A Saint Venant model for gravity driven shallow water flows with variable density and compressibility effects. - Tomás Morales de Luna (Math. Comput. Model., 2008)

Semi-discrete Entropy Satisfying Approximate Riemann Solvers. The Case of the Suliciu Relaxation Approximation. - François Bouchut; Tomás Morales de Luna (J. Sci. Comput., 2009)

A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows. - François Bouchut; Tomás Morales de Luna (SIAM J. Numer. Anal., 2010)

A Duality Method for Sediment Transport Based on a Modified Meyer-Peter & Müller Model. - Tomás Morales de Luna; Manuel Jesús Castro Díaz; Carlos Parés Madroñal (J. Sci. Comput., 2011)

Reliability of first order numerical schemes for solving shallow water system over abrupt topography. - Tomás Morales de Luna; Manuel Jesús Castro Díaz; Carlos Parés (Appl. Math. Comput., 2013)

A multilayer shallow water system for polydisperse sedimentation. - Enrique Domingo Fernández-Nieto; E. H. Koné; Tomás Morales de Luna; Raimund Bürger (J. Comput. Phys., 2013)

A HLLC scheme for Ripa model. - Carlos Sánchez-Linares; Tomás Morales de Luna; Manuel Jesús Castro Díaz (Appl. Math. Comput., 2016)

Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme. - Cipriano Escalante; Tomás Morales de Luna; Manuel J. Castro (Appl. Math. Comput., 2018)

A Fully Well-Balanced Lagrange-Projection-Type Scheme for the Shallow-Water Equations. - Manuel Jesús Castro Díaz; Christophe Chalons; Tomás Morales de Luna (SIAM J. Numer. Anal., 2018)

An Efficient Two-Layer Non-hydrostatic Approach for Dispersive Water Waves. - Cipriano Escalante; Enrique Domingo Fernández-Nieto; Tomás Morales de Luna; Manuel Jesús Castro Díaz (J. Sci. Comput., 2019)

Shallow Water Moment models for bedload transport problems. - José Garres-Díaz; Manuel Jesús Castro Díaz; Julian Koellermeier; Tomás Morales de Luna (CoRR, 2020)

A General Non-hydrostatic Hyperbolic Formulation for Boussinesq Dispersive Shallow Flows and Its Numerical Approximation. - Cipriano Escalante; Tomás Morales de Luna (J. Sci. Comput., 2020)

A Weakly Non-hydrostatic Shallow Model for Dry Granular Flows. - José Garres-Díaz; Enrique Domingo Fernández-Nieto; Anne Mangeney; Tomás Morales de Luna (J. Sci. Comput., 2021)

Numerical Simulations of a Dispersive Model Approximating Free-Surface Euler Equations. - Cipriano Escalante Sánchez; Enrique Domingo Fernández-Nieto; Tomás Morales de Luna; Yohan Penel; Jacques Sainte-Marie (J. Sci. Comput., 2021)

In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension. - Ernesto Pimentel-García; Manuel J. Castro; Christophe Chalons; Tomás Morales de Luna; Carlos Parés (J. Comput. Phys., 2022)

An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density. - Ernesto Guerrero Fernández; Manuel Jesús Castro Díaz; Michael Dumbser; Tomás Morales de Luna (J. Sci. Comput., 2022)

Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system. - C. Caballero-Cárdenas; Manuel J. Castro; Tomás Morales de Luna; María Luz Muñoz-Ruiz (Appl. Math. Comput., 2023)

On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations. - Alessia Del Grosso; Manuel Jesús Castro Díaz; Christophe Chalons; Tomás Morales de Luna (Appl. Math. Comput., 2023)

Non-hydrostatic layer-averaged approximation of Euler system with enhanced dispersion properties. - Cipriano Escalante; Enrique Domingo Fernández-Nieto; José Garres-Díaz; Tomás Morales de Luna; Yohan Penel (Comput. Appl. Math., 2023)

Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities. - Christophe Berthon; Manuel Jesús Castro Díaz; Arnaud Duran; Tomás Morales de Luna; Khaled Saleh (J. Sci. Comput., 2023)

Vertically averaged and moment equations: New derivation, efficient numerical solution and comparison with other physical approximations for modeling non-hydrostatic free surface flows. - Cipriano Escalante; Tomás Morales de Luna; Francisco N. Cantero-Chinchilla; Oscar Castro-Orgaz (J. Comput. Phys., 2024)

A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System. - C. Caballero-Cárdenas; Manuel Jesús Castro Díaz; Christophe Chalons; Tomás Morales de Luna; María Luz Muñoz-Ruiz (SIAM J. Sci. Comput., 2024)

A semi-implicit exactly fully well-balanced relaxation scheme for the Shallow Water Linearized Moment Equations. - C. Caballero-Cárdenas; I. Gómez-Bueno; Alessia Del Grosso; Julian Koellermeier; Tomás Morales de Luna (CoRR, 2025)