We study the modulational instability of a shallow water model, with and without surface tension, which generalizes the Whitham equation to include bi-directional propagation. Without surface tension, the small amplitude periodic traveling waves are modulationally unstable if their wave number is greater than a critical wave number predicting a Benjamin-Feir type instability and the result qual...

The studied area includes Sulaimani, Erbil and Dohuk Governorates where Cretaceous rocks are well exposed in the High Folded Zone of North and Northeastern Iraq. This area is part of the northwestern boundary of Arabian platform near to Iranian border. In these governorates, the study tries to clarify the relations between deep and shallow stratigraphic units (formation or facies) during Cretac...

Recent progress in the development of a physics-based numerical propagation model for the virtual transmission of acoustic communication signals in shallow water is presented. The ultimate objective is to provide for the prediction of the output of the quadrature detector (QD, an analog of the discrete Fourier transform) in a time-variant, doubly dispersive, shallow-water channel. Current model...

We consider the floating body problem in vertical plane on a large space scale. More precisely, we are interested numerical modeling of freely water such as icebergs or wave energy converters. The fluid-solid interaction is formulated using congested shallow model for fluid and Newton’s second law motion solid. make particular focus transfer between solid since it major interest production. A a...

Shallow water equations arise in many scientiic applications, for example climate modeling. The numerical solution of such equations requires a very large amount of computation which is suitable for parallelization. The odd-even Hopscotch method is parallelizable and is applied to solve this problem. Our aim is to investigate the performance of the method implemented on the virtual shared memor...

A general method for the derivation of asymptotic nonlinear shallow water and deep water models is presented. Starting from a general dimensionless version of the water-wave equations, we reduce the problem to a system of two equations on the surface elevation and the velocity potential at the free surface. These equations involve a Dirichlet-Neumann operator and we show that all the asymptotic...

We propose an algorithm for an asymptotic model of shallow-water wave dynamics in a periodic domain. The algorithm is based on the Hamiltonian structure of the equation and corresponds to a completely integrable particle lattice. In particular, “periodic particles” are introduced in the algorithm for waves travelling through the domain. Each periodic particle in this method travels along a char...