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- W76545818 abstract "Determination of the motion of particles in a viscous fluid is a problem found in disciplines including colloid science, suspension rheology and protein science. These low-Reynolds-number flows also from the basis of the new technologies that exploit microfluidics. Three-dimensional flows involving such complex fluid-solid boundaries gain a reduction in dimensionality by the use of integral representations that convert the governing PDEs to a two-dimensional integral equation. We describe a boundary integral formulation that yields a Fredholm integral equation of the second kind; these are amenable to iterative solution, an ideal strategy for parallel computing. For very large problems (systems on the order of 1, 000, 000 boundary elements) communication bottlenecks dictate a switch to asynchronous “Block Gauss-Siedel” iterations. The challenge is to design algorithms that scale up efficiently to large problems on large numbers of processors. Some ideas for tailoring scalable algorithms for scalable architectures will be presented." @default.
- W76545818 created "2016-06-24" @default.
- W76545818 creator A5012163398 @default.
- W76545818 date "2005-12-29" @default.
- W76545818 modified "2023-09-25" @default.
- W76545818 title "Parallel Computational Strategies for Viscous Hydrodynamics with Applications to Microfluidics" @default.
- W76545818 doi "https://doi.org/10.1007/0-306-47015-2_17" @default.
- W76545818 hasPublicationYear "2005" @default.
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