Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598290789
Total Pages : 154 pages
Book Rating : 4.5/5 (982 download)

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Book Synopsis Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics by : Costas D. Sarris

Download or read book Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics written by Costas D. Sarris and published by Morgan & Claypool Publishers. This book was released on 2007 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities); Optical power splitters, Y-junctions, and couplers; Optical ring resonators; Nonlinear optical waveguides.

Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics

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Author :
Publisher : Springer Nature
ISBN 13 : 3031016955
Total Pages : 135 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics by : Costas Sarris

Download or read book Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics written by Costas Sarris and published by Springer Nature. This book was released on 2022-05-31 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a comprehensive presentation of state-of-the-art methodologies that can dramatically enhance the efficiency of the finite-difference time-domain (FDTD) technique, the most popular electromagnetic field solver of the time-domain form of Maxwell's equations. These methodologies are aimed at optimally tailoring the computational resources needed for the wideband simulation of microwave and optical structures to their geometry, as well as the nature of the field solutions they support. That is achieved by the development of robust “adaptive meshing” approaches, which amount to varying the total number of unknown field quantities in the course of the simulation to adapt to temporally or spatially localized field features. While mesh adaptation is an extremely desirable FDTD feature, known to reduce simulation times by orders of magnitude, it is not always robust. The specific techniques presented in this book are characterized by stability and robustness. Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities). Optical power splitters, Y-junctions, and couplers Optical ring resonators Nonlinear optical waveguides. Building on first principles of time-domain electromagnetic simulations, this book presents advanced concepts and cutting-edge modeling techniques in an intuitive way for programmers, engineers, and graduate students. It is designed to provide a solid reference for highly efficient time-domain solvers, employed in a wide range of exciting applications in microwave/millimeter-wave and optical engineering.

Adaptive Mesh Refinement - Theory and Applications

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540270396
Total Pages : 550 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Adaptive Mesh Refinement - Theory and Applications by : Tomasz Plewa

Download or read book Adaptive Mesh Refinement - Theory and Applications written by Tomasz Plewa and published by Springer Science & Business Media. This book was released on 2005-12-20 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.

Adaptive Mesh Refinement for Time-domain Electromagnetics Using Vector Finite Elements

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Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (316 download)

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Book Synopsis Adaptive Mesh Refinement for Time-domain Electromagnetics Using Vector Finite Elements by : C. David Turner

Download or read book Adaptive Mesh Refinement for Time-domain Electromagnetics Using Vector Finite Elements written by C. David Turner and published by . This book was released on 2005 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report investigates the feasibility of applying Adaptive Mesh Refinement (AMR) techniques to a vector finite element formulation for the wave equation in three dimensions. Possible error estimators are considered first. Next, approaches for refining tetrahedral elements are reviewed. AMR capabilities within the Nevada framework are then evaluated. We summarize our conclusions on the feasibility of AMR for time-domain vector finite elements and identify a path forward.

Numerical Electromagnetics

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Publisher : Cambridge University Press
ISBN 13 : 1139497987
Total Pages : 405 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Numerical Electromagnetics by : Umran S. Inan

Download or read book Numerical Electromagnetics written by Umran S. Inan and published by Cambridge University Press. This book was released on 2011-04-07 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with the development of finite difference equations, and leading to the complete FDTD algorithm, this is a coherent introduction to the FDTD method (the method of choice for modeling Maxwell's equations). It provides students and professional engineers with everything they need to know to begin writing FDTD simulations from scratch and to develop a thorough understanding of the inner workings of commercial FDTD software. Stability, numerical dispersion, sources and boundary conditions are all discussed in detail, as are dispersive and anisotropic materials. A comparative introduction of the finite volume and finite element methods is also provided. All concepts are introduced from first principles, so no prior modeling experience is required, and they are made easier to understand through numerous illustrative examples and the inclusion of both intuitive explanations and mathematical derivations.

Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics

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Publisher : Springer Nature
ISBN 13 : 3031017129
Total Pages : 242 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics by : Stephen Gedney

Download or read book Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics written by Stephen Gedney and published by Springer Nature. This book was released on 2022-05-31 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics provides a comprehensive tutorial of the most widely used method for solving Maxwell's equations -- the Finite Difference Time-Domain Method. This book is an essential guide for students, researchers, and professional engineers who want to gain a fundamental knowledge of the FDTD method. It can accompany an undergraduate or entry-level graduate course or be used for self-study. The book provides all the background required to either research or apply the FDTD method for the solution of Maxwell's equations to practical problems in engineering and science. Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics guides the reader through the foundational theory of the FDTD method starting with the one-dimensional transmission-line problem and then progressing to the solution of Maxwell's equations in three dimensions. It also provides step by step guides to modeling physical sources, lumped-circuit components, absorbing boundary conditions, perfectly matched layer absorbers, and sub-cell structures. Post processing methods such as network parameter extraction and far-field transformations are also detailed. Efficient implementations of the FDTD method in a high level language are also provided. Table of Contents: Introduction / 1D FDTD Modeling of the Transmission Line Equations / Yee Algorithm for Maxwell's Equations / Source Excitations / Absorbing Boundary Conditions / The Perfectly Matched Layer (PML) Absorbing Medium / Subcell Modeling / Post Processing

Scattering Analysis of Periodic Structures using Finite-Difference Time-Domain Method

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Author :
Publisher : Springer Nature
ISBN 13 : 3031017137
Total Pages : 122 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Scattering Analysis of Periodic Structures using Finite-Difference Time-Domain Method by : Khaled ElMahgoub

Download or read book Scattering Analysis of Periodic Structures using Finite-Difference Time-Domain Method written by Khaled ElMahgoub and published by Springer Nature. This book was released on 2022-06-01 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Periodic structures are of great importance in electromagnetics due to their wide range of applications such as frequency selective surfaces (FSS), electromagnetic band gap (EBG) structures, periodic absorbers, meta-materials, and many others. The aim of this book is to develop efficient computational algorithms to analyze the scattering properties of various electromagnetic periodic structures using the finite-difference time-domain periodic boundary condition (FDTD/PBC) method. A new FDTD/PBC-based algorithm is introduced to analyze general skewed grid periodic structures while another algorithm is developed to analyze dispersive periodic structures. Moreover, the proposed algorithms are successfully integrated with the generalized scattering matrix (GSM) technique, identified as the hybrid FDTD-GSM algorithm, to efficiently analyze multilayer periodic structures. All the developed algorithms are easy to implement and are efficient in both computational time and memory usage. These algorithms are validated through several numerical test cases. The computational methods presented in this book will help scientists and engineers to investigate and design novel periodic structures and to explore other research frontiers in electromagnetics. Table of Contents: Introduction / FDTD Method and Periodic Boundary Conditions / Skewed Grid Periodic Structures / Dispersive Periodic Structures / Multilayered Periodic Structures / Conclusions

Adaptive Mesh Refinement for Time

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (132 download)

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Book Synopsis Adaptive Mesh Refinement for Time by : Costas D. Sarris

Download or read book Adaptive Mesh Refinement for Time written by Costas D. Sarris and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Mesh Refinement in Numerical Relativity

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Publisher :
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.:/5 (895 download)

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Book Synopsis Adaptive Mesh Refinement in Numerical Relativity by : Lee Ashton Wild

Download or read book Adaptive Mesh Refinement in Numerical Relativity written by Lee Ashton Wild and published by . This book was released on 1996 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Costs and Savings of Adaptive Mesh Refinement

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Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Costs and Savings of Adaptive Mesh Refinement by : Ragnhild Blikberg

Download or read book Costs and Savings of Adaptive Mesh Refinement written by Ragnhild Blikberg and published by . This book was released on 2001 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Local Mesh Refinement Algorithms for Enhanced Modeling Capabilities in the FDTD Method

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Publisher :
ISBN 13 : 9783866280359
Total Pages : 203 pages
Book Rating : 4.2/5 (83 download)

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Book Synopsis Local Mesh Refinement Algorithms for Enhanced Modeling Capabilities in the FDTD Method by : Nicolas Pierre Chavannes

Download or read book Local Mesh Refinement Algorithms for Enhanced Modeling Capabilities in the FDTD Method written by Nicolas Pierre Chavannes and published by . This book was released on 2002 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Mesh Refinement for Pseudospectral Methods in Numerical Relativity

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (143 download)

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Book Synopsis Adaptive Mesh Refinement for Pseudospectral Methods in Numerical Relativity by : Sarah Renkhoff

Download or read book Adaptive Mesh Refinement for Pseudospectral Methods in Numerical Relativity written by Sarah Renkhoff and published by . This book was released on 2023* with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Across all of computational physics, a central problem is that of discretization, from the choice of resolution in simple finite difference approaches, to the details of more intricate discretization schemes such as spectral elements. The choice of discretization decides the numerical solution space, as well as the properties of numerical methods, such as their convergence and stability. For this reason, the effective use of any numerical scheme requires a proper understanding of the underlying discretization scheme and its parameters. In particular, modern numerical methods often incorporate adaptive discretization schemes, utilizing heterogeneous meshes that change with time. In this work, we will explore one such method in the form of a state-of-the-art numerical relativity code, and the implementation of an adaptive mesh refinement (AMR) scheme within it. We describe in detail its features, and the resulting properties as it is used to solve physical problems in the form of hyperbolic partial differential equations, and we examine the scaling behavior of the resulting method. We also present results obtained using this scheme, in the form of simulations of the critical collapse of gravitational waves, that were made possible by the AMR system, showing some evidence of both self-similarity and universality in this system. Finally, we study a suite of several challenging test cases, beginning with a simple two-dimensional wave equation with an added nonlinearity, which results in critical behavior for certain choices of initial data, then moving on to the collapse of a real scalar field minimally coupled to general relativity in spherical symmetry. Finally, we use the collapse of gravitational waves in vacuum in axisymmetry as our third test case. We use these example problems to evaluate the gains in terms of accuracy, as well as efficiency, that are obtained through the use of adaptive resolutions.

Structured Adaptive Mesh Refinement (SAMR) Grid Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387989211
Total Pages : 204 pages
Book Rating : 4.9/5 (892 download)

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Book Synopsis Structured Adaptive Mesh Refinement (SAMR) Grid Methods by : Scott B. Baden

Download or read book Structured Adaptive Mesh Refinement (SAMR) Grid Methods written by Scott B. Baden and published by Springer Science & Business Media. This book was released on 2000 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented here describe research to improve the general understanding of the application of SAMR to practical problems, to identify issues critical to efficient and effective implementation on high performance computers, and to stimulate the development of a community code repository for software including benchmarks to assist in the evaluation of software and compiler technologies. The ten chapters have been divided into two parts: programming complexity of SAMR algorithms and the applicability and numerical challenges of SAMR methods.

Adaptive Moving Mesh Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 1441979166
Total Pages : 446 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Adaptive Moving Mesh Methods by : Weizhang Huang

Download or read book Adaptive Moving Mesh Methods written by Weizhang Huang and published by Springer Science & Business Media. This book was released on 2010-10-26 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit from this book.

Adaptive Mesh Refinement

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Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.:/5 (494 download)

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Book Synopsis Adaptive Mesh Refinement by : Andrew James Mayfield

Download or read book Adaptive Mesh Refinement written by Andrew James Mayfield and published by . This book was released on 1993 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Mesh Refinement for Computational Aeroacoustics

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Publisher :
ISBN 13 :
Total Pages : 143 pages
Book Rating : 4.:/5 (111 download)

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Book Synopsis Adaptive Mesh Refinement for Computational Aeroacoustics by : Xun Huang

Download or read book Adaptive Mesh Refinement for Computational Aeroacoustics written by Xun Huang and published by . This book was released on 2006 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Special Issue on Adaptive Mesh Refinement Methods for CFD Applications

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Publisher :
ISBN 13 :
Total Pages : 135 pages
Book Rating : 4.:/5 (64 download)

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Book Synopsis Special Issue on Adaptive Mesh Refinement Methods for CFD Applications by :

Download or read book Special Issue on Adaptive Mesh Refinement Methods for CFD Applications written by and published by . This book was released on 1996 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: