Manuel J. Castro Díaz
Manuel J. Castro Díaz
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Anisotropic unstructured mesh adaption for flow simulations
MJ Castro-Diaz, F Hecht, B Mohammadi, O Pironneau
International Journal for Numerical Methods in Fluids 25 (4), 475-491, 1997
High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
M Castro, J Gallardo, C Parés
Mathematics of computation 75 (255), 1103-1134, 2006
On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems
C Parés, M Castro
ESAIM: mathematical modelling and numerical analysis 38 (5), 821-852, 2004
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes
MJ Castro, PG LeFloch, ML Muñoz-Ruiz, C Parés
Journal of Computational Physics 227 (17), 8107-8129, 2008
On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
JM Gallardo, C Parés, M Castro
Journal of Computational Physics 227 (1), 574-601, 2007
Sediment transport models in shallow water equations and numerical approach by high order finite volume methods
MJC Díaz, ED Fernández-Nieto, AM Ferreiro
Computers & Fluids 37 (3), 299-316, 2008
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows
M Dumbser, M Castro, C Parés, EF Toro
Computers & Fluids 38 (9), 1731-1748, 2009
A new Savage–Hutter type model for submarine avalanches and generated tsunami
ED Fernández-Nieto, F Bouchut, D Bresch, MJC Diaz, A Mangeney
Journal of Computational Physics 227 (16), 7720-7754, 2008
A Q-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
M Castro, J Macías, C Parés
ESAIM: Mathematical Modelling and Numerical Analysis 35 (1), 107-127, 2001
FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems
M Dumbser, A Hidalgo, M Castro, C Parés, EF Toro
Computer Methods in Applied Mechanics and Engineering 199 (9-12), 625-647, 2010
Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique
MJ Castro, A Pardo Milanés, C Parés
Mathematical Models and Methods in Applied Sciences 17 (12), 2055-2113, 2007
The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems
MJ Castro, AMF Ferreiro, JA García-Rodríguez, JM González-Vida, ...
Mathematical and computer modelling 42 (3-4), 419-439, 2005
Numerical simulation of two-layer shallow water flows through channels with irregular geometry
MJ Castro, JA Garcıa-Rodrıguez, JM González-Vida, J Macıas, C Parés, ...
Journal of Computational Physics 195 (1), 202-235, 2004
High order extensions of Roe schemes for two-dimensional nonconservative hyperbolic systems
MJ Castro, ED Fernández-Nieto, AM Ferreiro, JA García-Rodríguez, ...
Journal of Scientific Computing 39, 67-114, 2009
A class of computationally fast first order finite volume solvers: PVM methods
MJ Castro Díaz, E Fernandez-Nieto
SIAM Journal on Scientific Computing 34 (4), A2173-A2196, 2012
Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes
MJC Dı, ED Fernández-Nieto, AM Ferreiro, C Parés
Computer Methods in Applied Mechanics and Engineering 198 (33-36), 2520-2538, 2009
On some fast well-balanced first order solvers for nonconservative systems
M Castro, A Pardo, C Parés, E Toro
Mathematics of computation 79 (271), 1427-1472, 2010
Inter-model analysis of tsunami-induced coastal currents
PJ Lynett, K Gately, R Wilson, L Montoya, D Arcas, B Aytore, Y Bai, ...
Ocean Modelling 114, 14-32, 2017
Well-balanced high order extensions of Godunov's method for semilinear balance laws
M Castro, JM Gallardo, JA López-GarcÍa, C Parés
SIAM Journal on Numerical Analysis 46 (2), 1012-1039, 2008
Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system
MJ Castro-Díaz, ED Fernández-Nieto, JM González-Vida, ...
Journal of Scientific Computing 48 (1), 16-40, 2011
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