Vervaat transform of Brownian bridges and Brownian motion

Titus Lupu, Jim Pitman, Wenpin Tang

For a continuous function , define the Vervaat transform , where corresponds to the fir…

physics.class-ph2013★ 12 cited

Evolution of Random Wave Fields in the Water of Finite Depth

Denys Dutykh

The evolution of random wave fields on the free surface is a complex process which is not completely understood nowadays. For the sake of simplicity in this study we will restrict…

physics.class-ph2013★ 5 cited

Numerical study of the generalised Klein-Gordon equations

Denys Dutykh, Marx Chhay, Didier Clamond

In this study, we discuss an approximate set of equations describing water wave propagating in deep water. These generalized Klein-Gordon (gKG) equations possess a variational form…

physics.class-ph2013★ 7 cited

Some special solutions to the Hyperbolic NLS equation

Laurent Vuillon, Denys Dutykh, Francesco Fedele

The Hyperbolic Nonlinear Schrodinger equation (HypNLS) arises as a model for the dynamics of three-dimensional narrowband deep water gravity waves. In this study, the Petviashvili…

physics.class-ph2013★ 52 cited

Extreme wave runup on a vertical cliff

Francesco Carbone, Denys Dutykh, John M. Dudley +1

Wave impact and run-up onto vertical obstacles are among the most important phenomena which must be taken into account in the design of coastal structures. From linear wave theory,…

math.PR2013★ 11 cited

Poisson ensembles of loops of one-dimensional diffusions

Titus Lupu

We study the analogue of Poisson ensembles of Markov loops ('loop soups') in the setting of one-dimensional diffusions. We give a detailed description of the corresponding intensit…

physics.flu-dyn2013★ 81 cited

Efficient computation of steady solitary gravity waves

Denys Dutykh, Didier Clamond

An efficient numerical method to compute solitary wave solutions to the free surface Euler equations is reported. It is based on the conformal mapping technique combined with an ef…

math.AG2013★ 5 cited

Formality of derived intersections

Julien Grivaux

We study derived intersections of smooth analytic cycles, and provide in some cases necessary and sufficient conditions for this intersection be formal. In particular, if X is a co…