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APPLICATIONS OF FRONT TRACKING TO COMBUSTION, SURFACE INSTABILITIES AND TWO DIMENSIONAL RIEMANN PROBLEMS: A CONFERENCE REPORT

IP.com Disclosure Number: IPCOM000128207D
Original Publication Date: 1985-Dec-31
Included in the Prior Art Database: 2005-Sep-15
Document File: 11 page(s) / 41K

Publishing Venue

Software Patent Institute

Related People

B. Bukiet: AUTHOR [+10]

Abstract

The method of front tracking is applied to problems involving curved detonation fronts, surface instabilities and two-dimensional Riemann prob-lems. The detonation problems include detonation fronts with and without cylindrical symmetry; comparisons with one-dimensional models are made. The analysis of interface instabilities focuses on the compressible Rayleigh-Taylor instability of a supersonic accelerated contact discontinuity between two gases and the propagation of a supersonic slab jet. Theoretical notions for an S matrix theory for general multi-dimensional hyperbolic conservation laws and the numerical implementation of computer programs which solve certain two-dimensional Riemann problems are also discussed.

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THIS DOCUMENT IS AN APPROXIMATE REPRESENTATION OF THE ORIGINAL.

APPLICATIONS OF FRONT TRACKING TO COMBUSTION, SURFACE INSTABILITIES AND TWO DIMENSIONAL RIEMANN PROBLEMS: A CONFERENCE REPORT

B. Bukiet, C. L. Gardner, J. Glimm, Jo Grove, J. Jones, O. McBryan, R. Menikoff; and D. H. Sharp

August 198! Supported by the Applied Mathematical Sciences subprogram of the Office of Energy Research, U. S. Department of Energy under Contract No. DE-AC02-76ER03077

Courant Institute of Mathematical Sciences, t New York University, New York, NY

Los Alamos National Laboratory, Los Alamos, NM

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.

Available from

National Technical Information Service U.S. Department of Commerce 5285 Port Royal Road Springfield, VA Applications of Front Tracking to Combustion, Surface Instabilities and Two Dimensional Riemann Problems: A Conference Report

Bruce Bukiet s* s Carl L. Gardner 2 James Glimm 1~ 2, s John Grove 3 James Jones s' S Oliver McBryan 1. 2, 6,

Courant Institute of Mathematics New York University New York, New York Ralph hlenikoff 4 David H. ,Sharp 4

Los Alamos National Laboratory Los Alamos, New Mexico 87545

ABSTRACT

New York University Page 1 Dec 31, 1985

Page 2 of 11

APPLICATIONS OF FRONT TRACKING TO COMBUSTION, SURFACE INSTABILITIES AND TWO DIMENSIONAL RIEMANN

PROBLEMS: A CONFERENCE REPORT

The method of front tracking is applied to problems involving curved detonation fronts, surface instabilities and two-dimensional Riemann prob-lems. The detonation problems include detonation fronts with and without cylindrical symmetry; comparisons with one-dimensional models are made. The analysis of interface instabilities focuses on the compressible Rayleigh- Taylor instability of a supersonic accelerated contact discontinuity between two gases and the propagation of a supersonic slab jet. Theoretical notions for an S matrix theory for general multi- dimensional hyperbolic conservation laws and the numerical implementation of computer programs which solve certain two-dimensional Riemann problems are also discussed.

1. Supported in part by the National Scien...