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

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

doi:10.4310/CMS.2020.v18.n3.a13

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

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

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2 Scopus citations

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 language	English (US)
Pages (from-to)	875-885
Number of pages	11
Journal	Communications in Mathematical Sciences
Volume	18
Issue number	3
DOIs	https://doi.org/10.4310/CMS.2020.v18.n3.a13
State	Published - 2020

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.4310/CMS.2020.v18.n3.a13

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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.",

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AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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