| A comprehensive explanation and exercise of the source terms in hyperbolic systems using Roe type solutions. Application to the 1D-2D shallow water equations J Murillo, A Navas-Montilla Advances in Water Resources 98, 70-96, 2016 | 51 | 2016 |
| Energy balanced numerical schemes with very high order. The Augmented Roe Flux ADER scheme. Application to the shallow water equations A Navas-Montilla, J Murillo Journal of Computational Physics 290, 188-218, 2015 | 39 | 2015 |
| Depth-averaged unsteady RANS simulation of resonant shallow flows in lateral cavities using augmented WENO-ADER schemes A Navas-Montilla, C Juez, MJ Franca, J Murillo Journal of Computational Physics 395, 511-536, 2019 | 32 | 2019 |
| 2D well-balanced augmented ADER schemes for the shallow water equations with bed elevation and extension to the rotating frame A Navas-Montilla, J Murillo Journal of Computational Physics 372, 316-348, 2018 | 32 | 2018 |
| Computational hemodynamics in arteries with the one-dimensional augmented fluid-structure interaction system: viscoelastic parameters estimation and comparison with in-vivo data G Bertaglia, A Navas-Montilla, A Valiani, MIM García, J Murillo, V Caleffi Journal of Biomechanics 100, 109595, 2020 | 30 | 2020 |
| Asymptotically and exactly energy balanced augmented flux-ADER schemes with application to hyperbolic conservation laws with geometric source terms A Navas-Montilla, J Murillo Journal of Computational Physics 317, 108-147, 2016 | 24 | 2016 |
| Formulation of exactly balanced solvers for blood flow in elastic vessels and their application to collapsed states J Murillo, A Navas-Montilla, P García-Navarro Computers & Fluids 186, 74-98, 2019 | 21 | 2019 |
| Overcoming numerical shockwave anomalies using energy balanced numerical schemes. Application to the Shallow Water Equations with discontinuous topography A Navas-Montilla, J Murillo Journal of Computational Physics 340, 575-616, 2017 | 18 | 2017 |
| 2D experiments and numerical simulation of the oscillatory shallow flow in an open channel lateral cavity A Navas-Montilla, S Martínez-Aranda, A Lozano, I García-Palacín, ... Advances in Water Resources 148, 103836, 2021 | 15 | 2021 |
| Improved Riemann solvers for an accurate resolution of 1D and 2D shock profiles with application to hydraulic jumps A Navas-Montilla, J Murillo Journal of Computational Physics 378, 445-476, 2019 | 14 | 2019 |
| Adaptation of flux-based solvers to 2D two-layer shallow flows with variable density including numerical treatment of the loss of hyperbolicity and drying/wetting fronts J Murillo, S Martinez-Aranda, A Navas-Montilla, P García-Navarro Journal of Hydroinformatics 22 (5), 972-1014, 2020 | 10 | 2020 |
| Application of approximate dispersion-diffusion analyses to under-resolved Burgers turbulence using high resolution WENO and UWC schemes P Solán-Fustero, A Navas-Montilla, E Ferrer, J Manzanero, ... Journal of Computational Physics 435, 110246, 2021 | 9 | 2021 |
| Analytical and numerical insights into wildfire dynamics: Exploring the advection–diffusion–reaction model C Reisch, A Navas-Montilla, I Özgen-Xian Computers & Mathematics with Applications 158, 179-198, 2024 | 8 | 2024 |
| Finite volume models and efficient simulation tools (EST) for shallow flows S Martínez-Aranda, J Fernández-Pato, I Echeverribar, A Navas-Montilla, ... Advances in fluid mechanics: modelling and simulations, 67-137, 2022 | 8 | 2022 |
| Discontinuous Galerkin well-balanced schemes using augmented Riemann solvers with application to the shallow water equations A Navas-Montilla, P Solán-Fustero, J Murillo, P García-Navarro Journal of Hydroinformatics 22 (5), 1038-1058, 2020 | 8 | 2020 |
| A family of well-balanced WENO and TENO schemes for atmospheric flows A Navas-Montilla, I Echeverribar Journal of Computational Physics 489, 112273, 2023 | 7 | 2023 |
| Development of POD-based Reduced Order Models applied to shallow water equations using augmented Riemann solvers P Solán-Fustero, JL Gracia, A Navas-Montilla, P García-Navarro Computer Methods in Applied Mechanics and Engineering 410, 116038, 2023 | 7 | 2023 |
| Numerical characterization of seiche waves energy potential in river bank lateral embayments C Juez, A Navas-Montilla Renewable Energy 186, 143-156, 2022 | 7 | 2022 |
| A POD-based ROM strategy for the prediction in time of advection-dominated problems P Solán-Fustero, JL Gracia, A Navas-Montilla, P García-Navarro Journal of Computational Physics 471, 111672, 2022 | 5 | 2022 |
| Hyperbolic reformulation approach to enable efficient simulation of groundwater flow and reactive transport I Özgen-Xian, A Navas-Montilla, D Dwivedi, S Molins Environmental Engineering Science 38 (3), 181-191, 2021 | 3 | 2021 |
Pilar Garcia-NavarroMecánica de Fluidos-Universidad Zaragoza-I3AVerified email at unizar.es