The Rayleigh-Taylor instability: the Variable Density Model (VDM) and the Cahn-Hilliard-Navier-Stokes equations

Add to your list(s) Download to your calendar using vCal

• John Gibbon (Imperial College London)
• Wednesday 12 June 2024, 11:40-12:30
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact nobody.

ADIW04 - Anti-Diffusion in Multiphase and Active Flows

The Rayleigh-Taylor instability (RTI), involving the mixing of a heavy fluid over-laying a lighter, occurs in many situations including laboratory tank and fusion experiments, astro-physical phenomena and multi-phase physics. The approach taken by different schools varies widely. We will briefly review these and then spend the next part discussing the Variable Density Model (VDM) for miscible flows pioneered by Cook and Dimotakis (2001) and Livescu and Ristorcelli (2007). The resulting PDEs, while elegantly coupled to the Navier-Stokes equations, pose severe technical challenges. Finally, in joint work with Nairita Pal, Anupam Gupta and Rahul Pandit, I will also discuss the occurrence of the RTI at immiscible interfaces in multi-phase physics which involves the coupling of the Cahn-Hillard equations to the Navier-Stokes equations

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

This talk is not included in any other list

Note that ex-directory lists are not shown.