Large-scale structures in acoustics and electromagnetics : proceedings of a symposium / / Board on Mathematical Sciences, Commission on Physical Sciences, Mathematics, and Applications, National Research Council

• Pubblicazione: Washington, D.C., : National Academy Press, 1996
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (264 p.)
• Disciplina: 620.2/01/51
• Soggetto topico: Structural analysis (Engineering) - Mathematical models; Large scale systems - Mathematical models; Acoustical engineering - Mathematical models; Electromagnetism - Mathematical models
• Note generali: Symposium held on September 26-27, 1994, in Washington, D.C.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Large-Scale Structures in Acoustics and Electromagnetics -- Copyright -- Preface -- Contents -- Opening Remarks -- Introduction -- 1 High-Order, Multilevel, Adaptive Time-Domain Methods For Structural Acoustics Simulations -- INTRODUCTION -- A FLUID-SOLID INTERACTION PROBLEM -- Statement of the Problem -- Velocity-Displacement Formulation -- Velocity-Stress Formulation -- HIGH-ORDER TAYLOR-GALERKIN (TG) METHODS -- Approximation in Time -- Approximation in Space -- HIGHLY ABSORBING BOUNDARY CONDITIONS -- Model Problem -- A Family of Highly Absorbing Boundary Conditions -- Remarks: -- Operators And For Taylor-Galerkin Schemes -- ADAPTIVITY -- A FREQUENCY-DOMAIN APPROACH -- The Galerkin-Burton-Miller Formulation -- NUMERICAL EXAMPLES -- Example 1: Diffraction of a Plane Wave from an Elastic Cylindrical Shell (2D) -- Acoustic Fluid -- Elastic Cylinder -- Example 2: The Vibrating Cylinder Problem -- Example 3: The Coupled FE/BE Methods versus the Time-Domain Method -- ACKNOWLEDGMENT -- REFERENCES -- 2 Distributed Feedback Resonators -- INTRODUCTION -- THE EQUATIONS OF DISTRIBUTED FEEDBACK GRATING -- THE REFLECTION FILTER -- THE QUARTER WAVE SHIFTED DFB RESONATOR -- SIDE-COUPLED RESONATORS -- PHOTONIC BANDGAP CRYSTALS -- REFERENCES -- 3 Acoustic, Elastodynamic, and Electromagnetic Wavefield Computation-A Structured Approach Based on Reciprocity -- INTRODUCTION -- THE BASIC FIELD EQUATIONS -- Notation -- The First-order System of Wave Equations -- The Reciprocity Concatenation Matrices -- Point-source Solutions -- Green's Tensors -- THE RECIPROCITY THEOREMS -- The Reciprocity Theorem of the Time-convolution Type -- The Reciprocity Theorem of the Time-correlation Type -- Reciprocity Property of the Causal Green's Tensor -- EMBEDDING PROCEDURE, CONTRAST-PROPERTIES FORMULATION -- Contrast Formulation for Finite-element/Finite-difference Modeling. ; Contrast Formulation for Integral-equation/Method-of-Moments Modeling -- FINITE-ELEMENT/FINITE-DIFFERENCE MODELING -- Embedding Procedure -- METHOD-OF-MOMENTS MODELING -- COMPLEX FREQUENCY-DOMAIN MODELING OF WAVE PROBLEMS -- CONCLUDING REMARKS -- ACKNOWLEDGMENT -- REFERENCES -- APPENDIX 3A. STRUCTURE OF THE SPATIAL DIFFERENTIAL OPERATOR -- Acoustic Waves in Fluids -- Elastic Waves in Solids -- Electromagnetic Waves -- 4 Numerical Modeling of the Interactions of Ultrafast Optical Pulses with Nonresonant and Resonant Materials and Structures -- INTRODUCTION -- MAXWELL EQUATIONS SOLVER FOR LINEAR DISPERSIVE MEDIA -- MAXWELL'S EQUATION SOLVER IN LINEAR AND NONLINEAR MEDIA -- MAXWELL'S EQUATION SOLVER IN MULTILEVEL ATOM MEDIUM -- CONCLUSIONS -- REFERENCES -- 5 Algorithmic Aspects And Supercomputing Trends In Computational Electromagnetics -- INTRODUCTION -- Computational Electromagnetics -- Objectives -- CEM Issues -- Maxwell's Equations -- Finite-Volume Treatment -- Space/Time Discretization -- Polynomial Representation and Least Squares -- The Unstructured Second-Order Algorithm -- Material Properties -- Resistance Cards -- Perfectly Conducting Surface -- Lossy Materials and Dispersive Media -- Impedance Boundaries -- Anisotropic Media -- Chiral Media -- Cracks, Gaps, and Wires -- Boundary Conditions -- Perfect Conductors -- Outer Boundaries -- Material Interface -- Geometry/Gridding -- Massively Parallel Computing -- Validation -- PRESENT CEM CAPABILITY -- ACKNOWLEDGMENT -- REFERENCE -- 6 Adaptive Finite Element Methods for the Helmholtz Equation in Exterior Domains -- INTRODUCTION -- Adaptive Methods -- PROBLEM STATEMENT AND ADAPTIVE SOLUTION METHODOLOGIES -- Problem Statement -- Adaptive Solution Methodologies -- Mesh Generation -- Finite Element Formulations -- A Posteriori Error Estimation -- Hp-Adaptive Strategy -- Remarks:. ; NONUNIFORM RADIATION FROM A RIGID INFINITE CIRCULAR CYLINDER -- Galerkin Results -- Remarks: -- GLS Results -- CONCLUSIONS -- ACKNOWLEDGMENT -- REFERENCES -- 7 Modeling of Optically "Assisted" Phased Array Radar -- INTRODUCTION -- STATE-OF-THE-ART INDUSTRIAL MODELING -- VLSI Design -- Microwave System Design -- Optical System Analysis -- RECENT MODELING RESULTS FROM GWOL -- SOME CONCLUDING REMARKS -- REFERENCES -- 8 Synthesis And Analysis Of Large-Scale Integrated Photonic Devices And Circuits -- INTRODUCTION -- INVERSE SCATTERING THEORY -- DESIGN EXAMPLE 1: ZERO REFLECTION COEFFICIENT -- DESIGN EXAMPLE 2: NON-ZERO REFLECTION COEFFICIENT -- DESIGN EXAMPLE 3: NONRATIONAL REFLECTION COEFFICIENT -- Discretization of the G-L-M Equation -- Iteration Scheme With Relaxation -- Initial Values For K(x, t) -- Reconstruction of the Potential v(x) -- DISCUSSION -- REFERENCES -- 9 Design and Analysis of Finite Element Methods for Transient and Time-Harmonic Structural Acoustics -- INTRODUCTION -- THE TRANSIENT STRUCTURAL ACOUSTICS PROBLEM -- SPACE-TIME FINITE ELEMENT FORMULATION -- Finite Element Discretization -- Trial structural displacements -- Trial fluid potential -- SPACE-TIME VARIATIONAL EQUATIONS -- Exact Nonreflecting Boundary Conditions -- ANALYSIS OF THE SPACE-TIME FORMULATION -- Stability Analysis -- Galerkin Least-Squares Stabilization -- Convergence Analysis -- REPRESENTATIVE NUMERICAL EXAMPLE -- ITERATIVE SOLUTION OF LARGE-SCALE TIME-HARMONIC PROBLEMS -- Model Boundary Value Problem -- H-HIERARCHICAL BASIS PRECONDITIONER -- Formulation of the Preconditioner -- Implementation Issues -- Selection of Multiple Levels -- Matrix-Free Computations -- REPRESENTATIVE NUMERICAL EXAMPLES -- CONCLUSION -- REFERENCES -- 10 An Overview of the Application of the Method of Moments to Large Bodies in Electromagnetics -- INTRODUCTION. ; OVERVIEW OF THE METHOD OF MOMENTS -- SUMMARY OF METHODS -- Iterative Solutions -- Reducing the Number of Iterations -- The Fast Multipole Method -- Recursive Methods -- Exact Fixed Step Methods -- Spatial Decomposition -- Sparse Matrix Methods -- The Impedance Matrix Localization Method -- Wavelet Basis Functions -- Novel Expansion Methods -- Hybrid Methods -- The Hybrid MM/GTD Method -- The Hybrid GTD/MM Method -- CONCLUSIONS -- REFERENCES -- 11 Discussion -- OPEN DISCUSSION -- PANEL DISCUSSION -- Appendices -- Appendix A Symposium Agenda -- Appendix B Speakers -- Appendix C Symposium Participants.
• Sommario/riassunto: This book focuses on computational methods to determine the dynamics of large-scale electromagnetic, acoustic, and mechanical systems, including those with many substructures and characterized by an extended range of scales. Examples include large naval and maritime vessels, aerospace vehicles, and densely packed microelectronic and optical integrated circuits (VLSI). The interplay of time and frequency-domain computational and experimental procedures was addressed, emphasizing their relationship and synergy, and indicating mathematics research opportunities.
• Titolo autorizzato: Large-scale structures in acoustics and electromagnetics
• ISBN: 1-280-19268-2; 9786610192687; 0-309-56094-2; 0-585-15412-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910961069703321
• Lo trovi qui: Univ. Federico II