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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.NA2026
A superconvergent hybridizable discontinuous Galerkin method for the convective Cahn--Hilliard equation
Gang Chen, Daozhi Han, Jiaxuan Liu +2
We propose a hybridizable discontinuous Galerkin (HDG) method combined with convex-concave splitting for the temporal discretization of the convective Cahn-Hilliard equation. The c…