Abstract
[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.
| Original language | English (US) |
|---|---|
| Article number | W12503 |
| Pages (from-to) | 1-5 |
| Number of pages | 5 |
| Journal | Water Resources Research |
| Volume | 41 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2005 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Water Science and Technology