Numerical experiments on application of Richardson extrapolation with nonuniform grids
JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, vol.119, no.3, pp.584-590, 1997 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 119 Issue: 3
- Publication Date: 1997
- Doi Number: 10.1115/1.2819284
- Journal Name: JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.584-590
- Middle East Technical University Affiliated: No
Abstract
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-epsilon 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.