The Cell Method for Electrical Engineering and Multiphysics Problems

The Cell Method for Electrical Engineering and Multiphysics Problems
Author: Piergiorgio Alotto
Publisher: Springer Science & Business Media
Total Pages: 138
Release: 2013-01-24
Genre: Technology & Engineering
ISBN: 3642361013

This book presents a numerical scheme for the solution of field problems governed by partial differential equations: the cell method. The technique lends itself naturally to the solution of multiphysics problems with several interacting phenomena. The Cell Method, based on a space-time tessellation, is intimately related to the work of Tonti and to his ideas of classification diagrams or, as they are nowadays called, Tonti diagrams: a graphical representation of the problem's equations made possible by a suitable selection of a space-time framework relating physical variables to each other. The main features of the cell method are presented and links with many other discrete numerical methods (finite integration techniques, finite difference time domain, finite volumes, mimetic finite differences, etc.) are discussed. After outlining the theoretical basis of the method, a set of physical problems which have been solved with the cell method is described. These single and multiphysics problems stem from the authors' research experience in the fields of electromagnetism, elasticity, thermo-elasticity and others. Finally, the implementation of the numerical technique is described in all its main components: space-time discretization, problem formulation, solution and representation of the resulting physical fields.

The Cell Method

The Cell Method
Author: Elena Ferretti
Publisher:
Total Pages: 0
Release: 2014
Genre: Technology & Engineering
ISBN: 9781606506042

Finite Element, Boundary Element, Finite Volume, and Finite Difference Analysis are all commonly used in nearly all engineering disciplines to simplify complex problems of geometry and change. But they all tend to oversimplify. The Cell Method is a more recent computational approach developed initially for problems in solid mechanics and electro-magnetic field analysis. It is a more algebraic approach, and it offers a more accurate representation of geometric and topological features. This will be perhaps the first book-length work in the world that explicates the Cell Method and that shows how useful it can be for practical problem solving, especially in problems in solid mechanics.

The Cell Method

The Cell Method
Author: Elena Ferretti
Publisher: Momentum Press
Total Pages: 282
Release: 2014-02-02
Genre: Technology & Engineering
ISBN: 1606506064

The Cell Method (CM) is a computational tool that maintains critical multidimensional attributes of physical phenomena in analysis. This information is neglected in the differential formulations of the classical approaches of finite element, boundary element, finite volume, and finite difference analysis, often leading to numerical instabilities and spurious results. This book highlights the central theoretical concepts of the CM that preserve a more accurate and precise representation of the geometric and topological features of variables for practical problem solving. Important applications occur in fields such as electromagnetics, electrodynamics, solid mechanics and fluids. CM addresses non-locality in continuum mechanics, an especially important circumstance in modeling heterogeneous materials. Professional engineers and scientists, as well as graduate students, are offered: • A general overview of physics and its mathematical descriptions; • Guidance on how to build direct, discrete formulations; • Coverage of the governing equations of the CM, including nonlocality; • Explanations of the use of Tonti diagrams; and • References for further reading.

Digital Microscopy

Digital Microscopy
Author: Greenfield Sluder
Publisher: Elsevier
Total Pages: 626
Release: 2007-04-26
Genre: Science
ISBN: 0080544347

The previous edition of this book marked the shift in technology from video to digital camera use with microscope use in biological science. This new edition presents some of the optical fundamentals needed to provide a quality image to the digital camera. Specifically, it covers the fundamental geometric optics of finite- and infinity-corrected microscopes, develops the concepts of physical optics and Abbe's theory of image formation, presents the principles of Kohler illumination, and finally reviews the fundamentals of fluorescence and fluorescence microscopy. The second group of chapters deals with digital and video fundamentals: how digital and video cameras work, how to coordinate cameras with microscopes, how to deal with digital data, the fundamentals of image processing, and low light level cameras. The third group of chapters address some specialized areas of microscopy that allow sophisticated measurements of events in living cells that are below the optical limits of resolution. - Expands coverage to include discussion of confocal microscopy not found in the previous edition - Includes "traps and pitfalls" as well as laboratory exercises to help illustrate methods

Computational Many-Particle Physics

Computational Many-Particle Physics
Author: Holger Fehske
Publisher: Springer
Total Pages: 774
Release: 2007-12-10
Genre: Science
ISBN: 3540746862

Looking for the real state of play in computational many-particle physics? Look no further. This book presents an overview of state-of-the-art numerical methods for studying interacting classical and quantum many-particle systems. A broad range of techniques and algorithms are covered, and emphasis is placed on their implementation on modern high-performance computers. This excellent book comes complete with online files and updates allowing readers to stay right up to date.

Micromechanics of Composite Materials

Micromechanics of Composite Materials
Author: Jacob Aboudi
Publisher: Butterworth-Heinemann
Total Pages: 1032
Release: 2013
Genre: Technology & Engineering
ISBN: 0123970350

Summary: A Generalized Multiscale Analysis Approach brings together comprehensive background information on the multiscale nature of the composite, constituent material behaviour, damage models and key techniques for multiscale modelling, as well as presenting the findings and methods, developed over a lifetime's research, of three leading experts in the field. The unified approach presented in the book for conducting multiscale analysis and design of conventional and smart composite materials is also applicable for structures with complete linear and nonlinear material behavior, with numerous applications provided to illustrate use. Modeling composite behaviour is a key challenge in research and industry; when done efficiently and reliably it can save money, decrease time to market with new innovations and prevent component failure.

Computational Methods in Cell Biology

Computational Methods in Cell Biology
Author:
Publisher: Academic Press
Total Pages: 427
Release: 2012-05-31
Genre: Science
ISBN: 0123884217

Computational methods are playing an ever increasing role in cell biology. This volume of Methods in Cell Biology focuses on Computational Methods in Cell Biology and consists of two parts: (1) data extraction and analysis to distill models and mechanisms, and (2) developing and simulating models to make predictions and testable hypotheses. - Focuses on computational methods in cell biology - Split into 2 parts--data extraction and analysis to distill models and mechanisms, and developing and simulating models to make predictions and testable hypotheses - Emphasizes the intimate and necessary connection with interpreting experimental data and proposing the next hypothesis and experiment

Morphology Methods

Morphology Methods
Author: Ricardo V. Lloyd
Publisher: Springer Science & Business Media
Total Pages: 435
Release: 2001-06-15
Genre: Medical
ISBN: 1592591906

The past several decades have witnessed an impressive array of conceptual and techno logical advances in the biomedical sciences. Much of the progress in this area has developed directly as a result of new morphology-based methods that have permitted the assessment of chemical, enzymatic, immunological, and molecular parameters at the cellular and tissue levels. Additional novel approaches including laser capture microdissection have also emerged for the acquisition of homogeneous cell popula tions for molecular analyses. These methodologies have literally reshaped the approaches to fundamental biological questions and have also had a major impact in the area of diagnostic pathology. Much of the groundwork for the development of morphological methods was estab th lished in the early part of the 19 century by Francois-Vincent Raspail, generally acknowledged as the founder of the science of histochemistry. The earliest work in the field was primarily in the hands of botanists and many of the approaches to the under standing of the chemical composition of cells and tissues involved techniques such as microincineration, which destroyed structural integrity. The development of aniline th dyes in the early 20 century served as a major impetus to studies of the structural rather than chemical composition of tissue. Later in the century, however, the focus returned to the identification of chemical constituents in the context of intact cell and tissue structure.