IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Efficient algorithms for approximate deconvolution models of incompressible flow

  • Feb. 10, 2014
  • 1 p.m.
  • LeConte 312

Abstract

After an introduction to the Navier-Stokes equations and Large Eddy Simulation, we discuss discretization methods a recently developed LES model that is built on mathematical theory rather than physical phenomenology. We address the open question of how to devise numerical schemes for this model that are efficient, unconditionally stable, and optimally accurate. There are several important components to the schemes, both at the continuous and discrete levels, which allow for these properties to hold. The proofs of stability and convergence are carried out through the use of a special choice of test function and some technical estimates. Numerical tests are provided that confirm the theory, and show the effectiveness of the approach on a turbulent channel flow test problem.

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