HORSES3D is a multiphysics environment where the compressible Navier-Stokes equations, the incompressible Navier–Stokes equations, the Cahn–Hilliard equation and entropy–stable variants are solved.

Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogenous porous media by P. Jenny and S.H. Lee.pdf Adaptive mixed finite element methods for Darcy ...