Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967367 | Journal of Computational Physics | 2017 | 23 Pages |
Abstract
In this paper, we consider numerical approximations of a hydro-dynamically coupled phase field diblock copolymer model, in which the free energy contains a kinetic potential, a gradient entropy, a Ginzburg-Landau double well potential, and a long range nonlocal type potential. We develop a set of second order time marching schemes for this system using the “Invariant Energy Quadratization” approach for the double well potential, the projection method for the Navier-Stokes equation, and a subtle implicit-explicit treatment for the stress and convective term. The resulting schemes are linear and lead to symmetric positive definite systems at each time step, thus they can be efficiently solved. We further prove that these schemes are unconditionally energy stable. Various numerical experiments are performed to validate the accuracy and energy stability of the proposed schemes.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Qing Cheng, Xiaofeng Yang, Jie Shen,