ANALYSIS OF THE ENERGY DISSIPATION LAWS IN MULTI-COMPONENT PHASE FIELD MODELS

ARKADZ KIRSHTEIN, JAMES BRANNICK, C. H.U.N. LIU

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, two approaches for modeling three-component fluid flows using diffuse interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the coupled systems of partial differential equations that comprise the resulting models. The issue of algebraic and dynamic consistency is investigated. In addition, the two approaches that are presented are compared analytically and numerically.

Original languageEnglish (US)
Pages (from-to)875-885
Number of pages11
JournalCommunications in Mathematical Sciences
Volume18
Issue number3
DOIs
StatePublished - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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