Perspective: A Method for Uniform Reporting of Grid Refinement Studies

[+] Author and Article Information
P. J. Roache

Ecodynamics Research Associates, Inc., P.O. Box 9229, Albuquerque, N.M. 87119

J. Fluids Eng 116(3), 405-413 (Sep 01, 1994) (9 pages) doi:10.1115/1.2910291 History: Received September 11, 1993; Revised June 06, 1994; Online May 23, 2008


This paper proposes the use of a Grid Convergence Index (GCI) for the uniform reporting of grid refinement studies in Computational Fluid Dynamics. The method provides an objective asymptotic approach to quantification of uncertainty of grid convergence. The basic idea is to approximately relate the results from any grid refinement test to the expected results from a grid doubling using a second-order method. The GCI is based upon a grid refinement error estimator derived from the theory of generalized Richardson Extrapolation. It is recommended for use whether or not Richardson Extrapolation is actually used to improve the accuracy, and in some cases even if the conditions for the theory do not strictly hold. A different form of the GCI applies to reporting coarse grid solutions when the GCI is evaluated from a “nearby” problem. The simple formulas may be applied a posteriori by editors and reviewers, even if authors are reluctant to do so.

Copyright © 1994 by The American Society of Mechanical Engineers
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