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Compressible Rayleigh-Taylor Instability of Supersonic Accelerated Surfaces

IP.com Disclosure Number: IPCOM000128205D
Original Publication Date: 1985-Dec-31
Included in the Prior Art Database: 2005-Sep-15
Document File: 9 page(s) / 34K

Publishing Venue

Software Patent Institute

Related People

Carl L. Gardner: AUTHOR [+3]

Abstract

The compressible Rayleigh-Taylor instability of a supersonic accelerated con-tact discontinuity between two gases is studied by numerically solving the two-dimensional Euler equations. The computed solutions exhibit a compli-cated set of nonlinear waves comprised of spike and bubble bow shocks, ter-minal shocks within the spike and bubble, Kelvin-fielmholtz rollup of the spike tip, and contact surface waves. The spike appears to attain a finite growth of aspect ratio approximately equal to 2. The propagation of a super-sonic slab jet is also studied numerically, in order to compare and contra t the jet wave structure with that of the supersonic accelerated surface. 1. This work was supported by tire Applied Mathematical Sciences subprogram of the Office of Energy Research, U.S. Department of Energy under Contract DE-AC02-76ER03077.

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THIS DOCUMENT IS AN APPROXIMATE REPRESENTATION OF THE ORIGINAL.

Compressible Rayleigh-Taylor Instability of Supersonic Accelerated Surfaces

Carl L. Gardner

July 1985 Supported by the Applied Mathematical Sciences subprogram of the office of Energy Research, U. S. Department of Energy under Contract No. DE-AC02-76ER03077

UNCLASSIFIED

DISCLAIMER

This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government~nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes~any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, products or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise, does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof. Printed in U.S.A.

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National Technical Information Service U.S. Department of Commerce 5285 Port Royal Road Springfield, VA 22161

Contents Page

Abstract 1 I. Introduction 2 2. Supersonic Accelerated Surfaces 4

3. Supersonic Jets 8

4. A Description of the Front-Tracking Method 10 Acknowledgements 11 References 12 Figure Captions 13 Figures 14 s COMPRESSIBLE RAYLEIGH-TAYLOR H3 STABILITY _ SUPERSONIC ACCELERATED SURFACES

Carl L. Gardner 1

Courant Institute of Mathematical Sciences New York University New York, New York 10012

ABSTRACT

New York University Page 1 Dec 31, 1985

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Compressible Rayleigh-Taylor Instability of Supersonic Accelerated Surfaces

The compressible Rayleigh-Taylor instability of a supersonic accelerated con-tact discontinuity between two gases is studied by numerically solving the two-dimensional Euler equations. The computed solutions exhibit a compli-cated set of nonlinear waves comprised of spike and bubble bow shocks, ter-minal shocks within the spike and bubble, Kelvin-fielmholtz rollup of the spike tip, and contact surface waves. The spike appears to attain a finite growth of aspect ratio approximately equal to 2. The propagation of a super-sonic slab jet is also studied numerically, in order to compare and contra t the jet wave structure with that of the supersonic accelerated surface.

1. This work was supported by tire Applied Mathematical Sciences subprogram of the Office of Energy Research, U.S. Department of Energy under Contract DE-AC02-76ER03077.

1. Introduction

The classical instabilities of hydrodynamics exhibit interesting new features in the context of supersonic gas dynamics. In the present investigation, we study the compressible Rayleigh- Taylor instability of a supersonic acc...