%0 Journal Article 
%A Acosta Soba, Daniel
%A Guillén González, Francisco
%A Rodríguez Galván, José Rafael
%T An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
%D 2022
%@ 1572-9265
%U http://hdl.handle.net/10498/27311
%X The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In this work, we present a new upwind discontinuous Galerkin scheme for the convective Cahn-Hilliard model with degenerate mobility which preserves the maximum principle and prevents non-physical spurious oscillations. Furthermore, we show some numerical experiments in agreement with the previous theoretical results. Finally, numerical comparisons with other schemes found in the literature are also carried out.
%K Discontinuous Galerkin
%K Upwind scheme
%K Diffuse interface
%K Convection
%K Degenerate mobility
%~ Universidad de Cádiz