Some self-similar solutions in river morphodynamics
[1] Aggradation and degradation in one-dimensional channels are often modeled with a simplified nonlinear diffusion equation. Different degrees of nonlinearity are obtained using the Chezy and Manning/Gauckler-Strickler laws for the friction coefficient combined with a sediment transport equation having a generalized form of the Meyer-Peter and Müller formula. Analytical self-similar solutions for the "dam break" and the base-level lowering are presented. While the linear case corresponds to the classic diffusion equation, the main effect of the nonlinearity appears to be the presence of singularities in the self-similar solutions, related to the finite speed of propagation of perturbations. Copyright 2005 by the American Geophysical Union.
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Related Subject Headings
- Environmental Engineering
- 4011 Environmental engineering
- 4005 Civil engineering
- 3707 Hydrology
- 0907 Environmental Engineering
- 0905 Civil Engineering
- 0406 Physical Geography and Environmental Geoscience
Citation
Published In
DOI
ISSN
Publication Date
Volume
Issue
Start / End Page
Related Subject Headings
- Environmental Engineering
- 4011 Environmental engineering
- 4005 Civil engineering
- 3707 Hydrology
- 0907 Environmental Engineering
- 0905 Civil Engineering
- 0406 Physical Geography and Environmental Geoscience