Martínez-Aranda, S.; Fernández-Pato, J.; Echeverribar, I.; Navas-Montilla, A.; Morales-Hernández, M.; Brufau, P.; Murillo, J.; García-Navarro, P. Finite volume models and efficient simulation tools (EST) for shallow flows. (English) Zbl 1507.76140 Zeidan, Dia (ed.) et al., Advances in fluid mechanics. Modelling and simulations. Singapore: Springer. Forum Interdiscip. Math., 67-137 (2022). MSC: 76M12 76D99 76F99 86A05 PDFBibTeX XMLCite \textit{S. Martínez-Aranda} et al., in: Advances in fluid mechanics. Modelling and simulations. Singapore: Springer. 67--137 (2022; Zbl 1507.76140) Full Text: DOI
Murillo, J.; Navas-Montilla, A.; García-Navarro, P. Formulation of exactly balanced solvers for blood flow in elastic vessels and their application to collapsed states. (English) Zbl 1519.76372 Comput. Fluids 186, 74-98 (2019). MSC: 76Z05 74F10 76M12 92C35 PDFBibTeX XMLCite \textit{J. Murillo} et al., Comput. Fluids 186, 74--98 (2019; Zbl 1519.76372) Full Text: DOI Link
Navas-Montilla, A.; Murillo, J. 2D well-balanced augmented ADER schemes for the shallow water equations with bed elevation and extension to the rotating frame. (English) Zbl 1415.76476 J. Comput. Phys. 372, 316-348 (2018). MSC: 76M12 76B15 35L50 35Q35 PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{J. Murillo}, J. Comput. Phys. 372, 316--348 (2018; Zbl 1415.76476) Full Text: DOI Link
Navas-Montilla, A.; Murillo, J. Overcoming numerical shockwave anomalies using energy balanced numerical schemes. Application to the shallow water equations with discontinuous topography. (English) Zbl 1376.76034 J. Comput. Phys. 340, 575-616 (2017). MSC: 76M12 35L65 PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{J. Murillo}, J. Comput. Phys. 340, 575--616 (2017; Zbl 1376.76034) Full Text: DOI Link
Navas-Montilla, A.; Murillo, J. Asymptotically and exactly energy balanced augmented flux-ADER schemes with application to hyperbolic conservation laws with geometric source terms. (English) Zbl 1349.65379 J. Comput. Phys. 317, 108-147 (2016). MSC: 65M08 76M12 PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{J. Murillo}, J. Comput. Phys. 317, 108--147 (2016; Zbl 1349.65379) Full Text: DOI Link
Navas-Montilla, A.; Murillo, J. Energy balanced numerical schemes with very high order. The augmented Roe flux ADER scheme. Application to the shallow water equations. (English) Zbl 1349.76372 J. Comput. Phys. 290, 188-218 (2015). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{A. Navas-Montilla} and \textit{J. Murillo}, J. Comput. Phys. 290, 188--218 (2015; Zbl 1349.76372) Full Text: DOI
Murillo, J.; García-Navarro, P. Accurate numerical modeling of 1D flow in channels with arbitrary shape. Application of the energy balanced property. (English) Zbl 1349.76032 J. Comput. Phys. 260, 222-248 (2014). MSC: 76B15 76M20 65M06 PDFBibTeX XMLCite \textit{J. Murillo} and \textit{P. García-Navarro}, J. Comput. Phys. 260, 222--248 (2014; Zbl 1349.76032) Full Text: DOI
Murillo, J.; García-Navarro, P. Augmented versions of the HLL and HLLC Riemann solvers including source terms in one and two dimensions for shallow flow applications. (English) Zbl 1284.35118 J. Comput. Phys. 231, No. 20, 6861-6906 (2012). MSC: 35D30 35Q35 65M08 76M12 76B15 PDFBibTeX XMLCite \textit{J. Murillo} and \textit{P. García-Navarro}, J. Comput. Phys. 231, No. 20, 6861--6906 (2012; Zbl 1284.35118) Full Text: DOI