Multiscale methods in computational mechanics

Multiscale methods in computational mechanics: progress and accomplishments

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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…

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Title Statements

  • Full title :Multiscale methods in computational mechanics : progress and accomplishments / René de Borst, Ekkehard Ramm (eds.).

Summary

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.

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Edition Statements

  • Publication Date:2011.

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:New York
  • Language:eng
  • Publication Date:2011.

The Physical Object

  • Description:1 online resource (xvii, 446 pages) : : (chiefly color), illustrations

Edition Identifiers

  • ISBN:9789048198092, 9048198097, 9048198089, 9789048198085
  • oclc:ocn694144642
  • LC Classification:QA76.9.C64
  • Dewey Decimal:620.1

Table of Contents

Content: Part 1: Computational Fluid Dynamics: Residual-based Variational Multiscale Theory of LES Turbulence Modeling, by Y. Bazilevs, V.M. Calo, T.J.R. Hughes, and G. Scovazzi -- A Posteriori Error Estimation for Computational Fluid Dynamics. The Variational Multiscale Approach, by G. Hauke, M.H. Doweidar, and D. Fuster -- Advances in Variational Multiscale Methods for Turbulent Flows, by P. Gamnitzer, V. Gravemeier, and W.A. Wall -- Variational Germano Approach for Multiscale Formulation, by I. Akkerman, S.J. Hulshoff, K.G. van der Zee, and R. de Borst -- Dissipative Structure and Long Term Behavior of a Finite Element Approximation of Incompressible Flows with Numerical Subgrid Scale Modeling, by R. Codina, J. Principe, and S. Badia -- Large-eddy Simulation of Multiscale Particle Dynamics at High Volume Concentration in Turbulent Channel Flow, by B.J. Geurts -- Part 2: Materials with Microstructure, An Incremental Strategy for Modeling Laminate Microstructures in Finite Plasticity - Energy Reduction, Laminate Orientation and Cyclic Behavior, by K. Hackl, and D.M. Kochmann -- The Micromorphic vs. Phase Field Approach to Gradient Plasticity and Damage with Application to Crackin…

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