Berthon, Christophe; Castro Díaz, Manuel J.; Duran, Arnaud; Morales de Luna, Tomás; Saleh, Khaled Artificial viscosity to get both robustness and discrete entropy inequalities. (English) Zbl 1527.65077 J. Sci. Comput. 97, No. 3, Paper No. 65, 36 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 35D30 76N10 35Q31 PDFBibTeX XMLCite \textit{C. Berthon} et al., J. Sci. Comput. 97, No. 3, Paper No. 65, 36 p. (2023; Zbl 1527.65077) Full Text: DOI
Garres-Díaz, J.; Escalante, C.; Morales de Luna, T.; Castro Díaz, M. J. A general vertical decomposition of Euler equations: multilayer-moment models. (English) Zbl 1504.35252 Appl. Numer. Math. 183, 236-262 (2023). MSC: 35Q31 76B15 76B07 35R35 65M08 65M60 65M06 65N08 65N30 76M10 76M20 76M12 PDFBibTeX XMLCite \textit{J. Garres-Díaz} et al., Appl. Numer. Math. 183, 236--262 (2023; Zbl 1504.35252) Full Text: DOI
Fernández, E. Guerrero; Díaz, M. J. Castro; Dumbser, M.; de Luna, T. Morales An arbitrary high order well-balanced ADER-DG numerical scheme for the multilayer shallow-water model with variable density. (English) Zbl 07454834 J. Sci. Comput. 90, No. 1, Paper No. 52, 38 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{E. G. Fernández} et al., J. Sci. Comput. 90, No. 1, Paper No. 52, 38 p. (2022; Zbl 07454834) Full Text: DOI
Morales de Luna, T.; Fernández Nieto, E. D.; Castro Díaz, M. J. Derivation of a multilayer approach to model suspended sediment transport: application to hyperpycnal and hypopycnal plumes. (English) Zbl 1488.76147 Commun. Comput. Phys. 22, No. 5, 1439-1485 (2017). MSC: 76T20 35L60 35L65 76B07 PDFBibTeX XMLCite \textit{T. Morales de Luna} et al., Commun. Comput. Phys. 22, No. 5, 1439--1485 (2017; Zbl 1488.76147) Full Text: DOI arXiv
Fernández-Nieto, E. D.; Castro Díaz, M. J.; Parés, C. On an intermediate field capturing Riemann solver based on a parabolic viscosity matrix for the two-layer shallow water system. (English) Zbl 1421.76163 J. Sci. Comput. 48, No. 1-3, 117-140 (2011). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{E. D. Fernández-Nieto} et al., J. Sci. Comput. 48, No. 1--3, 117--140 (2011; Zbl 1421.76163) Full Text: DOI Link
Castro-Díaz, M. J.; Fernández-Nieto, E. D.; González-Vida, J. M.; Parés-Madroñal, C. Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system. (English) Zbl 1416.76140 J. Sci. Comput. 48, No. 1-3, 16-40 (2011). MSC: 76M12 76B55 76B15 PDFBibTeX XMLCite \textit{M. J. Castro-Díaz} et al., J. Sci. Comput. 48, No. 1--3, 16--40 (2011; Zbl 1416.76140) Full Text: DOI Link
Castro Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M. Sediment transport models in shallow water equations and numerical approach by high order finite volume methods. (English) Zbl 1237.76082 Comput. Fluids 37, No. 3, 299-316 (2008). MSC: 76M12 86A05 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} et al., Comput. Fluids 37, No. 3, 299--316 (2008; Zbl 1237.76082) Full Text: DOI Link
Castro Díaz, M. J.; Chacón Rebollo, T.; Fernández-Nieto, E. D.; González Vida, J. M.; Parés, C. Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam break of Aznalcóllar. (English) Zbl 1194.76150 Comput. Methods Appl. Mech. Eng. 197, No. 45-48, 3932-3950 (2008). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} et al., Comput. Methods Appl. Mech. Eng. 197, No. 45--48, 3932--3950 (2008; Zbl 1194.76150) Full Text: DOI Link
Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro Díaz, M. J.; Mangeney, A. A new Savage-Hutter type model for submarine avalanches and generated tsunami. (English) Zbl 1156.76015 J. Comput. Phys. 227, No. 16, 7720-7754 (2008). MSC: 76B70 76T25 76M12 86A05 PDFBibTeX XMLCite \textit{E. D. Fernández-Nieto} et al., J. Comput. Phys. 227, No. 16, 7720--7754 (2008; Zbl 1156.76015) Full Text: DOI