A defect correction approach to turbulence modeling
Document Type
Article
Publication Date
1-2015
Department
Department of Mathematical Sciences
Abstract
A method for resolving turbulent flow problems is presented, aiming at competing with the existing mathematical tractable Approximate Deconvolution Models in terms of accuracy, and outperforming these models in terms of the computational time needed. Full numerical analysis is performed, and the method is shown to be stable, easy to implement and parallelize, and computationally fast. The proposed method employs the defect correction approach to solve spatially filtered Navier-Stokes equations. A simple numerical test is provided that compares the method against the approximate deconvolution turbulence model (ADM). When resolving a fluid flow at high Reynolds number, the numerical example verifies the key feature of the method: while having the accuracy comparable to that of the ADM, the method computes in less than 80% of the time needed for the turbulence model-even before the parallelization.
Publication Title
Numerical Methods for Partial Differential Equations
Recommended Citation
Labovsky, A. E.
(2015).
A defect correction approach to turbulence modeling.
Numerical Methods for Partial Differential Equations,
31(1), 268-288.
http://doi.org/10.1002/num.21903
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3801
Publisher's Statement
© 2014 Wiley Periodicals, Inc. Publisher’s version of record: https://doi.org/10.1002/num.21903