Martínez-Aranda, S.; Murillo, J.; García-Navarro, P. A 1D numerical model for the simulation of unsteady and highly erosive flows in rivers. (English) Zbl 1410.86004 Comput. Fluids 181, 8-34 (2019). MSC: 86-08 65M08 86A05 76B15 35Q35 PDFBibTeX XMLCite \textit{S. Martínez-Aranda} et al., Comput. Fluids 181, 8--34 (2019; Zbl 1410.86004) 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
Murillo, J.; García-Navarro, P. A Roe type energy balanced solver for 1D arterial blood flow and transport. (English) Zbl 1390.76941 Comput. Fluids 117, 149-167 (2015). MSC: 76Z05 76M12 65M08 92C35 PDFBibTeX XMLCite \textit{J. Murillo} and \textit{P. García-Navarro}, Comput. Fluids 117, 149--167 (2015; Zbl 1390.76941) Full Text: DOI
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
Juez, C.; Murillo, J.; García-Navarro, P. 2D simulation of granular flow over irregular steep slopes using global and local coordinates. (English) Zbl 1349.76344 J. Comput. Phys. 255, 166-204 (2013). MSC: 76M12 65M08 76T25 PDFBibTeX XMLCite \textit{C. Juez} et al., J. Comput. Phys. 255, 166--204 (2013; Zbl 1349.76344) Full Text: DOI
Morales-Hernandez, M.; García-Navarro, P.; Murillo, J. A large time step 1D upwind explicit scheme (CFL\(>1\)): application to shallow water equations. (English) Zbl 1284.65113 J. Comput. Phys. 231, No. 19, 6532-6557 (2012). MSC: 65M08 35L65 35Q35 PDFBibTeX XMLCite \textit{M. Morales-Hernandez} et al., J. Comput. Phys. 231, No. 19, 6532--6557 (2012; Zbl 1284.65113) 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
Murillo, J.; Latorre, B.; García-Navarro, P. A Riemann solver for unsteady computation of 2D shallow flows with variable density. (English) Zbl 1245.76106 J. Comput. Phys. 231, No. 14, 4775-4807 (2012). MSC: 76M25 35Q35 PDFBibTeX XMLCite \textit{J. Murillo} et al., J. Comput. Phys. 231, No. 14, 4775--4807 (2012; Zbl 1245.76106) Full Text: DOI Link
Murillo, J.; García-Navarro, P. Wave Riemann description of friction terms in unsteady shallow flows: application to water and mud/debris floods. (English) Zbl 1408.76152 J. Comput. Phys. 231, No. 4, 1963-2001 (2012). MSC: 76D05 76B15 76M25 PDFBibTeX XMLCite \textit{J. Murillo} and \textit{P. García-Navarro}, J. Comput. Phys. 231, No. 4, 1963--2001 (2012; Zbl 1408.76152) Full Text: DOI
Murillo, J.; García-Navarro, P. Improved Riemann solvers for complex transport in two-dimensional unsteady shallow flow. (English) Zbl 1408.76083 J. Comput. Phys. 230, No. 19, 7202-7239 (2011). MSC: 76B15 76M12 65M08 65M25 PDFBibTeX XMLCite \textit{J. Murillo} and \textit{P. García-Navarro}, J. Comput. Phys. 230, No. 19, 7202--7239 (2011; Zbl 1408.76083) Full Text: DOI
Murillo, J.; García-Navarro, P. Weak solutions for partial differential equations with source terms: application to the shallow water equations. (English) Zbl 1334.35014 J. Comput. Phys. 229, No. 11, 4327-4368 (2010). MSC: 35D30 35L65 65M12 76M12 76M20 PDFBibTeX XMLCite \textit{J. Murillo} and \textit{P. García-Navarro}, J. Comput. Phys. 229, No. 11, 4327--4368 (2010; Zbl 1334.35014) Full Text: DOI
Murillo, J.; García-Navarro, P.; Burguete, J. Conservative numerical simulation of multi-component transport in two-dimensional unsteady shallow water flow. (English) Zbl 1280.76042 J. Comput. Phys. 228, No. 15, 5539-5573 (2009). MSC: 76M25 65M08 76B15 PDFBibTeX XMLCite \textit{J. Murillo} et al., J. Comput. Phys. 228, No. 15, 5539--5573 (2009; Zbl 1280.76042) Full Text: DOI
Rosatti, G.; Murillo, J.; Fraccarollo, L. Generalized Roe schemes for 1D two-phase, free-surface flows over a mobile bed. (English) Zbl 1218.76033 J. Comput. Phys. 227, No. 24, 10058-10077 (2008). MSC: 76M20 65M06 76T99 86-08 86A05 PDFBibTeX XMLCite \textit{G. Rosatti} et al., J. Comput. Phys. 227, No. 24, 10058--10077 (2008; Zbl 1218.76033) Full Text: DOI