Abstract
This work addresses the verification of multidimensional and transient numerical solutions based on Richardson extrapolation techniques. Alternative extrapolation strategies based on both simultaneous (SCR) and independent (ICR) space-and-time coordinates refinement studies are investigated. Extrapolation strategies studied encompass the generalized Richardson extrapolation (GRE) based on both the local and the global observed order of accuracy, and the mixed-order Richardson extrapolation (MORE). Performance of all verification methods investigated has been tested on a manufactured solution and on the flows in different piston–cylinder configurations. Results reveal that the global observed order of accuracy and the postprocessing estimators obtained from ICR studies can provide useful information on which the most suitable verification methods can be selected.
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