Multiscale Methods in Computational Mechanics Progress and Accomplishments [Paperback]

This work gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies will be 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.

A Dutch-German research group that consists of qualified and well-known researchers in the field has worked for six years on the topic of computational multiscale mechanics. This text provides a unique opportunity to consolidate and disseminate the knowledge gained in this project. The addition of chapters written by experts outside this working group provides a broad and multifaceted view of this rapidly evolving field.

This work 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.

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; Plƒ*