On sharp interface limits for diffuse interface models for two-phase flows
نویسندگان
چکیده
منابع مشابه
On sharp interface limits for diffuse interface models for two-phase flows
We discuss the sharp interface limit of a diffuse interface model for a two-phase flow of two partly miscible viscous Newtonian fluids of different densities, when a certain parameter " > 0 related to the interface thickness tends to zero. In the case that the mobility stays positive or tends to zero slower than linearly in "we will prove that weak solutions tend to varifold solutions of a corr...
متن کاملA sharp interface method for incompressible two-phase flows
We present a sharp interface method for computing incompressible immiscible two-phase flows. It couples the Level-Set and Volume-of-Fluid techniques and retains their advantages while overcoming their weaknesses. It is stable and robust even for large density and viscosity ratios on the order of 1000 to 1. The numerical method is an extension of the second-order method presented by Sussman (200...
متن کاملTime integration for diffuse interface models for two-phase flow
Article history: Received 10 June 2013 Received in revised form 21 November 2013 Accepted 29 December 2013 Available online 7 January 2014
متن کاملThermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities
A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is frame indifferent. Moreover, it is generalized to situations with a soluble species. Using the method of matched asymptotic expansions we derive various sharp in...
متن کاملThermodynamically consistent diffuse interface models for incompressible two-phase flows with different densities
A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is also generalized to situations with a soluble species. Using the method of matched asymptotic expansions we derive various sharp interface models in the limit wh...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Interfaces and Free Boundaries
سال: 2014
ISSN: 1463-9963
DOI: 10.4171/ifb/324