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- Title
Some self-similar solutions in river morphodynamics.
- Authors
Daly, E.; Porporato, A.
- Abstract
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.
- Publication
Water Resources Research, 2005, Vol 41, Issue 12, pn/a
- ISSN
0043-1397
- Publication type
Article
- DOI
10.1029/2005WR004488