A Second Order, Linear, Unconditionally Stable, Crank-Nicolson-Leapfrog Scheme for Phase Field Models of Two-Phase Incompressible Flows

Author

Daozhi Han, Missouri University of Science and TechnologyFollow
Nan Jiang, Missouri University of Science and TechnologyFollow

Abstract

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.

Recommended Citation

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

Department(s)

Mathematics and Statistics

Research Center/Lab(s)

Center for High Performance Computing Research

Comments

Supported by US National Science FoundationDMS-1912715.

Keywords and Phrases

Artificial compression; Cahn-Hilliard-Navier-Stokes; Finite element method; Phase field models; Unconditional stability

International Standard Serial Number (ISSN)

0893-9659

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2020 Elsevier Ltd, All rights reserved.

Publication Date

01 Oct 2020