Multiscale Space-Time Computational Methods for Fluid-Structure Interactions
Technical Report,13 Jun 2012,12 Jun 2015
William Marsh Rice University Houston
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Fluid-structure interaction FSI is known to be one of the most challenging classes of problems in scientific computing. With creative methods for coupling the fluid and structure, we can increase the scope and efficiency of the FSI modeling. Multiscale methods, which now play an important role in computational mathematics, can also increase the accuracy and efficiency of the computer modeling techniques. The main objective of this project is to develop new multiscale methods specifically targeting FSI computations. Some of these methods are multiscale in the way the time-integration technique is performed i.e. temporally multiscale, some are multiscale in the way the spatial discretization is done i.e. spatially multiscale, and some are in the context of the sequential-coupling techniques that we are developing in this project. The objectives of the project include determining the range of applicability of these multiscale and sequential-coupling techniques and generating an engineers guide to multiscale FSI computations.
- Fluid Mechanics