A Hybrid High-Order method for the convective Cahn-Hilliard problem in mixed form
This work provides a new numerical method for solving the convective Cahn-Hilliard problem, which is relevant for computational scientists working on phase-field models.
The paper proposes a Hybrid High-Order method for the convective Cahn-Hilliard problem, supporting arbitrary approximation orders on general meshes. Numerical validation shows robustness with respect to the Péclet number.
We propose a novel Hybrid High-Order method for the Cahn-Hilliard problem with convection. The proposed method is valid in two and three space dimensions, and it supports arbitrary approximation orders on general meshes containing polyhedral elements and nonmatching interfaces. An extensive numerical validation is presented, which shows robustness with respect to the Péclet number.