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Numerical Experiments on Application of Richardson Extrapolation With Nonuniform Grids
Open accessAbstract
Some unresolved problems related to Richardson extrapolation (RE) are elucidated via examples, and possible remedies are suggested. The method is applied to the case of turbulent flow past a backward facing step using nonuniform grid distributions. It is demonstrated that RE can be used to obtain grid independent solutions using the same grid refinement factors in both coordinate directions. The use of generalized wall functions together with the standard k-ε model seems to work well even if the grid refinement extends into the viscous sublayer. In addition, the grid convergence index and other standard uncertainty measures are compared, and a new uncertainty measure is suggested which seems to be a better indicator for the grid convergence error.
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Citations
Cited by
Procedure for Estimation and Reporting of Uncertainty Due to Discretization in CFD Applications
(2008) · Journal of Fluids Engineering · doi:10.1115/1.2960953 · Cited by 4,327
Factors of Safety for Richardson Extrapolation
Xing, T., & Stern, F. (2010) · Journal of Fluids Engineering · doi:10.1115/1.4001771 · Cited by 403
Quantitative V&V of CFD simulations and certification of CFD codes
Stern, F., Wilson, R., & Shao, J. (2006) · International Journal for Numerical Methods in Fluids · doi:10.1002/fld.1090 · Cited by 287
Metadata
- Authors
- Celik, I., & Karatekin, O.
- Venue
- Journal of Fluids Engineering
- Publisher
- ASME International
- Published
- 1997-09-01
- Volume
- 119
- Issue
- 3
- Pages
- 584-590
- ISSN
- 0098-2202 (ISSN-L)
- 1528-901X
- OpenAlex
- W2009722134
- Cited by
- 262
- References
- 0
- FWCI
- 1.94
- Type
- journal article
- Language
- en
- Open access
- green
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- Celik, I., & Karatekin, O. (1997). Numerical Experiments on Application of Richardson Extrapolation With Nonuniform Grids. Journal of Fluids Engineering. https://doi.org/10.1115/1.2819284
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