Multiscale Modeling - Björn Engquist
On 13 December at KTH and on 14 December at Uppsala University, Björn Engquist, PhD (Univ. of Texas-Austin) gave lectures on multiscale modeling.
This program was sponsored by The Boston Consulting Group
The lectures were introductory in approach and required only some familiarity with basic numerical methods.
In multiscale processes different phenomena interact on different scales in time and space. Computer simulations of such processes are challenging since the smallest scales must be accurately represented over domains that cover the largest scales. This results in a very large number of unknowns and prohibitingly long computing times. We will briefly discuss analytical techniques and then focus on numerical multiscale methods, which have been developed to overcome this difficulty. We will illustrate these technologies by the examples of turbulent flow and the coupling between molecular and continuum models. We will also discuss some connections between multiscale modeling, information theory and data compression.