"Conservative Unconditionally Stable Decoupled Numerical Schemes for th" by Wenbin Chen, Daozhi Han et al.
 

Abstract

We propose two mass and heat energy conservative, unconditionally stable, decoupled numerical algorithms for solving the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system that models thermal convection of two-phase flows in superposed free flow and porous media. The schemes totally decouple the computation of the Cahn-Hilliard equation, the Darcy equations, the heat equation, the Navier-Stokes equations at each time step, and thus significantly reducing the computational cost. We rigorously show that the schemes are conservative and energy-law preserving. Numerical results are presented to demonstrate the accuracy and stability of the algorithms.

Department(s)

Mathematics and Statistics

Publication Status

Early View: Online Version of Record before inclusion in an issue

Comments

Daozhi Han acknowledges support from NSF-DMS-1912715.

First Published 10 Sep 2021

Keywords and Phrases

Convection; Phase Field Model; Two-Phase Flow; Unconditional Stability

International Standard Serial Number (ISSN)

1098-2426; 0749-159X

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2021 The Authors, All rights reserved.

Creative Commons Licensing

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Publication Date

10 Sep 2021

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