DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS

@article{Anderson1997DIFFUSEINTERFACEMI,
  title={DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS},
  author={Donald M. Anderson and Geoffrey B. McFadden and A. A. Wheeler},
  journal={Annual Review of Fluid Mechanics},
  year={1997},
  volume={30},
  pages={139-165}
}
We review the development of diffuse-interface models of hydrodynamics and their application to a wide variety of interfacial phenomena. These models have been applied successfully to situations in which the physical phenomena of interest have a length scale commensurate with the thickness of the interfacial region (e.g. near-critical interfacial phenomena or small-scale flows such as those occurring near contact lines) and fluid flows involving large interface deformations and/or topological… 

Figures from this paper

Diffuse-Interface Capturing Methods for Compressible Two-Phase Flows
Simulation of compressible flows became a routine activity with the appearance of shock-/contact-capturing methods. These methods can determine all waves, particularly discontinuous ones. However,
A diffuse-interface method for simulating two-phase flows of complex fluids
Two-phase systems of microstructured complex fluids are an important class of engineering materials. Their flow behaviour is interesting because of the coupling among three disparate length scales:
Diffuse-interface model for smoothed particle hydrodynamics.
TLDR
A SPH model for single-component two-phase fluids that is based on diffuse-interface theory, where there is no need to locate the surface (or interface) or to compute the curvature at and near the interface.
Self-similar diffuse boundary method for phase boundary driven flow
Interactions between an evolving solid and inviscid flow can result in substantial computational complexity, particularly in circumstances involving varied boundary conditions between the solid and
Phase-Field Models for Multi-Component Fluid Flows
In this paper, we review the recent development of phase-field models and their numerical methods for multi-component fluid flows with interfacial phenomena. The models consist of a Navier-Stokes
Diffuse-interface approach to rotating Hele-Shaw flows.
TLDR
Numerical simulations based on a diffuse-interface model for this particular two-phase displacement that capture a variety of pattern-forming behaviors are presented and the role of inertial effects due to the Coriolis force is illustrated and discussed.
...
...

References

SHOWING 1-10 OF 116 REFERENCES
Molecular theory of fluid interfaces
A diffuse-interface description of internal waves in a near-critical fluid
We present a diffuse-interface treatment of the internal gravity waves which have been observed experimentally by Berg et al. in xenon near its thermodynamic critical point. The results are compared
Investigations of a Two-Phase Fluid Model
We study an interface-capturing two-phase fluid model in which the interfacial tension is modelled as a volumetric stress. Since these stresses are obtainable from a Van der Waals-Cahn-Hilliard free
A continuum method for modeling surface tension
Quasi–incompressible Cahn–Hilliard fluids and topological transitions
  • J. Lowengrub, L. Truskinovsky
  • Mathematics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1998
One of the fundamental problems in simulating the motion of sharp interfaces between immiscible fluids is a description of the transition that occurs when the interfaces merge and reconnect. It is
Nucleation of spherical shell-like interfaces by second gradient theory: numerical simulations
The theory of second gradient fluids (which are able to exert shear stresses also in equilibrium conditions) allows us: (i) to describe both the thermodynamical and the mechanical behavior of systems
Dynamics of a diffuse liquid-vapor interface
As a sequel to our previous discussion of a hydrodynamic model for the condensation of a near-critical fluid, we describe the dynamics of a diffuse planar liquid-vapor interface. We show that
...
...