# 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…

## 1,742 Citations

### Diffuse-Interface Capturing Methods for Compressible Two-Phase Flows

- Engineering
- 2018

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

- PhysicsJournal of Fluid Mechanics
- 2004

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.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

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.

### A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension

- PhysicsJ. Comput. Phys.
- 2017

### Phase-Field Models for Multi-Component Fluid Flows

- Mathematics
- 2012

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.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

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.

### On the use of a diffuse-interface model for the simulation of rigid particles in two-phase Newtonian and viscoelastic fluids

- Physics, Engineering
- 2017

### Diffuse Interface (D.I.) Model for Multiphase Flows

- Physics
- 2012

We review the diffuse interface model for fluid flows, where all quantities, such as density and composition, are assumed to vary continuously in space. This approach is the natural extension of van…

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