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Training Course Descriptions

Multiscale Computational Science and Engineering

Objective:

This intensive two-day course covers fundamental modeling techniques to bridge diverse physical scales. Such scales range from the atomic level to full-scale products. This course also addresses the challenges of multiple physical processes interacting at multiple spatial and temporal scales. Applications of multiscale technologies in the aerospace and automotive industries, as well as in the emerging fields of nanotechnology and biotechnology, are also discussed.

The course covers multiscale methods in both space and time. For each of these methods, both concurrent and information-passing approaches are covered. In the concurrent approach, multiscale methods are simultaneously resolved at various scales, whereas in the information-passing scheme, the fine scales are modeled their gross response infused into the coarse scale. Within the discussion of each approach, verification and validation issues of multiscale tools are emphasized. During the lectures users will learn:

  • Information-passing spatial multiscale approaches
  • Dual purpose spatial scale methods
  • Concurrent spatial multiscale approaches
  • Information-passing temporal multiscale approaches
  • Concurrent temporal multiscale approaches

 

Who should attend:

Due to the broad spectrum of application areas, this course is intended to be of interest and use to a varied audience, including:

  • Graduate students and researchers in academia and government laboratories who are interested in acquiring the fundamental skills that will enable them to advance in the field
  • Practitioners in the aerospace, pharmaceutical, electronics, and automotive industries who are interested in taking advantage of existing multiscale tools
  • Commercial software vendors who are interested in extending their product portfolios and tapping into new markets

Fee:

$975 includes:

  • Course notes
  • Lunch, and refreshments during breaks

Agenda

 

Spatial Multiscale Methods

  • Information-passing spatial multiscale approaches
    • Homogenization for linear and nonlinear problems
    • Implementation of homogenization in commercial software
    • Estimation of homogenization errors
    • Applications in material design, aerospace, and automotive industries
    • Reduced order homogenization
    • Experimental validation, verification, and calibration of various homogenization methods
  • Dual purpose spatial scale methods
    • Multiscale enrichment based on partition of unity
    • Quasicontinuum method
  • Concurrent spatial multiscale approaches
    • Domain decomposition-based methods
    • Superposition-based methods (coexisting domains)
    • Multilevel-based method
 

Temporal Multiscale Methods

  • Information-passing temporal multiscale approaches
    • Temporal homogenization: application to fatigue life predictions
    • Generalized mathematical homogenization: applications to nanotechnology
    • Constrained dynamics
    • Equation-Free method
    • Langevin framework
    • Kinetic Monte-Carlo
  • Concurrent temporal multiscale approaches
    • Space-time multilevel methods
    • Multiple timestep (MTS) methods
    • Subcycling methods

About the presenter:

With over twenty years of multiscale computational engineering experience in academia and in the field, Dr. Jacob Fish has published over one hundred journal articles and book chapters. He is also a recipient of the 2005 United States Association for Computational Mechanics (USACM) Computational Structural Mechanics Award given "in recognition of outstanding and sustained contributions to the broad field of Computational Structural Mechanics."

Dr. Fish is a Fellow of both the USACM and the International Association for Computational Mechanics (IACM). He is the Editor-in-Chief of the Journal of Multiscale Computational Engineering, as well as an Editorial Board Member for the International Journal for Numerical Methods in Engineering, the International Journal for Computational Methods in Engineering Science and Mechanics, and Computer Methods in Applied Mechanics and Engineering.

Some Additional Details

Further details and course registration can be found at http://feos.biz

 

Copyright© 2006, FEOS

 

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