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 | 391 | 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 | 347 | 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 | 276 | 2004 |
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 | 254 | 2007 |
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 | 251 | 2008 |
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 | 225 | 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 | 214 | 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 | 213 | 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 | 206 | 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 | 196 | 2010 |
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 | 162 | 2005 |
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 | 161 | 2007 |
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 | 161 | 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 | 135 | 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 | 130 | 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 | 129 | 2009 |
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 | 122 | 2017 |
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 | 122 | 2010 |
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 | 121 | 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 | 105 | 2011 |