Simulation of Rayleigh-Taylor flows using vortex blobs
1988; Elsevier BV; Volume: 76; Issue: 1 Linguagem: Inglês
10.1016/0021-9991(88)90131-3
ISSN1090-2716
Autores Tópico(s)Fluid Dynamics and Heat Transfer
ResumoAn inviscid boundary-integral method is modified in order to study the single-scale Rayleigh-Taylor instability for arbitrary Atwood number. The primary modification uses vortex blobs to smooth the Green's function and suppress a finite time singularity in the curvature. Additional modifications to earlier codes such as using second-order central differences along the interface to accommodate spikes in the vorticity and spreading the nodes evenly along the interface to suppress clustering of nodes are designed to maintain resolution and accuracy. To achieve second-order accuracy in time when the nodes are spread, an extra predictor step is needed that shifts the nodes before the variables are advanced. The method successfully follows the development of a single mode to states with asymptotic velocities for the bubble and spike that depend on the Atwood number and are independent of the blob size. Incipient droplet formation is observed.C 1988 Academic Press, Inc.
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