Various pressure-based schemes are proposed for transient ¯ows based on well-established SIMPLE and PISO algorithms. The schemes are applied to the solution of unsteady laminar ¯ow around a square cylinder and steady laminar ¯ow over a backward-facing step. The implicit treatment and the performance
A comparison of algorithms for stream flow recession and baseflow separation
✍ Scribed by Tom Chapman
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 168 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0885-6087
No coin nor oath required. For personal study only.
✦ Synopsis
Simple hydraulic models for out¯ow of groundwater into a stream suggest that the form of the storage± discharge relationship for groundwater changes from linear, for a con®ned aquifer, to quadratic, for an uncon®ned ¯ow. Tests of the form of stream ¯ow recessions in 11 streams, during periods of no recharge, show that for most catchments the storage±discharge relationship is more strongly non-linear than the quadratic form. However, for the commonly occurring case of recessions of duration up to about 10 days, the linear model remains a very good approximation, using a biased value of the groundwater turnover time. In contrast, estimates, from the stream hydrograph, of recharge during a storm event are very sensitive to the form of the storage±discharge relationship. The results of this study also show great variability in the parameters of the recession algorithm from one recession to another, attributable to spatial variability in groundwater recharge. An extension of the linear model to `leaky' catchments, where the recession reaches zero ¯ow, has been tested on two data sets.
The second part of the paper deals with algorithms for base¯ow during surface runo events Ð the problem of hydrograph separation. Algorithms with one, two and three parameters have been compared, using data for the same 11 streams, and the results show signi®cant dierences in the base¯ow index (BFI) predicted for some catchments. The two-parameter algorithm, which is ®tted subjectively, is more consistent in providing plausible results than either the one-or three-parameter algorithms, both of which can be ®tted objectively.
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