An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase–field model

Qing Xia, Junseok Kim, Binhu Xia, Yibao Li

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper proposes an unconditionally energy stable method for incompressible heat conductive fluids under the phase–field framework. We combine the complicated system by the Navier–Stokes equation, Cahn–Hilliard equation, and heat transfer equation. A Crank–Nicolson type scheme is employed to discretize the governing equation with the second-order temporal accuracy. The unconditional energy stability of the proposed scheme is proved, which means that a significantly larger time step can be used. The Crank–Nicolson type discrete framework is applied to obtain the second-order temporal accuracy. We perform the biconjugate gradient method and Fourier transform method to solve the discrete system. Several computational tests are performed to show the efficiency and robustness of the proposed method.

Original languageEnglish
Pages (from-to)26-39
Number of pages14
JournalComputers and Mathematics with Applications
Volume123
DOIs
Publication statusPublished - 2022 Oct 1

Keywords

  • Navier-Stokes equation
  • Phase-field model
  • Two-phase thermodynamic flow
  • Unconditionally energy stable

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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