5 papers · 1 filter
Efficient linear schemes for a penalized ternary Cahn-Hilliard system
Justin Swain, Giordano Tierra
In this work we introduce novel numerical schemes for a penalized version of the ternary Cahn-Hilliard system for the purpose of creating accurate and efficient numerical schemes o…
Unconditionally Energy Stable Second Order Numerical Scheme for a Microemulsion model
Natasha S. Sharma, Giordano Tierra
We present a numerical scheme for solving a sixth-order Cahn-Hilliard type equation that captures the dynamics of phase transitions in a ternary mixture consisting of two immiscibl…
Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility
Francisco Guillén-González, Giordano Tierra
In this work we present two new numerical schemes to approximate the Navier-Stokes-Cahn-Hilliard system with degenerate mobility using finite differences in time and finite element…
Linear Numerical Schemes for a -Tensor System for Nematic Liquid Crystals
Justin Swain, Giordano Tierra
In this work, we present three linear numerical schemes to model nematic liquid crystals using the Landau-de Gennes -tensor theory. The first scheme is based on using a…
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility
Francisco Guillen-Gonzalez, Giordano Tierra
Two new numerical schemes to approximate the Cahn-Hilliard equation with degenerate mobility (between stable values 0 and 1) are presented, by using two different non-centered appr…