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Discretization Error Estimation Using Error Transport Equation

[+] Author Affiliations
Ismail Celik, Gusheng Hu

West Virginia University, Morgantown, WV

Paper No. FEDSM2002-31372, pp. 615-626; 12 pages
  • ASME 2002 Joint U.S.-European Fluids Engineering Division Conference
  • Volume 2: Symposia and General Papers, Parts A and B
  • Montreal, Quebec, Canada, July 14–18, 2002
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 0-7918-3616-9 | eISBN: 0-7918-3600-2
  • Copyright © 2002 by ASME


The goal of this paper is to develop a dynamic algorithm that can be used in conjunction with computational fluid dynamics (CFD) simulation codes to quantify the discretization error in a selected process variable. The focus is on fluid dynamics applications where conservation equations are solved for primitive variables using finite difference and/or control volume approach. A transport equation for the error is formulated and solved along with a localized residual estimation based on modified equation concept. Spatiotemporal evolution of the error distribution is mapped and compared to exact error for various cases. A new method is suggested for deriving the modified equation specifically aimed at using it with commercial CFD codes which use finite volume approach.

Copyright © 2002 by ASME
Topics: Equations , Errors



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