Approximate Deconvolution Operators and Models

  • William J. Layton
  • Leo G. Rebholz
Part of the Lecture Notes in Mathematics book series (LNM, volume 2042)


The great challenge in simulation of turbulent flows from applications ranging from geophysics to biomedical device design is that equations for the pointwise flow quantities are well-known but intractable to computational solution and sensitive to uncertainties and perturbation in problem data. On the other hand, closed equations for the averages of flow quantities cannot be obtained directly from the physics of fluid motion.


Large Eddy Simulation Strong Solution Turbulent Velocity Consistency Error Deconvolution Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • William J. Layton
    • 1
  • Leo G. Rebholz
    • 2
  1. 1.Dept. MathematicsUniversity of PittsburghPittsburghUSA
  2. 2.Department of Mathematical SciencesClemson UniversityClemsonUSA

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