Stefan Bilbao

Wave and Scattering Methods for Numerical Simulation (eBook, PDF)

• Format: PDF

Produktbeschreibung

Scattering-based numerical methods are increasingly applied to the numerical simulation of distributed time-dependent physical systems. These methods, which possess excellent stability and stability verification properties, have appeared in various guises as the transmission line matrix (TLM) method, multidimensional wave digital (MDWD) filtering and digital waveguide (DWN) methods. This text provides a unified framework for all of these techniques and addresses the question of how they are related to more standard numerical simulation techniques. Covering circuit/scattering models in electromagnetics, transmission line modelling, elastic dynamics, as well as time-varying and nonlinear systems, this book highlights the general applicability of this technique across a variety of disciplines, as well as the inter-relationships between simulation techniques and digital filter design. * provides a comprehensive overview of scattering-based numerical integration methods. * reviews the basics of classical electrical network theory, wave digital filters, and digital waveguide networks. * discusses applications for time-varying and nonlinear systems. * includes an extensive bibliography containing over 250 references. Mixing theory and application with numerical simulation results, this book will be suitable for both experts and readers with a limited background in signal processing and numerical techniques.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 380
• Erscheinungstermin: 31. August 2004
• Englisch
• ISBN-13: 9780470870181
• Artikelnr.: 37299881

Autorenporträt

Stefan Bilbao received his BA in Physics at Harvard University ('92), then spent two years at the Institut de Recherche et Coordination Acoustique Musicale (IRCAM) in Paris as a student intern. He then completed the MSc and PhD degrees in Electrical Engineering at Stanford University ('96 and '01, respectively), while working at the Center for Computer Research in Music and Acoustics (CCRMA). His current research interests include the application of digital filtering and numerical simulation techniques to the physical modeling of musical instruments.

Inhaltsangabe

Preface. Foreword. 1. Introduction. 1.1 An Overview of Scattering Methods.
1.2 Questions. 2. Wave Digital Filters. 2.1 Classical Network Theory. 2.2
Wave Digital Elements and Connections. 2.3 Wave Digital Filters and Finite
Differences. 3. Multidimensional Wave Digital Filters. 3.1 Symmetric
Hyperbolic Systems. 3.2 Coordinate Changes and Grid Generation. 3.3
MD-passivity. 3.4 MD Circuit Elements. 3.5 The (1 +1)D Advection Equation.
3.6 The (1 +1)D Transmission Line. 3.7 The (2 +1)D Parallel-plate System.
3.8 Finite-difference Interpretation. 3.9 Initial Conditions. 3.10 Boundary
Conditions. 3.11 Balanced Forms. 3.12 Higher-order Accuracy. 4. Digital
Waveguide Networks. 4.1 FDTD and TLM. 4.2 Digital Waveguides. 4.3 The (1
+1)D Transmission Line. 4.4 The (2 +1)D Parallel-plate System. 4.5 Initial
Conditions. 4.6 Music and Audio Applications of Digital Waveguides. 5.
Extensions of Digital Waveguide Networks. 5.1 Alternative Grids in (2 +1)D.
5.2 The (3 + 1)D Wave Equation and Waveguide Meshes. 5.3 The Waveguide Mesh
in General Curvilinear Coordinates. 5.4 Interfaces between Grids. 6.
Incorporating the DWN into the MDWD Framework. 6.1 The (1 +1)D Transmission
Line Revisited. 6.2 Alternative MDKC for the (2 + 1)D Parallel-plate
System. 6.3 Higher-order Accuracy Revisited. 6.4 Maxwell's Equations. 7.
Applications to Vibrating Systems. 7.1 Beam Dynamics. 7.2 Plates. 7.3
Cylindrical Shells. 7.4 Elastic Solids. 8. Time-varying and Nonlinear
Systems. 8.1 Time-varying and Nonlinear Circuit Elements. 8.2 Linear
Time-varying Distributed Systems. 8.3 Lumped Nonlinear Systems in Musical
Acoustics. 8.4 From Wave Digital Principles to Relativity Theory. 8.5
Burger's Equation. 8.6 The Gas Dynamics Equations. 9. Concluding Remarks.
9.1 Answers. 9.2 Questions. A. Finite Difference Schemes for the Wave
Equation. A.1 Von Neumann Analysis of Difference Schemes. A.2 Finite
Difference Schemes for the (2 + 1)D Wave Equation. A.3 Finite Difference
Schemes for the (3 + 1)D Wave Equation. B. Eigenvalue and Steady State
Problems. B.1 Introduction. B.2 Abstract Time Domain Models. B.3 Typical
Eigenvalue Distribution of a Discretized PDE. B.4 Excitation and Filtering.
B.5 Partial Similarity Transform. B.6 Steady State Problems. B.7
Generalization to Multiple Eigenvalues. B.8 Numerical Example.
Bibliography. Index.