Calculation of Rayleigh-Taylor flows using vortex blobs
Abstract
A modification of a boundary-integral method is used to study the single-scale Rayleigh-Taylor instability for arbitrary Atwood number. Smoothing the Green's function using vortex blobs suppresses singularities in the curvature and other modifications are designed to extend the calculation through several singular events. The method successfully follows the development of a single mode to states with asymptotic velocities for the bubble and spike that depend on Atwood number and are independent of the blob size. Incipient droplet formation is observed.
- Publication:
-
Presented at the 3rd International Conference on Stratified Flows
- Pub Date:
- October 1986
- Bibcode:
- 1986stfl.conf.....K
- Keywords:
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- Asymptotic Methods;
- Green'S Functions;
- Runge-Kutta Method;
- Smoothing;
- Taylor Instability;
- Vortices;
- Flow Velocity;
- Iterative Solution;
- Singularity (Mathematics);
- Fluid Mechanics and Heat Transfer