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

107 citations

Showing 2014Show all

9 papers · 1 filter

physics.flu-dyn2014★ 4 cited

Adaptive modeling of shallow fully nonlinear gravity waves

Denys Dutykh, Didier Clamond, Dimitrios Mitsotakis

This paper presents an extended version of the celebrated Serre-Green-Naghdi (SGN) system. This extension is based on the well-known Bona-Smith-Nwogu trick which aims to improve th…

physics.flu-dyn2014★ 25 cited

A plethora of generalised solitary gravity-capillary water waves

Didier Clamond, Denys Dutykh, Angel Duran

The present study describes, first, an efficient algorithm for computing capillary-gravity solitary waves solutions of the irrotational Euler equations with a free surface and, sec…

physics.class-ph2014★ 2 cited

Resonance enhancement by suitably chosen frequency detuning

Denys Dutykh, Elena Tobisch

In this Letter we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation…

physics.comp-ph2014★ 13 cited

A new run-up algorithm based on local high-order analytic expansions

Gayaz Khakimzyanov, Nina Shokina, Denys Dutykh +1

The practically important problem of the wave run-up is studied in this article in the framework of Nonlinear Shallow Water Equations (NSWE). The main novelty consists in the usage…

math.RT2014★ 1 cited

Kostant section, universal centralizer, and a modular derived Satake equivalence

Simon Riche

We prove analogues of fundamental results of Kostant on the universal centralizer of a connected reductive algebraic group for algebraically closed fields of positive characteristi…

physics.flu-dyn2014★ 100 cited

The Whitham Equation as a Model for Surface Water Waves

Daulet Moldabayev, Henrik Kalisch, Denys Dutykh

The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham e…

nlin.PS2014★ 22 cited

On the nonlinear dynamics of the traveling-wave solutions of the Serre system

Dimitrios Mitsotakis, Denys Dutykh, John D. Carter

We numerically study nonlinear phenomena related to the dynamics of traveling wave solutions of the Serre equations including the stability, the persistence, the interactions and t…

nlin.PS2014★ 42 cited

Nonlinear waves in networks: a simple approach using the sine-Gordon equation

Jean-Guy Caputo, Denys Dutykh

To study the propagation of nonlinear waves across Y- and T-type junctions, we consider the 2D sine--Gordon equation as a model and study the dynamics of kinks and breathers in suc…

math.RT2014★ 5 cited

Modular perverse sheaves on flag varieties I: tilting and parity sheaves

Pramod N. Achar, Simon Riche

In this paper we prove that the category of parity complexes on the flag variety of a complex connected reductive group is a "graded version" of the category of tilting perverse sh…