Holdings: Shock waves and explosions

Shock waves and explosions:

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Bibliographic Details
Main Author:	Sachdev, P. L. (Author)
Format:	Book
Language:	English
Published:	Boca Raton [u.a.] Chapman & Hall/CRC 2004
Series:	Chapman & Hall CRC monographs and surveys in pure and applied mathematics 132
Subjects:	Mathematik Differential equations, Hyperbolic > Numerical solutions Shock waves > Mathematics Stoßwelle Explosion
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 265 - 274
Physical Description:	XI, 278 S. graph. Darst.
ISBN:	1584884223

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MARC


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adam_text	K CHAPMAN & HALL/CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS 132 SHOCK WAVES AND EXPLOSIONS P. L SACHDEV CHAPMAN & HALL/CRC A CRC PRESS COMPANY BOCA RATON LONDON. NEW YORK WASHINGTON, D.C. CONTENTS PREFACE IX ACKNOWLEDGEMENTS X 1 INTRODUCTION 1 2 THE PISTON PROBLEM 15 2.1 INTRODUCTION 15 2.2 THE PISTON PROBLEM: ITS CONNECTION WITH THE BLAST WAVE . . 17 2.3 PISTON PROBLEM IN THE PHASE PLANE 23 2.4 CAUCHY PROBLEM IN RELATION TO AUTOMODEL SOLUTIONS OF ONE-DIMENSIONAL NONSTEADY GAS FLOWS 28 2.5 UNIFORM EXPANSION OF A CYLINDER OR SPHERE INTO STILL AIR: AN ANALYTIC SOLUTION OF THE BOUNDARY VALUE PROBLEM 33 2.6 PLANE GAS DYNAMICS IN TRANSFORMED CO-ORDINATES 37 3 THE BLAST WAVE 49 3.1 INTRODUCTION 49 3.2 APPROXIMATE ANALYTIC SOLUTION OF THE BLAST WAVE PROBLEM INVOLVING SHOCKS OF MODERATE STRENGTH 56 3.3 BLAST WAVE IN LAGRANGIAN CO-ORDINATES 79 3.4 POINT EXPLOSION IN AN EXPONENTIAL ATMOSPHERE 90 3.5 ASYMPTOTIC BEHAVIOUR OF BLAST WAVES AT A HIGH ALTITUDE . . 99 3.6 STRONG EXPLOSION INTO A POWER LAW DENSITY MEDIUM 103 3.7 STRONG EXPLOSION INTO POWER LAW NONUNIFORM MEDIUM: SELF- SIMILAR SOLUTIONS OF THE SECOND KIND 110 3.8 POINT EXPLOSION WITH HEAT CONDUCTION 118 3.9 THE BLAST WAVE AT A LARGE DISTANCE 130 VII VIII CONTENTS 4 SHOCK PROPAGATION THEORIES: SOME INITIAL STUDIES 137 4.1 SHOCK WAVE THEORY OF KIRKWOOD AND BETHE 137 4.2 THE BRINKLEY-KIRKWOOD THEORY 144 4.3 PRESSURE BEHIND THE SHOCK: A PRACTICAL FORMULA 150 5 SOME EXACT ANALYTIC SOLUTIONS OF GASDYNAMIC EQUATIONS INVOLVING SHOCKS 153 5.1 EXACT SOLUTIONS OF SPHERICALLY SYMMETRIC FLOWS IN EULERIAN CO-ORDINATES 153 5.2 EXACT SOLUTIONS OF GASDYNAMIC EQUATIONS IN LAGRANGIAN CO- ORDINATES 163 5.3 EXACT SOLUTIONS OF GASDYNAMIC EQUATIONS WITH NONLINEAR PARTICLE VELOCITY 170 6 CONVERGING SHOCK WAVES 177 6.1 CONVERGING SHOCK WAVES: THE IMPLOSION PROBLEM 177 6.2 SPHERICAL CONVERGING SHOCK WAVES: SHOCK EXPONENT VIA THE PRESSURE MAXIMUM 183 6.3 CONVERGING SHOCK WAVES CAUSED BY SPHERICAL OR CYLINDRICAL PISTON MOTIONS 188 7 SPHERICAL BLAST WAVES PRODUCED BY SUDDEN EXPANSION OF A HIGH PRESSURE GAS 195 7.1 INTRODUCTION 195 7.2 EXPANSION OF A HIGH PRESSURE GAS INTO AIR: A SERIES SOLUTION 197 7.3 BLAST WAVE CAUSED BY THE EXPANSION OF A HIGH PRESSURE GAS SPHERE: AN APPROXIMATE ANALYTIC SOLUTION 208 8 NUMERICAL SIMULATION OF BLAST WAVES 225 8.1 INTRODUCTION 225 8.2 A BRIEF REVIEW OF DIFFERENCE SCHEMES FOR HYPERBOLIC SYSTEMS 228 8.3 BLAST WAVE COMPUTATIONS VIA ARTIFICIAL VISCOSITY .... 233 8.4 CONVERGING CYLINDRICAL SHOCK WAVES 242 8.5 NUMERICAL SIMULATION OF EXPLOSIONS USING TOTAL VARIATION DIMINISHING SCHEME 253 REFERENCES 265 INDEX 275
adam_txt	K CHAPMAN & HALL/CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS 132 SHOCK WAVES AND EXPLOSIONS P. L SACHDEV CHAPMAN & HALL/CRC A CRC PRESS COMPANY BOCA RATON LONDON. NEW YORK WASHINGTON, D.C. CONTENTS PREFACE IX ACKNOWLEDGEMENTS X 1 INTRODUCTION 1 2 THE PISTON PROBLEM 15 2.1 INTRODUCTION 15 2.2 THE PISTON PROBLEM: ITS CONNECTION WITH THE BLAST WAVE . . 17 2.3 PISTON PROBLEM IN THE PHASE PLANE 23 2.4 CAUCHY PROBLEM IN RELATION TO AUTOMODEL SOLUTIONS OF ONE-DIMENSIONAL NONSTEADY GAS FLOWS 28 2.5 UNIFORM EXPANSION OF A CYLINDER OR SPHERE INTO STILL AIR: AN ANALYTIC SOLUTION OF THE BOUNDARY VALUE PROBLEM 33 2.6 PLANE GAS DYNAMICS IN TRANSFORMED CO-ORDINATES 37 3 THE BLAST WAVE 49 3.1 INTRODUCTION \ 49 3.2 APPROXIMATE ANALYTIC SOLUTION OF THE BLAST WAVE PROBLEM INVOLVING SHOCKS OF MODERATE STRENGTH 56 3.3 BLAST WAVE IN LAGRANGIAN CO-ORDINATES 79 3.4 POINT EXPLOSION IN AN EXPONENTIAL ATMOSPHERE 90 3.5 ASYMPTOTIC BEHAVIOUR OF BLAST WAVES AT A HIGH ALTITUDE . . 99 3.6 STRONG EXPLOSION INTO A POWER LAW DENSITY MEDIUM 103 3.7 STRONG EXPLOSION INTO POWER LAW NONUNIFORM MEDIUM: SELF- SIMILAR SOLUTIONS OF THE SECOND KIND 110 3.8 POINT EXPLOSION WITH HEAT CONDUCTION 118 3.9 THE BLAST WAVE AT A LARGE DISTANCE 130 VII VIII CONTENTS 4 SHOCK PROPAGATION THEORIES: SOME INITIAL STUDIES 137 4.1 SHOCK WAVE THEORY OF KIRKWOOD AND BETHE 137 4.2 THE BRINKLEY-KIRKWOOD THEORY 144 4.3 PRESSURE BEHIND THE SHOCK: A PRACTICAL FORMULA 150 5 SOME EXACT ANALYTIC SOLUTIONS OF GASDYNAMIC EQUATIONS INVOLVING SHOCKS 153 5.1 EXACT SOLUTIONS OF SPHERICALLY SYMMETRIC FLOWS IN EULERIAN CO-ORDINATES 153 5.2 EXACT SOLUTIONS OF GASDYNAMIC EQUATIONS IN LAGRANGIAN CO- ORDINATES 163 5.3 EXACT SOLUTIONS OF GASDYNAMIC EQUATIONS WITH NONLINEAR PARTICLE VELOCITY 170 6 CONVERGING SHOCK WAVES 177 6.1 CONVERGING SHOCK WAVES: THE IMPLOSION PROBLEM 177 6.2 SPHERICAL CONVERGING SHOCK WAVES: SHOCK EXPONENT VIA THE PRESSURE MAXIMUM 183 6.3 CONVERGING SHOCK WAVES CAUSED BY SPHERICAL OR CYLINDRICAL PISTON MOTIONS 188 7 SPHERICAL BLAST WAVES PRODUCED BY SUDDEN EXPANSION OF A HIGH PRESSURE GAS 195 7.1 INTRODUCTION 195 7.2 EXPANSION OF A HIGH PRESSURE GAS INTO AIR: A SERIES SOLUTION 197 7.3 BLAST WAVE CAUSED BY THE EXPANSION OF A HIGH PRESSURE GAS SPHERE: AN APPROXIMATE ANALYTIC SOLUTION 208 8 NUMERICAL SIMULATION OF BLAST WAVES 225 8.1 INTRODUCTION 225 8.2 A BRIEF REVIEW OF DIFFERENCE SCHEMES FOR HYPERBOLIC SYSTEMS 228 8.3 BLAST WAVE COMPUTATIONS VIA ARTIFICIAL VISCOSITY . 233 8.4 CONVERGING CYLINDRICAL SHOCK WAVES 242 8.5 NUMERICAL SIMULATION OF EXPLOSIONS USING TOTAL VARIATION DIMINISHING SCHEME 253 REFERENCES 265 INDEX 275
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spelling	Sachdev, P. L. Verfasser aut Shock waves and explosions P. L. Sachdev Boca Raton [u.a.] Chapman & Hall/CRC 2004 XI, 278 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall CRC monographs and surveys in pure and applied mathematics 132 Literaturverz. S. 265 - 274 Mathematik Differential equations, Hyperbolic Numerical solutions Shock waves Mathematics Stoßwelle (DE-588)4057760-0 gnd rswk-swf Explosion (DE-588)4016009-9 gnd rswk-swf Explosion (DE-588)4016009-9 s DE-604 Stoßwelle (DE-588)4057760-0 s Chapman & Hall CRC monographs and surveys in pure and applied mathematics 132 (DE-604)BV013350872 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015387400&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Sachdev, P. L. Shock waves and explosions Chapman & Hall CRC monographs and surveys in pure and applied mathematics Mathematik Differential equations, Hyperbolic Numerical solutions Shock waves Mathematics Stoßwelle (DE-588)4057760-0 gnd Explosion (DE-588)4016009-9 gnd
subject_GND	(DE-588)4057760-0 (DE-588)4016009-9
title	Shock waves and explosions
title_auth	Shock waves and explosions
title_exact_search	Shock waves and explosions
title_exact_search_txtP	Shock waves and explosions
title_full	Shock waves and explosions P. L. Sachdev
title_fullStr	Shock waves and explosions P. L. Sachdev
title_full_unstemmed	Shock waves and explosions P. L. Sachdev
title_short	Shock waves and explosions
title_sort	shock waves and explosions
topic	Mathematik Differential equations, Hyperbolic Numerical solutions Shock waves Mathematics Stoßwelle (DE-588)4057760-0 gnd Explosion (DE-588)4016009-9 gnd
topic_facet	Mathematik Differential equations, Hyperbolic Numerical solutions Shock waves Mathematics Stoßwelle Explosion
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015387400&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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