A Second Order, Linear, Unconditionally Stable, Crank-Nicolson-Leapfrog Scheme for Phase Field Models of Two-Phase Incompressible Flows
In this article we propose a second order, linear, unconditionally stable, implicit-explicit scheme based on the Crank-Nicolson-Leapfrog discretization and the artificial compression method for solving phase field models of two-phase incompressible flows. We show that the scheme is unconditionally long-time stable. Numerical examples are provided to demonstrate the accuracy and long-time stability.
D. Han and N. Jiang, "A Second Order, Linear, Unconditionally Stable, Crank-Nicolson-Leapfrog Scheme for Phase Field Models of Two-Phase Incompressible Flows," Applied Mathematics Letters, vol. 108, Elsevier Ltd, Oct 2020.
The definitive version is available at https://doi.org/10.1016/j.aml.2020.106521
Mathematics and Statistics
Keywords and Phrases
Artificial compression; Cahn-Hilliard-Navier-Stokes; Finite element method; Phase field models; Unconditional stability
International Standard Serial Number (ISSN)
Article - Journal
© 2020 Elsevier Ltd, All rights reserved.
01 Oct 2020