Sergey Karabasov “Computational approaches for multiscale modelling in fluid dynamics”
Date: Fri 23 Mar 2012, 13:30 - 14:30
Location: SEMS Seminar Room
Dr Sergey Karabasov from the Department of Engineering at the University of Cambridge
Multiscale problems are encountered in many areas of unsteady fluid dynamics modelling. For their solution, one typically requires a model which has two key components.
One component is a high-resolution computational algorithm for accurately solving unsteady flow equations with a limited number of degrees of freedom. One of such algorithms, the so-called CABARET scheme developed by authors, will be considered in this talk and examples of its applications for direct simulation of acoustic and hydrodynamic flows will be discussed.
The other important component is a technique for coupling coarse-scales with fine-scales within the same computational framework. For this talk, two topical fluid dynamics applications that require multiscale coupling schemes will be considered. One is the modelling of sound generated by aerodynamic flows using the Lighthill acoustic analogy and its recent developments by the authors. The other example is micro/nano-scale flow modelling using Landau-Lifshitz Fluctuating Hydrodynamics equations within a variable space-time-scale approach.