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Practical Multiscaling. Jacob Fish Columbia University. Wiley, July 2013. 3. Categories Hierarchical Multiscale Methods Scale separation: Scale-separation-free methods: Concurrent Multiscale Methods – the same as domain decomposition ???. What is multiscale method?.

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practical multiscaling

Practical Multiscaling

Jacob Fish

Columbia University

Wiley, July 2013

what is multiscale method
3. Categories

Hierarchical Multiscale Methods

Scale separation:

Scale-separation-free methods:

Concurrent Multiscale Methods – the same as domain decomposition ???

What is multiscale method?

1. There should be scales

Time

2. It should be useful:

Space

motivation divergence between academia and practic e
MotivationDivergence between academia and practice

Popularity:4,040,000 google search hits, 4 journals, 12 faculty positions,

800 talks USNCCM 11

Applications: composites, porous media, turbulence, atmosphere, finance, etc.

Penetration - composites: 7.25%, growing @12%

Testing

$$$$$$

Multiscale software sales: $ 20 million ??

Composite Materials Handbook CMH-17

scope of the book
Scope of the Book

Chapter 5

Scale-separation-free &

computationally viable methods

Chapter 2

Chapter 4

Chapter 3

Reduced Order Upscaling

Hierarchy of models, locking of lower order models

Upscaling/Downscaling of Continua

Homogenization, linear, nonlinear, multiple scales, multiphysics, fatigue, boundary layers

Upscaling/Downscaling of Atomistic/Continuum Media

Going beyond upscaling

Chapter 6

Integrated, user-friendly, free multiscale software