Multiscale Methods In Science And Engineering

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Multiscale Methods in Science and Engineering

Björn Engquist,Per Lötstedt,Olof Runborg
Multiscale Methods in Science and Engineering Book PDF

Author : Björn Engquist,Per Lötstedt,Olof Runborg
Publisher : Springer
Page : 289 pages
File Size : 55,9 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 3540809120

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Multiscale Methods in Science and Engineering by Björn Engquist,Per Lötstedt,Olof Runborg Pdf

Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e.g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales with applications in chemistry, physics and engineering.

Multiscale Methods in Science and Engineering

Björn Engquist,Per Lötstedt,Olof Runborg
Multiscale Methods in Science and Engineering Book PDF

Author : Björn Engquist,Per Lötstedt,Olof Runborg
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 55,6 Mb
Release : 2005-05-24
Category : Mathematics
ISBN : 9783540253358

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Multiscale Methods in Science and Engineering by Björn Engquist,Per Lötstedt,Olof Runborg Pdf

Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e.g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales with applications in chemistry, physics and engineering.

Multiscale Methods

Jacob Fish
Multiscale Methods Book PDF

Author : Jacob Fish
Publisher : Oxford University Press on Demand
Page : 631 pages
File Size : 51,8 Mb
Release : 2010
Category : Mathematics
ISBN : 9780199233854

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Multiscale Methods by Jacob Fish Pdf

Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at a larger scale and over an extensive period of time. The primary objective of this volume is to reflect the state-of-the-art in multiscale mathematics, modeling, and simulations and to address the following barriers: What is the information that needs to be transferred from one model or scale to another and what physical principles must be satisfied during thetransfer of information? What are the optimal ways to achieve such transfer of information? How can variability of physical parameters at multiple scales be quantified and how can it be accounted for to ensure design robustness?The multiscale approaches in space and time presented in this volume are grouped into two main categories: information-passing and concurrent. In the concurrent approaches various scales are simultaneously resolved, whereas in the information-passing methods the fine scale is modeled and its gross response is infused into the continuum scale. The issue of reliability of multiscale modeling and simulation tools which focus on a hierarchy of multiscale models and an a posteriori model of errorestimation including uncertainty quantification, is discussed in several chapters. Component software that can be effectively combined to address a wide range of multiscale simulations is also described. Applications range from advanced materials to nanoelectromechanical systems (NEMS), biologicalsystems, and nanoporous catalysts where physical phenomena operates across 12 orders of magnitude in time scales and 10 orders of magnitude in spatial scales.This volume is a valuable reference book for scientists, engineers and graduate students practicing in traditional engineering and science disciplines as well as in emerging fields of nanotechnology, biotechnology, microelectronics and energy.

Multiscale Methods in Science and Engineering

Björn Engquist,Per Lötstedt,Olof Runborg
Multiscale Methods in Science and Engineering Book PDF

Author : Björn Engquist,Per Lötstedt,Olof Runborg
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 47,5 Mb
Release : 2006-03-30
Category : Technology & Engineering
ISBN : 9783540264446

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Multiscale Methods in Science and Engineering by Björn Engquist,Per Lötstedt,Olof Runborg Pdf

Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e.g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales with applications in chemistry, physics and engineering.

Multiscale Modeling and Simulation in Science

Björn Engquist,Per Lötstedt,Olof Runborg
Multiscale Modeling and Simulation in Science Book PDF

Author : Björn Engquist,Per Lötstedt,Olof Runborg
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 41,5 Mb
Release : 2009-02-11
Category : Computers
ISBN : 9783540888574

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Multiscale Modeling and Simulation in Science by Björn Engquist,Per Lötstedt,Olof Runborg Pdf

Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a wing depend on the behavior of the small vortices in the boundarylayer. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed. A common dif?culty with the simulation of these problems and many others in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with unacceptably long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignoresthe?nescale informationthenthesolutionwillnotbephysicallymeaningful. The in?uence of the ?ne scales must be incorporated into the model. This volume is the result of a Summer School on Multiscale Modeling and S- ulation in Science held at Boso ¤n, Lidingo ¤ outside Stockholm, Sweden, in June 2007. Sixty PhD students from applied mathematics, the sciences and engineering parti- pated in the summer school.

Multiscale Methods

Grigoris Pavliotis,Andrew Stuart
Multiscale Methods Book PDF

Author : Grigoris Pavliotis,Andrew Stuart
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 48,8 Mb
Release : 2008-01-18
Category : Mathematics
ISBN : 9780387738291

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Multiscale Methods by Grigoris Pavliotis,Andrew Stuart Pdf

This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.

Multiscale Methods in Computational Mechanics

René de Borst,Ekkehard Ramm
Multiscale Methods in Computational Mechanics Book PDF

Author : René de Borst,Ekkehard Ramm
Publisher : Springer Science & Business Media
Page : 451 pages
File Size : 42,9 Mb
Release : 2010-10-09
Category : Computers
ISBN : 9789048198092

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Multiscale Methods in Computational Mechanics by René de Borst,Ekkehard Ramm Pdf

This work gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies will be addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics. A Dutch-German research group that consists of qualified and well-known researchers in the field has worked for six years on the topic of computational multiscale mechanics. This text provides a unique opportunity to consolidate and disseminate the knowledge gained in this project. The addition of chapters written by experts outside this working group provides a broad and multifaceted view of this rapidly evolving field.

Multiscale Modelling and Simulation

Sabine Attinger,Petros Koumoutsakos
Multiscale Modelling and Simulation Book PDF

Author : Sabine Attinger,Petros Koumoutsakos
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 54,5 Mb
Release : 2004-07-12
Category : Mathematics
ISBN : 3540211802

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Multiscale Modelling and Simulation by Sabine Attinger,Petros Koumoutsakos Pdf

In August 2003, ETHZ Computational Laboratory (CoLab), together with the Swiss Center for Scientific Computing in Manno and the Università della Svizzera Italiana (USI), organized the Summer School in "Multiscale Modelling and Simulation" in Lugano, Switzerland. This summer school brought together experts in different disciplines to exchange ideas on how to link methodologies on different scales. Relevant examples of practical interest include: structural analysis of materials, flow through porous media, turbulent transport in high Reynolds number flows, large-scale molecular dynamic simulations, ab-initio physics and chemistry, and a multitude of others. Though multiple scale models are not new, the topic has recently taken on a new sense of urgency. A number of hybrid approaches are now created in which ideas coming from distinct disciplines or modelling approaches are unified to produce new and computationally efficient techniques.

Multiscale and Multiresolution Methods

Timothy J. Barth,Tony Chan,Robert Haimes
Multiscale and Multiresolution Methods Book PDF

Author : Timothy J. Barth,Tony Chan,Robert Haimes
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642562051

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Multiscale and Multiresolution Methods by Timothy J. Barth,Tony Chan,Robert Haimes Pdf

Many computionally challenging problems omnipresent in science and engineering exhibit multiscale phenomena so that the task of computing or even representing all scales of action is computationally very expensive unless the multiscale nature of these problems is exploited in a fundamental way. Some diverse examples of practical interest include the computation of fluid turbulence, structural analysis of composite materials, terabyte data mining, image processing, and a multitude of others. This book consists of both invited and contributed articles which address many facets of efficient multiscale representation and scientific computation from varied viewpoints such as hierarchical data representations, multilevel algorithms, algebraic homogeni- zation, and others. This book should be of particular interest to readers interested in recent and emerging trends in multiscale and multiresolution computation with application to a wide range of practical problems.

From Multiscale Modeling to Meso-Science

Jinghai Li,Wei Ge,Wei Wang,Ning Yang,Xinhua Liu,Limin Wang,Xianfeng He,Xiaowei Wang,Junwu Wang,Mooson Kwauk
From Multiscale Modeling to Meso Science Book PDF

Author : Jinghai Li,Wei Ge,Wei Wang,Ning Yang,Xinhua Liu,Limin Wang,Xianfeng He,Xiaowei Wang,Junwu Wang,Mooson Kwauk
Publisher : Springer Science & Business Media
Page : 497 pages
File Size : 46,7 Mb
Release : 2013-03-22
Category : Technology & Engineering
ISBN : 9783642351891

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From Multiscale Modeling to Meso-Science by Jinghai Li,Wei Ge,Wei Wang,Ning Yang,Xinhua Liu,Limin Wang,Xianfeng He,Xiaowei Wang,Junwu Wang,Mooson Kwauk Pdf

Multiscale modeling is becoming essential for accurate, rapid simulation in science and engineering. This book presents the results of three decades of research on multiscale modeling in process engineering from principles to application, and its generalization for different fields. This book considers the universality of meso-scale phenomena for the first time, and provides insight into the emerging discipline that unifies them, meso-science, as well as new perspectives for virtual process engineering. Multiscale modeling is applied in areas including: multiphase flow and fluid dynamics chemical, biochemical and process engineering mineral processing and metallurgical engineering energy and resources materials science and engineering Jinghai Li is Vice-President of the Chinese Academy of Sciences (CAS), a professor at the Institute of Process Engineering, CAS, and leader of the EMMS (Energy-minimizing multiscale) Group. Wei Ge, Wei Wang, Ning Yang and Junwu Wang are professors at the EMMS Group, part of the Institute of Process Engineering, CAS. Xinhua Liu, Limin Wang, Xianfeng He and Xiaowei Wang are associate professors at the EMMS Group, part of the Institute of Process Engineering, CAS. Mooson Kwauk is an emeritus director of the Institute of Process Engineering, CAS, and is an advisor to the EMMS Group.

Practical Multiscaling

Jacob Fish
Practical Multiscaling Book PDF

Author : Jacob Fish
Publisher : John Wiley & Sons
Page : 420 pages
File Size : 45,5 Mb
Release : 2013-09-03
Category : Science
ISBN : 9781118534854

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Practical Multiscaling by Jacob Fish Pdf

Practical Multiscaling covers fundamental modelling techniques aimed at bridging diverse temporal and spatial scales ranging from the atomic level to a full-scale product level. It focuses on practical multiscale methods that account for fine-scale (material) details but do not require their precise resolution. The text material evolved from over 20 years of teaching experience at Rensselaer and Columbia University, as well as from practical experience gained in the application of multiscale software. This book comprehensively covers theory and implementation, providing a detailed exposition of the state-of-the-art multiscale theories and their insertion into conventional (single-scale) finite element code architecture. The robustness and design aspects of multiscale methods are also emphasised, which is accomplished via four building blocks: upscaling of information, systematic reduction of information, characterization of information utilizing experimental data, and material optimization. To ensure the reader gains hands-on experience, a companion website hosting a lite version of the multiscale design software (MDS-Lite) is available. Key features: Combines fundamental theory and practical methods of multiscale modelling Covers the state-of-the-art multiscale theories and examines their practical usability in design Covers applications of multiscale methods Accompanied by a continuously updated website hosting the multiscale design software Illustrated with colour images Practical Multiscaling is an ideal textbook for graduate students studying multiscale science and engineering. It is also a must-have reference for government laboratories, researchers and practitioners in civil, aerospace, pharmaceutical, electronics, and automotive industries, and commercial software vendors.

Homogenization Methods for Multiscale Mechanics

Chiang C. Mei,Bogdan Vernescu
Homogenization Methods for Multiscale Mechanics Book PDF

Author : Chiang C. Mei,Bogdan Vernescu
Publisher : World Scientific
Page : 349 pages
File Size : 50,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814282444

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Homogenization Methods for Multiscale Mechanics by Chiang C. Mei,Bogdan Vernescu Pdf

In many physical problems several scales present either in space or in time, caused by either inhomogeneity of the medium or complexity of the mechanical process. A fundamental approach is to first construct micro-scale models, and then deduce the macro-scale laws and the constitutive relations by properly averaging over the micro-scale. The perturbation method of multiple scales can be used to derive averaged equations for a much larger scale from considerations of the small scales. In the mechanics of multiscale media, the analytical scheme of upscaling is known as the Theory of Homogenization The authors share the view that the general methods of homogenization should be more widely understood and practiced by applied scientists and engineers. Hence this book is aimed at providing a less abstract treatment of the theory of homogenization for treating inhomogeneous media, and at illustrating its broad range of applications. Each chapter deals with a different class of physical problems. To tackle a new problem, the novel approach of first discussing the physically relevant scales, then identifying the small parameters and their roles in the normalized governing equations is adopted. The details of asymptotic analysis are only explained afterwards.

Principles of Multiscale Modeling

Weinan E
Principles of Multiscale Modeling Book PDF

Author : Weinan E
Publisher : Cambridge University Press
Page : 485 pages
File Size : 41,6 Mb
Release : 2011-07-07
Category : Mathematics
ISBN : 9781107096547

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Principles of Multiscale Modeling by Weinan E Pdf

A systematic discussion of the fundamental principles, written by a leading contributor to the field.

Multiscale Methods

G A Pavliotis,A. Stuart
Multiscale Methods Book PDF

Author : G A Pavliotis,A. Stuart
Publisher : Springer
Page : 0 pages
File Size : 47,6 Mb
Release : 2008-11-01
Category : Mathematics
ISBN : 038752035X

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Multiscale Methods by G A Pavliotis,A. Stuart Pdf

This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.

Computational Multiscale Modeling of Fluids and Solids

Martin Oliver Steinhauser
Computational Multiscale Modeling of Fluids and Solids Book PDF

Author : Martin Oliver Steinhauser
Publisher : Springer Science & Business Media
Page : 863 pages
File Size : 42,6 Mb
Release : 2008
Category : Science
ISBN : 9783540751168

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Computational Multiscale Modeling of Fluids and Solids by Martin Oliver Steinhauser Pdf

The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the physical basic principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale. The chapters follow this classification. The book will explain in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are occasionally included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. Methods are explained, if possible, on the basis of the original publications but also references to standard text books established in the various fields are mentioned.