Ritter's dam break model: when and where did a water column begin to move?
(2025) , 16 pages
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- Authors
- Abstract
- We revisit Ritter's highly idealised dam break flow model, with the aim of developing presumably novel diagnoses thereof. We use some of CART's (Constituent-oriented Age and Residence time Theory, http://www.climate.be/cart) tools in order to evaluate every water column age, i.e., the time elapsed it started moving. In the process, we also derive two types of water age distribution functions as well as the starting time and location of every water column. For all of the aforementioned diagnoses, we obtain self-similar, analytical expressions. An approach independent of CART is also adopted, which leads to similar solutions, thereby yielding some form of cross-validation. We provide a concrete illustration of the obtained results by loosely seeking inspiration in the issues faced by Zambezi River's Kariba dam.
- Affiliations
Citations
Deleersnijder, E. (2025). Ritter’s dam break model: when and where did a water column begin to move?