3 papers
math.NA2026
A family of second order, linear, unconditionally stable methods for the Cahn-Hilliard-Navier-Stokes equations
Daozhi Han, Nan Jiang, Jonah H. Nissan +1
We present a family of second-order, linear, unconditionally stable implicit-explicit (IMEX) methods for the Cahn-Hilliard-Navier-Stokes (CHNS) equations modeling matched-density t…
math.AP2026
A quasi-incompressible Cahn-Hilliard-Darcy model for two immiscible fluids in porous media
Daozhi Han, Sayantan Sarkar
We derive a quasi-incompressible Cahn-Hilliard-Darcy phase-field model (qCHD) with the logarithmic Flory-Huggins free energy density function for two-phase flows in porous media. T…
math.NA2024
A high-order accurate unconditionally stable bound-preserving numerical scheme for the Cahn-Hilliard-Navier-Stokes equations
Yali Gao, Daozhi Han, Sayantan Sarkar
A high-order numerical method is developed for solving the Cahn-Hilliard-Navier-Stokes equations with the Flory-Huggins potential. The scheme is based on the finite element w…