162704 20251017144602.0 doi 10.1016/j.advwatres.2025.105085 sideral 145270 ART-2025-145270 eng Vallés, P. Universidad de Zaragoza (orcid)0000-0003-4444-778X Incorporating the vertical velocity in a coupled Lagrangian–Eulerian approach for particle transport in shallow flows 2025 Access copy available to the general public Unrestricted This work presents a method to incorporate vertical velocity into a two-dimensional depth-averaged Shallow Water Equation (2DH SWE) model, thereby improving the calculation of particle trajectories in a Lagrangian Particle Tracking (LPT) framework. The resulting formulation couples Eulerian and Lagrangian approaches. The vertical velocity is also used to modify the dispersion terms in the LPT model. The proposed approximation is first validated—without particle transport—by comparison with Hyperbolic–Elliptic and Hyperbolic-Relaxed Non-Hydrostatic Pressure (NHP) models. The differences between models are minor, confirming the suitability of the vertical velocity approximation for shallow flow problems. Subsequently, the method is applied to particle transport scenarios, demonstrating that including vertical velocity yields more realistic particle trajectories in complex flow situations. info:eu-repo/grantAgreement/ES/DGA/T32-23R info:eu-repo/grantAgreement/ES/MICINN/PID2022-137334NB-I00 info:eu-repo/grantAgreement/ES/UZ/JIUZ2023-IA-04 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Segovia-Burillo, J. Universidad de Zaragoza (orcid)0009-0005-1896-753X Morales-Hernández, M. Universidad de Zaragoza (orcid)0000-0001-6961-7250 Roeber, V. García-Navarro, P. Universidad de Zaragoza (orcid)0000-0001-8674-1042 5001 600 Universidad de Zaragoza Dpto. Ciencia Tecnol.Mater.Fl. Área Mecánica de Fluidos 205 (2025), 105085 [15 pp.] Adv. water resour. Advances in Water Resources 0309-1708 3304344 http://zaguan.unizar.es/record/162704/files/texto_completo.pdf Versión publicada 2774950 http://zaguan.unizar.es/record/162704/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:162704 articulos driver 2025-10-17-14:14:22 ARTICLE