4.7 Article

Dissipative spatial discretization of a phase field model of multiphase isothermal fluid flow

期刊

COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 90, 期 -, 页码 112-124

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2021.03.013

关键词

Multicomponent multiphase fluids; Phase field models; Regularization; Finite-difference spatial discretization; Energy dissipative discretization; Wetting

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This work focuses on developing a dissipative spatial discretization of a phase field model for describing the dynamics of a multicomponent multiphase isothermal viscous compressible fluid with a resolved interface. The study includes theoretical predictions and 3D simulations using explicit Euler method. The simulation results confirm the theoretical predictions.
This work is devoted to the development of a dissipative spatial discretization of a phase field model describing the dynamics of a multicomponent multiphase isothermal viscous compressible fluid with a resolved interface and effects associated with it (surface tension, wetting). Mass densities of mixture components are used as order parameters. The total Helmholtz free energy incorporates wall free energy providing wetting effects. The model under consideration is preliminary regularized, which allows one to increase time step in explicit time-marching methods. A finite-difference semi-discrete method is proposed and a discrete counterpart of the dissipativity theorem is proven. All the statements remain valid in the absence of regularization as well. 3D simulations of two-phase two-component and three-phase three-component fluids using explicit Euler method are performed. The simulation results confirm theoretical predictions.

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