Numerical Study for the Three-Dimensional Rayleigh–Taylor Instability through the TVD/AC Scheme and Parallel Computation
✍ Scribed by X.L. Li; B.X. Jin; J. Glimm
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 706 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
The Rayleigh-Taylor instability is a gravity driven instability of a contact surface between fluids of different densities. The growth of this instability is sensitive to numerical or physical mass diffusion.
(1.1)
For this reason, high resolution of the contact discontinuity is particularly important. In this paper, we address this problem using a second-order TVD finite difference scheme with artificial compres-whre h is the amplitude at time t, h 0 is the initial amplitude, sion. We describe our numerical simulations of the 3D Rayleighand is the growth rate of the perturbation. The growth Taylor instability using this scheme. The numerical solutions are rate is a function of the density ratio, viscosity, surface compared to (a) the exact 2D solution in the linear regime and (b) tension, and boundary conditions [2].
numerical solutions using the TVD scheme and the front tracking As a second regime, the unstable mode becomes nonlinmethod. The computational program is used to study the evolution of a single bubble and 3D bubble merger, i.e., the nonlinear evolu-ear. It grows into bubbles of light fluid and spikes of heavy tion of a single mode and the process of nonlinear mode-mode fluid. The bubble motion in this regime was analyzed by interaction.