Title of article :
A Linear Unconditionally Stable Scheme for the Incompressible Cahn–Hilliard–Navier–Stokes Phase-Field Model
Author/Authors :
Wang ، Xue Department of Pure Mathematics - College of Mathematics - Taiyuan University of Technology , Li ، Kaitai Department of Pure Mathematics - School of Mathematics and Statistics - Xian’jiaotong University , Jia ، Hongen Department of Pure Mathematics - College of Mathematics - Taiyuan University of Technology
Abstract :
In this paper, we propose a linear, unconditional energy-stable time-discretization scheme for Cahn–Hilliard–Navier–Stokes model, which is a phase-field model for two-phase incompressible flow. Based on a Lagrange multiplier approach and pressure projection method, our proposed scheme is linearized. Error analyses are carried out under the finite element frame; numerical experiments are done to demonstrate the effectiveness for the proposed scheme.
Keywords :
Phase , field , Two , phase incompressible flow , Navier–Stokes , Lagrange multiplier approach
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
