Single Grid Error Estimation Using Error Transport Equation-Reference-Cited by-同舟云学术

Single Grid Error Estimation Using Error Transport Equation

Published:2004-09-01 Issue:5 Volume:126 Page:778-790
ISSN:0098-2202
Container-title:Journal of Fluids Engineering
language:en
Short-container-title:

Author:

Celik Ismail¹,Hu Gusheng¹

Affiliation:

1. Department of Mechanical and Aerospace Engineering, West Virginia University, Morgantown, WV 26505-6106

Abstract

This paper presents an approach to quantify the discretization error as well as other errors related to mesh size using the error transport equation (ETE) technique on a single grid computation. The goal is to develop a generalized algorithm that can be used in conjunction with computational fluid dynamics (CFD) codes to quantify the discretization error in a selected process variable. The focus is on applications where the conservation equations are solved for primitive variables, such as velocity, temperature and concentration, using finite difference and/or finite volume methods. An error transport equation (ETE) is formulated. A generalized source term for the ETE is proposed based on the Taylor series expansion and accessible influence coefficients in the discretized equation. Representative examples, i.e., one-dimensional convection diffusion equation, two-dimensional Poisson equation, two-dimensional convection diffusion equation, and non-linear one-dimensional Burger’s equation are presented to verify this method and elucidate its properties. Discussions are provided to address the significance and possible potential applications of this method to Navier-Stokes solvers.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/fluidsengineering/article-pdf/126/5/778/5628975/778_1.pdf

Reference21 articles.

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2. Richardson, L. F., and Gaunt, J. A., 1927, “The Deferred Approach to the Limit,” Philos. Trans. R. Soc. London, Ser. A, 226, pp. 299–361.

3. Celik, I., Chen, C. J., Roache, P. J., and Scheurer, G., eds., 1993, Quantification of Uncertainty in Computational Fluid Dynamics, ASME Publ. No. FED-Vol. 158, ASME Fluids Engineering Division Summer Meeting, Washington, DC, 20–24 June.

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