35 citations · 84 across the 4 of their papers we have counts for
4 papers
In-cell Discontinuous Reconstruction path-conservative methods for non conservative hyperbolic systems -- Second-order extension
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons +2
We are interested in the numerical approximation of discontinuous solutions in non conservative hyperbolic systems. An extension to second-order of a new strategy based on in-cell…
Non-Hydrostatic Pressure Shallow Flows: GPU Implementation Using Finite Volume and Finite Difference Scheme
C. Escalante, T. Morales de Luna, M. J. Castro
We consider the depth-integrated non-hydrostatic system derived by Yamazaki et al. An efficient formally second-order well-balanced hybrid finite volume finite difference numerical…
Formal deduction of the Saint-Venant-Exner model including arbitrarily sloping sediment beds and associated energy
E. D. Fernández-Nieto, T. Morales de Luna, G. Narbona-Reina +1
In this work we present a deduction of the Saint-Venant-Exner model through an asymptotic analysis of the Navier-Stokes equations. A multi-scale analysis is performed in order to t…
Reliability of first order numerical schemes for solving shallow water system over abrupt topography
T. Morales de Luna, M. J. Castro Díaz, C. Parés Madroñal
We compare some first order well-balanced numerical schemes for shallow water system with special interest in applications where there are abrupt variations of the topography. We s…