On the well-balanced numerical discretization of shallow water equations on unstructured meshes. - Arnaud Duran; Q. Liang; Fabien Marche (J. Comput. Phys., 2013)

Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes. - Arnaud Duran; Fabien Marche; Rodolphe Turpault; Christophe Berthon (J. Comput. Phys., 2015)

An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification. - Frédéric Couderc; Arnaud Duran; Jean-Paul Vila (J. Comput. Phys., 2017)

Improvement of the Hydrostatic Reconstruction Scheme to Get Fully Discrete Entropy Inequalities. - Christophe Berthon; Arnaud Duran; Françoise Foucher; Khaled Saleh; Jean de Dieu Zabsonré (J. Sci. Comput., 2019)

Energy-stable staggered schemes for the Shallow Water equations. - Arnaud Duran; Jean-Paul Vila; Rémy Baraille (J. Comput. Phys., 2020)

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)