Numerical Study for the Three-Dimensional Rayleigh–Taylor Instability through the TVD/AC Scheme and Parallel Computation
Copyright policy )Numerical Study for the Three-Dimensional Rayleigh–Taylor Instability through the TVD/AC Scheme and Parallel Computation
We address the title problem using a second-order TVD finite difference scheme with artificial compression. We describe our numerical simulations of the three-dimensional Rayleigh-Taylor instability using this scheme. The numerical solutions are compared to (a) the exact two-dimensional solution in the linear regime and (b) numerical solutions using the TVD scheme and the front tracking method. The computational program is used to study the evolution of a single bubble and three-dimensional bubble merger, i.e., the nonlinear evolution of a single mode and the process of nonlinear mode-mode interaction.
- Purdue University West Lafayette United States
- Academia Sinica Taiwan
- DePaul University United States
- Indiana University – Purdue University Indianapolis United States
- Purdue University in Indianapolis United States
second-order scheme, artificial compression, Hydrodynamic stability, evolution of single bubble, three-dimensional bubble merger, Parallel numerical computation, nonlinear mode-mode interaction, Finite difference methods applied to problems in fluid mechanics, Interfacial stability and instability in hydrodynamic stability
second-order scheme, artificial compression, Hydrodynamic stability, evolution of single bubble, three-dimensional bubble merger, Parallel numerical computation, nonlinear mode-mode interaction, Finite difference methods applied to problems in fluid mechanics, Interfacial stability and instability in hydrodynamic stability
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