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Multiscale Modeling and Simulation in Science (Paperback, 2009 ed.)
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Multiscale Modeling and Simulation in Science (Paperback, 2009 ed.)
Series: Lecture Notes in Computational Science and Engineering, 66
Expected to ship within 10 - 15 working days
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Most problems in science involve many scales in time and space. An
example is turbulent ?ow where the important large scale quantities
of lift and drag of a wing depend on the behavior of the small
vortices in the boundarylayer. Another example is chemical
reactions with concentrations of the species varying over seconds
and hours while the time scale of the oscillations of the chemical
bonds is of the order of femtoseconds. A third example from
structural mechanics is the stress and strain in a solid beam which
is well described by macroscopic equations but at the tip of a
crack modeling details on a microscale are needed. A common
dif?culty with the simulation of these problems and many others in
physics, chemistry and biology is that an attempt to represent all
scales will lead to an enormous computational problem with
unacceptably long computation times and large memory requirements.
On the other hand, if the discretization at a coarse level
ignoresthe?nescale
informationthenthesolutionwillnotbephysicallymeaningful. The
in?uence of the ?ne scales must be incorporated into the model.
This volume is the result of a Summer School on Multiscale Modeling
and S- ulation in Science held at Boso n, Lidingo outside
Stockholm, Sweden, in June 2007. Sixty PhD students from applied
mathematics, the sciences and engineering parti- pated in the
summer school."
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