Meandering River Dynamics
This is a kinematic model that is based on computing migration rate as the weighted sum of upstream curvatures; flow velocity does not enter the equation. Curvature is transformed into a 'nominal migration rate' through multiplication with a migration rate (or erodibility) constant; in the Howard and Knutson, 1984 paper this is a nonlinear relationship based on field observations that suggested a complex link between curvature and migration rate.
In the 'meanderpy' module we use this linear relationship between the nominal migration rate and curvature, as recent work using time-lapse satellite imagery suggests that high curvatures result in high migration rates (Sylvester et al., 2019).
You can read more about the model, find references at: https://csdms.colorado.edu/wiki/Model:Meanderpy.
There is a keynote lecture on the concepts behind this model that you can watch here:https://csdms.colorado.edu/wiki/Presenters-0433
This is a self-contained jupyter notebook using meander py. It is recommended the instructor introduces concepts of meandering rivers, and students read papers on meadner migration rate - i.e. the papers directly associated with the model. Students can run through the examples, and then assignments can be worked on plenary in a lab style class or as homework. It is recommended that results are being discussed plenary after the completion of the exercises.
Download associated file: MeanderRiverDynamics slides.ppt
- learn how to save a plot in python, and make a movie from a model simulation
- implement basic calculations of river hydraulics and morphological relationships on command line
- learn about the planview morphology of meandering rivers
- learn how to quantify sinuosity, relationship between slope,
- learn how meandering rivers migrate
Notes are in the associated jupyter notebook.
- Sylvester, Z., Durkin, P., and Covault, J.A., 2019, High curvatures drive river meandering: Geology, v. 47, p. 263–266, doi:10.1130/G45608.1.
- Howard, A, Knutson, T., 1994. Sufficient conditions for meandering.