arrow
Return

A computational parameter study for the three-dimensional shock-bubble interaction

delete2007-12-14
delete170
PRE
AI
J
John Niederhaus *
J
Jeffrey Greenough
J
Jason Oakley
D
Devesh Ranjan
M
Mark Anderson
R
Riccardo Bonazza
DOI:10.1017/S0022112007008749delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
The morphology and time-dependent integral properties of the multifluid compressible flow resulting from the shock-bubble interaction in a gas environment are investigated using a series of three-dimensional multifluid-Eulerian simulations. The bubble consists of a spherical gas volume of radius 2.54cm (128 grid points), which is accelerated by a planar shock wave. Fourteen scenarios are considered: four gas pairings, including Atwood numbers -0.8 < A < 0.7, and shock strengths 1.1 < M <= 5.0. The data are queried at closely spaced time intervals to obtain the time-dependent volumetric compression, mean bubble fluid velocity, circulation and extent of mixing in the shocked-bubble flow. Scaling arguments based on various properties computed from one-dimensional gasdynamics are found to collapse the trends in these quantities successfully for fixed A. However, complex changes in the shock-wave refraction pattern introduce effects that do not scale across differing gas pairings, and for some scenarios with A > 0.2, three-dimensional (non-axisymmetric) effects become particularly significant in the total enstrophy at late times. A new model for the total velocity circulation is proposed, also based on properties derived from one-dimensional gasdynamics, which compares favourably with circulation data obtained from calculations, relative to existing models. The action of nonlinear-acoustic effects and primary and secondary vorticity production is depicted in sequenced visualizations of the density and vorticity fields, which indicate the significance of both secondary vorticity generation and turbulent effects, particularly for M > 2 and A > 0.2. Movies are available with the online version of the paper.
Keywords:
ADAPTIVE MESH REFINEMENT
CIRCULATION DEPOSITION
INTERSTELLAR CLOUDS
REFRACTION
WAVES
INSTABILITY
GENERATION
PROPAGATION
DYNAMICS
MODELS

Journal

Journal of Fluid Mechanics cover
Journal of Fluid Mechanics
IF:
3.9
Papers:
2.0W
Citations:
9.4W

Organization

U
university of wisconsin madison
Scholars:
3.8W
Papers: 2.9W
Citations: 53
University of Wisconsin System cover
University of Wisconsin System
Scholars:
6.7W
Papers: 5.8W
Citations: 382