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Application of Front Tracking to Two Dimensional Curved Detonation Fronts

IP.com Disclosure Number: IPCOM000128204D
Original Publication Date: 1985-Dec-31
Included in the Prior Art Database: 2005-Sep-15
Document File: 9 page(s) / 30K

Publishing Venue

Software Patent Institute

Related People

Bruce Bukiet: AUTHOR [+3]

Abstract

1 2. Elementary Theory 1

This text was extracted from a PDF file.
This is the abbreviated version, containing approximately 15% of the total text.

Page 1 of 9

THIS DOCUMENT IS AN APPROXIMATE REPRESENTATION OF THE ORIGINAL.

Application of Front Tracking to Two Dimensional Curved Detonation Fronts

Bruce Bukiet

June 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, product, 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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Contents

Abstract iv.

1. Introduction 1 2. Elementary Theory 1

3. Solution of One Dimensional Riemann Problems with Combustion 3

4. The One Dimensional Computation with Cylindrical Symmetry 5 5. The Two Dimensional Front Tracking Method 5 6. Results: Strong and CJ Detonations 6 7. Conclusion g 8. Acknowledgements 8 References 9 Figures Application of Front Tracking to Two Dimensional Carved Detonation Fronts

Bruce Bukiet 1,2

Courant Institute of Mathematical Silences New York University New York, N.Y. 10012

ABSTRAC'd

New York University Page 1 Dec 31, 1985

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Application of Front Tracking to Two Dimensional Curved Detonation Fronts

The method of front tracking is applied to cylindrically symmetric detona-tions. This two dimensional method is compared to a one dimensional ran-dom choice computation in the radial direction which explicitly utilizes the symmetry of the problem. The model of detonations is the Chapman-Jouguet thin flame model. The random choice computation gives a solution of high accuracy of these model equations and is thus taken as exact. We present results demonstrating the high quality of the front tracking solution, even on coarse grids. The solution at the front and in the interior converges linearly to the exact solution. The computation in the interior used a second order method (Lax-Wendroff) and the linear convergence appears to result from the fact that the solution in the interior (i.e. excluding discontinuities) is Cl but not CZ. This is due to "corners" in the solution, located at the edges of a rarefaction wave. Application of Front Tracing to Two Dimensional...