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Practical Multiscaling

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

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  1. Practical Multiscaling Jacob Fish Columbia University Wiley, July 2013

  2. 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

  3. 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

  4. 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

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