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Multiscale Materials

Sidney Yip

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0014
Subject:
Mathematics, Applied Mathematics

Modeling and simulation across different length and time scales enables atomic-level understanding of materials properties and behavior which manifest at the meso- and macro-scales. Case studies of ... More


Numerical Simulation Of Microflows And Nanoflows

Narayan R. Aluru and George Em Karniadakis

in Micro/Nano Technology Systems for Biomedical Applications: Microfluidics, Optics, and Surface Chemistry

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199219698
eISBN:
9780191594229
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199219698.003.0003
Subject:
Mathematics, Mathematical Biology

In this chapter we review recent advances in numerical simulation of micro and nanoflows. For coarse-grained simulation of microfuidics, we present an overview of Lattice Boltzmann, Brownian ... More


Multiscale Sampling

Thomas J. Stohlgren

in Measuring Plant Diversity: Lessons from the Field

Published in print:
2006
Published Online:
September 2007
ISBN:
9780195172331
eISBN:
9780199790395
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195172331.003.0005
Subject:
Biology, Plant Sciences and Forestry

This chapter reveals that sampling plant diversity at multiple spatial scales may allow for a deeper understanding of relationships between species distributions and composition shifts relative to ... More


Multiscale Methods: Bridging the Scales in Science and Engineering

Jacob Fish (ed.)

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.001.0001
Subject:
Mathematics, Applied Mathematics

Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at larger space and time scales. In view of the increasing need of ... More


Error Estimates for Multiscale Operator Decomposition for Multiphysics Models

D. Estep

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0011
Subject:
Mathematics, Applied Mathematics

Multiphysics, multiscale models present significant challenges in terms of computing accurate solutions and for estimating the error in information computed from numerical solutions. In this chapter, ... More


Component Software for Multiscale Simulation

M.S. Shephard, M.A. Nuggehally, B. FranzDale, C.R. Picu, J. Fish, O. Klaas, and M.W. Beall

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0012
Subject:
Mathematics, Applied Mathematics

Building on a general abstraction of the steps and transformations of a multiscale analysis, this chapter considers an approach to the development of multiscale simulation in which interoperable ... More


Mixed Multiscale Finite Element Methods on Adaptive Unstructured Grids Using Limited Global Information

J. E. Aarnes, Y. Efendiev, T.Y. Hou, and L. Jiang

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0001
Subject:
Mathematics, Applied Mathematics

We study mixed multiscale finite element methods (MsFEM) on unstructured coarse grids. Unstructured grids are often used when highly heterogeneous reservoirs are discretized via irregular anisotropic ... More


Formulations of Mechanics Problems for Materials with Self-Similar Multiscale Microstructure

R.C. Picu and M.A. Soare

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0002
Subject:
Mathematics, Applied Mathematics

A broad range of natural and man-made materials, such as the trabecular bone, aerogels have hierarchical microstructure. Performing efficient design of structures made from such materials requires ... More


N-Scale Model Reduction Theory

Jacob Fish and Zheng Yuan

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0003
Subject:
Mathematics, Applied Mathematics

A model reduction approach aimed at systematically reducing computational complexity of multiple scale homogenization for nonlinear history-dependent problems is developed. The so-called N-scale ... More


Concurrent Coupling of Atomistic and Continuum Models

Mei Xu

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter presents a review of concurrent multiscale methods for coupling continuum, molecular, and quantum mechanics with a particular emphasis on the Bridging Domain Method. An expanded taxonomy ... More


Coarse-Grained Molecular Dynamics: Concurrent Multiscale Simulation at Finite Temperature Protect 1

Robert E. Rudd

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0005
Subject:
Mathematics, Applied Mathematics

Coarse-grained molecular dynamics (CGMD) is a computer modeling technique that couples conventional molecular dynamics (MD) in some spatial regions of the simulation to a more coarse-grained ... More


Blending Methods for Coupling Atomistic and Continuum Models

P. Bochev, R. Lehoucq, M. Parks, S. Badia, and M. Gunzburger

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0006
Subject:
Mathematics, Applied Mathematics

We review some recent developments in the coupling of atomistic and continuum models based on the blending of the two models in an overlap, or bridge, subdomain. These coupling schemes resemble ... More


Principles of systematic upscaling

Achi Brandt

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0007
Subject:
Mathematics, Applied Mathematics

Building on the complementary advantages of Renormalization Group (RG) and multigrid (MG) methods, Systematic Upscaling (SU) comprises rigorous procedures for deriving suitable variables and ... More


On Multiscale Computational Mechanics with Time-Space Homogenization

P. Ladevèze, David Néron, and Jean-Charles Passieux

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0009
Subject:
Mathematics, Applied Mathematics

The chapter deals with multiple scales in both space and time. First, the state-of-the-art is presented. Then, we discuss a family of computational approaches using time-space homogenization. ... More


MULTISCALE COMPUTER SIMULATION METHODS

Nasr M. Ghoniem and Daniel D. Walgraef

in Instabilities and Self-Organization in Materials: Volume I: Fundamentals of Nanoscience, Volume II: Applications in Materials Design and Nanotechnology

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199298686
eISBN:
9780191720222
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199298686.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

Computational modelling of materials behaviour is becoming a reliable tool of scientific investigation, complementary to traditional theory and experimentation. The Multiscale Materials Modelling ... More


The Bigger Picture: Integrated Multiscale Models

Roger White, Guy Engelen, and Inge Uljee

in Modeling Cities and Regions As Complex Systems: From Theory to Planning Applications

Published in print:
2015
Published Online:
May 2016
ISBN:
9780262029568
eISBN:
9780262331371
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262029568.003.0007
Subject:
Political Science, Environmental Politics

Spatial structure is the result of locational decisions reflecting criteria operating at a variety of scales. Thus the CA land use model is augmented with a regionalized, spatial interaction based ... More


Dislocations, Mesoscale Simulations and Plastic Flow

Ladislas Kubin

Published in print:
2013
Published Online:
May 2013
ISBN:
9780198525011
eISBN:
9780191756238
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525011.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

In the past twenty years, new experimental approaches, improved models and progress in simulation techniques have brought new insights into longstanding issues concerning dislocation-based plasticity ... More


Atomistic Spin Dynamics: Foundations and Applications

Olle Eriksson, Anders Bergman, Lars Bergqvist, and Johan Hellsvik

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198788669
eISBN:
9780191830747
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788669.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

The purpose of this book is to provide a theoretical foundation and an understanding of atomistic spin-dynamics, and to give examples of where the atomistic Landau-Lifshitz-Gilbert equation can and ... More


Multiscale organization

Curtis Roads

in Composing Electronic Music: A New Aesthetic

Published in print:
2015
Published Online:
August 2015
ISBN:
9780195373233
eISBN:
9780190232900
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195373233.003.0009
Subject:
Music, Theory, Analysis, Composition

Chapter 9 is the core of the book, as it touches on the essence of composing: organizing sound. While other chapters examine different elements deployed in the game, this chapter addresses the game ... More


Hybrid Simulation Modeling in Population Health

Sally C. Brailsford, Dave C. Evenden, and Joe Viana

in Complex Systems and Population Health

Published in print:
2020
Published Online:
July 2020
ISBN:
9780190880743
eISBN:
9780190880774
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190880743.003.0015
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

Hybrid simulation is particularly useful in population health, since healthcare systems are characterized by both dynamic and stochastic complexity and the use of one single simulation approach may ... More


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