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APPM Department Colloquium - William J. Layton

William J. Layton,ÌýDepartmentÌýof Mathematics, University of Pittsburgh

5 ideas, good and bad, in computational fluid dynamics

ÌýThe goal of numerical analysis of the Navier-Stokes equations is toÌýextend the accuracy, reliability and predictive ability of numericalÌýsimulations of fluid motion. This extension means improving theÌýÌýcomplexity (space, computational and cognitive) of current methods.Ìý

ÌýThis talk will present 5 recent ideas, some good & some bad, and a key step in the mathematical foundation of each that have promise to do so. Ìý ThisÌý talk should be understandable by graduate students who have seen how to perform the basic energy estimate for the Navier-Stokes equations.