Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density

Phase-Field Models for Multi-Component Fluid Flows

(2012) Junseok Kim   Communications in Computational Physics

Efficient spectral-Galerkin methods for systems of coupled second-order equations and their applications

(2012) Feng Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography

(2011) Ulrik S. Fjordholm et al.   JOURNAL OF COMPUTATIONAL PHYSICS

THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES

(2011) HELMUT ABELS et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

(2011) C. Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows

(2010) Jie Shen et al.   CHINESE ANNALS OF MATHEMATICS SERIES B

A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

(2010) Jie Shen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Existence of Weak Solutions for a Diffuse Interface Model for Viscous, Incompressible Fluids with General Densities

(2009) Helmut Abels   COMMUNICATIONS IN MATHEMATICAL PHYSICS

A systematic methodology for constructing high-order energy stable WENO schemes

(2009) Nail K. Yamaleev et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A splitting method for incompressible flows with variable density based on a pressure Poisson equation

(2009) J.-L. Guermond et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow

(2008) Roland Becker et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS