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See the documentation athydroecology.net/rivr

This package is designed as an educational tool for students and instructorsof undergraduate and graduate courses in open channel hydraulics. Functions areprovided for computing flow and channel geometry, normal and critical depth,gradually-varied water-surface profiles (e.g. backwater curves) and unsteadyflow (e.g. flood wave routing). For more information, seeour article in the R Journal.