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Lecture Notes in Applied and Computational Mechanics

Multiscale Methods in Computational Mechanics

Progress and Accomplishments

Editors: de Borst, Rene, Ramm, Ekkehard (Eds.)

  • State-of-the-art research written by internationally leading experts
  • Relatively new field currently seeing many new developments
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About this book

Many features in the behaviour of structures, materials and flows are caused by phenomena that occur at one to several scales below common levels of observation. Multiscale methods account for this scale dependence: They either derive properties at the level of observation by repeated numerical homogenization of more fundamental physical properties defined several scales below (upscaling), or they devise concurrent schemes where those parts of the domain that are of interest are computed with a higher resolution than parts that are of less interest or where the solution is varying only slowly. This work is a result of a sustained German-Dutch cooperation and written by internationally leading experts in the field and gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies are 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.

Table of contents (21 chapters)

  • Residual-Based Variational Multiscale Theory of LES Turbulence Modeling

    Bazilevs, Y. (et al.)

    Pages 3-18

  • A Posteriori Error Estimation for Computational Fluid Dynamics: The Variational Multiscale Approach

    Hauke, Guillermo (et al.)

    Pages 19-38

  • Advances in Variational Multiscale Methods for Turbulent Flows

    Gamnitzer, Peter (et al.)

    Pages 39-52

  • Variational Germano Approach for Multiscale Formulations

    Akkerman, Ido (et al.)

    Pages 53-73

  • Dissipative Structure and Long Term Behavior of a Finite Element Approximation of Incompressible Flows with Numerical Subgrid Scale Modeling

    Codina, Ramon (et al.)

    Pages 75-93

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-90-481-9809-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-90-481-9808-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-94-007-3386-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Multiscale Methods in Computational Mechanics
Book Subtitle
Progress and Accomplishments
Editors
  • Rene de Borst
  • Ekkehard Ramm
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
55
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-90-481-9809-2
DOI
10.1007/978-90-481-9809-2
Hardcover ISBN
978-90-481-9808-5
Softcover ISBN
978-94-007-3386-2
Series ISSN
1613-7736
Edition Number
1
Number of Pages
XVIII, 446
Topics