# 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…

## 1,722 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.

Self-similar diffuse boundary method for phase boundary driven flow

- Physics
- 2022

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…

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.

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