Publications

International Journals

• C. Caballero-Cárdenas, I. Gómez-Bueno, A. Del Grosso, J. Koellermeier, T. Morales de Luna.  
  A semi-implicit exactly fully well-balanced relaxation scheme for the Shallow Water Linearized Moment Equations.
  Comput. Methods Appl. Mech. Engrg., 437, 117788, ISSN 0045-7825, 2025. https://doi.org/10.1016/j.cma.2025.117788
• A. Del Grosso, M. J. Castro Díaz, A. Chan, G. Gallice, R. Loubère, P.-H. Maire.  
  A well-balanced, positive, entropy-stable, and multi-dimensional-aware finite volume scheme for 2D shallow-water equations with unstructured grids.
  Journal of Computational Physics, 503, 112829, ISSN 0021-9991, 2024. https://doi.org/10.1016/j.jcp.2024.112829
• A. Del Grosso, M. J. Castro Díaz, C. Chalons and T. Morales de Luna.  
  On Lagrange-Projection Schemes for Shallow Water Flows Over Movable Bottom with Suspended and Bedload Transport.
  Numerical Mathematics: Theory, Methods and Applications,16 (4),1087-1126, 2023. https://doi.org/10.4208/nmtma.OA-2023-0082
• A. Del Grosso, M. J. Castro Díaz, C. Chalons and T. Morales de Luna.  
  On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations.
  Applied Mathematics and Computation, 442, 2023, 127702, ISSN 0096-3003.  https://doi.org/10.1016/j.amc.2022.127702 
•  C. Chalons and A. Del Grosso.
  Exploring different possibilities for second-order well-balanced Lagrange-Projection numerical schemes applied to Shallow Water Exner equations.
  International Journal for Numerical Methods in Fluids, 94(6): 505– 535, 2022. https://doi.org/10.1002/fld.5064
• C. Chalons and A. Del Grosso.
  A second-order well-balanced Lagrange-Projection scheme for Shallow Water Exner equations in 1D and 2D.
  Communications in Mathematical Sciences. 20(7): 1839-1873, 2022.  https://dx.doi.org/10.4310/CMS.2022.v20.n7.a3
• C. Chalons, A. Del Grosso and E. F. Toro.
  Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity.
  Journal of Computational Physics, Volume 457, 2022, 111071, ISSN 0021-9991. https://doi.org/10.1016/j.jcp.2022.111071
• A. Del Grosso and C. Chalons.
  Second-order well balanced Lagrange-Projection schemes for Blood Flow Equations.
  Calcolo 58, 43, 2021. https://doi.org/10.1007/s10092-021-00434-5

PhD Thesis

Numerical simulation of geophysical flows using high-order and well-balanced Lagrange-Projection methods.