E-Book, Englisch, 127 Seiten, Web PDF
Reihe: International Series in Modern Applied Mathematics and Computer Science
Lee / McDaniel Ocean Acoustic Propagation by Finite Difference Methods
1. Auflage 2014
ISBN: 978-1-4832-9569-5
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 127 Seiten, Web PDF
Reihe: International Series in Modern Applied Mathematics and Computer Science
ISBN: 978-1-4832-9569-5
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
A concise guide to the theory and application of numerical methods for predicting ocean acoustic propagation, also providing an introduction to numerical methods, with an overview of those methods presently in use. An in-depth development of the implicit-finite-difference technique is presented together with bench-mark test examples included to demonstrate its application to realistic ocean environments. Other applications include atmospheric acoustics, plasma physics, quantum mechanics, optics and seismology.
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Ocean Acoustic Propagation by Finite Difference Methods;4
3;Copyright Page;5
4;Table of Contents;6
5;Forword;8
6;PREFACE;10
7;CHAPTER 1. INTRODUCTION;12
8;CHAPTER 2. OCEAN ACOUSTIC WAVE PROPAGATION PROBLEMS;16
8.1;2.1. THE GOVERNING WAVE EQUATION;16
8.2;2.2. THE PARABOLIC APPROXIMATION;18
8.3;REFERENCES;23
9;CHAPTER 3. FINITE DIFFERENCE SCHEMES;24
9.1;3.1. FORMULATION;25
9.2;3.2. CONSISTENCY;27
9.3;3.3. STABILITY;30
9.4;REFERENCES;32
10;CHAPTER 4. INITIAL AND BOUNDARY CONDITIONS;34
10.1;4.1. THE INITIAL FIELD;34
10.2;4.2. A NEUMANN BOTTOM BOUNDARY CONDITION;35
10.3;4.3. INTERFACE TREATMENT;37
10.4;4.4. DISCUSSION;44
10.5;REFERENCES;46
11;CHAPTER 5. RANGE STEP SIZE ANALYSIS;48
11.1;5.1. THE HEAT EQUATION MODEL;48
11.2;5.2. AN EXTENSION OF THE MODEL HEAT EQUATION;50
11.3;REFERENCES;56
12;CHAPTER 6. WIDE-ANGLE CAPABILITY;58
12.1;6.1. RATIONAL FUNCTION APPROXIMATION;60
12.2;6.2. IFD IMPLEMENTATION;60
12.3;6.3. ESTIMATION OF THE PROPAGATION ANGLE;64
12.4;REFERENCES;67
13;CHAPTER 7. APPLICABLE SOLUTION METHODS OTHER THAN THE IMPLICIT FINITE DIFFERENCE SCHEME;68
13.1;7.1. THE SPLIT-STEP FOURIER ALGORITHM;68
13.2;7.2. THE NUMERICAL ORDINARY DIFFERENTIAL EQUATION METHOD;70
13.3;7.3. A STABLE EXPLICIT FINITE DIFFERENCE SCHEME;73
13.4;REFERENCES;75
14;CHAPTER 8. REPRESENTATIVE TEST EXAMPLES;76
14.1;8.1. BURGERS' EQUATION;76
14.2;8.2. RANGE-INDEPENDENT PROBLEMS;81
14.3;8.3. A RANGE-DEPENDENT PROBLEM;83
14.4;REFERENCES;90
15;CHAPTER 9. LISTING OF COMPUTER CODES;92
16;REFERENCE CITATION INDEX;128
17;SUBJECT INDEX;130
18;Untitled;132
