José M. González-Vida

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This paper deals with the numerical simulation of flows of stratified fluids through channels with irregular geometry. Channel crosssections are supposed to be symmetric but not necessarily rectangular. The fluid is supposed to be composed of two shallow layers of immiscible fluids of constant densities, and the flow is assumed to be one-dimensional.(More)
In this work, a characterization of the hyperbolicity region for the two layer shallow-water system is proposed and checked. Next, some path-conservative finite volume schemes (see [11]) that can be used even if the system is not hyperbolic are presented, but they are not in general L2 linearly stable in that case. Then, we introduce a simple but efficient(More)
Abstract--This paper deals with the numerical difficulties related to the appearance of the socalled wet /dry fronts tha t may occur during the simulation of free-surface waves in shallow fluids and internal waves in stratified fluids composed by two shallow layers of immiscible liquids. In the one-layer case, the fluid is supposed to be governed by the(More)
To help produce accurate and consistent maritime hazard products, the National Tsunami Hazard Mitigation Program organized a benchmarking workshop to evaluate the numerical modeling of tsunami currents. Thirteen teams of international researchers, using a set of tsunami models currently utilized for hazard mitigation studies, presented results for a series(More)
3 M odelling is an essential tool in the scientists' kit that allows them to indulge in their favourite pastime, ie, trying to understand reality. I am convinced that not many scientists would claim that an absolutely accurate simulation of even little bits of reality is an easy task. Yet, modelling enables the scientist to interact iteratively with(More)
Shallow-water type models are commonly used in tsunami simulations. These models contain uncertain parameters like the ratio of densities of layers, friction coefficient, fault deformation, etc. These parameters are modeled statistically and quantifying the resulting solution uncertainty (UQ) is a crucial task in geophysics. We propose a paradigm for UQ(More)
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