Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation
type: Item
instance of: scholarly article
title: Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation
zbMATH Open document ID: 0858.76055
author: Yanyan Li
published in: Journal of Computational Physics
publication date: 1996-10-20T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76E17
Mathematics Subject Classification ID: 76E99
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 937210
zbMATH Keywords: second-order scheme
zbMATH Keywords: evolution of single bubble
zbMATH Keywords: artificial compression
zbMATH Keywords: three-dimensional bubble merger
zbMATH Keywords: nonlinear mode-mode interaction
MaRDI profile type: Publication
full work available at URL: jcph.1996.0142
OpenAlex ID: W2065683255
DOI: 10.1006/JCPH.1996.0142
description: scientific article; zbMATH DE number 937210