3 citations · 3 across the 1 of their papers we have counts for
5 papers
Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model
Evan Habbershaw, Cory D. Hauck, Steven M. Wise
A simple iterative approach for solving a set of implicit kinetic moment equations is proposed. This implicit solve is a key component in the IMEX discretization of the multi-speci…
A Thermodynamically Consistent Phase-Field Model and an Entropy Stable Numerical Method for Simulating Two-Phase Flows with Thermocapillary Effects
Yanxiao Sun, Jiang Wu, Maosheng Jiang +2
In this study, we have derived a thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects. This model accommodates variations in physical pro…
Asymptotic Relaxation of Moment Equations for a Multi-Species, Homogeneous BGK Model
Evan Habbershaw, Ryan S. Glasby, Jeffrey R. Haack +2
Multi-species BGK models describe the dynamics of rarefied gases with constituent particles of different elements or compounds with potentially non-trivial velocity distributions.…
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential
Yunzhuo Guo, Cheng Wang, Steven M. Wise +1
A finite difference numerical scheme is proposed and analyzed for the Cahn-Hilliard-Stokes system with Flory-Huggins energy functional. A convex splitting is applied to the chemica…
A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation
Chun Liu, Cheng Wang, Steven M. Wise +2
A second order accurate (in time) numerical scheme is proposed and analyzed for the Poisson-Nernst-Planck equation (PNP) system, reformulated as a non-constant mobility gr…