Papers Published

1. Daly, E. and Porporato, A., Some self-similar solutions in river morphodynamics, Water Resources Research, vol. 41 no. 12 (2005), pp. 12503 - [2005WR004488] .
   (last updated on 2007/04/09)

   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 Muller 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.

   Keywords:
   Degradation;Channel flow;Diffusion in liquids;Sediment transport;Transport properties;Perturbation techniques;