Dissipative spatial discretization of a phase field model of multiphase multicomponent isothermal fluid flow
- Resource Type
- Authors
- V.A. Balashov
- Source
- Computers & Mathematics with Applications. 90:112-124
- Subject
- Work (thermodynamics)
Discretization
Field (physics)
010103 numerical & computational mathematics
Mechanics
01 natural sciences
010101 applied mathematics
Surface tension
Euler method
Computational Mathematics
symbols.namesake
Computational Theory and Mathematics
Modeling and Simulation
Helmholtz free energy
Dissipative system
symbols
Fluid dynamics
0101 mathematics
Mathematics
- Language
- ISSN
- 0898-1221
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.