FULLY 3D RAYLEIGH-TAYLOR INSTABILITY IN A BOUSSINESQ FLUID

被引：8

作者：

Walters, S. J. ^{[1
]}

Forbes, L. K. ^{[1
]}

机构：

[1] Univ Tasmania, Sch Math & Phys, POB 37, Hobart, Tas 7001, Australia

来源：

ANZIAM JOURNAL | 2019年 / 61卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

viscous flow; Rayleigh-Taylor instability; linearization; spectral method; SIMULATION;

D O I：

10.1017/S1446181119000087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Rayleigh-Taylor instability occurs when a heavier fluid overlies a lighter fluid, and the two seek to exchange positions under the effect of gravity. We present a linearized theory for arbitrary three-dimensional (3D) initial disturbances that grow in time, and calculate the evolution of the interface for early times. A new spectral method is introduced for the fully 3D nonlinear problem in a Boussinesq fluid, where the interface between the light and heavy fluids is approximated with a smooth but rapid density change in the fluid. The results of large-scale numerical calculation are presented in fully 3D geometry, and compared and contrasted with the early-time linearized theory.

引用

页码：286 / 304

页数：19

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