Duke Probability Theory and Applications
   Search Help Login Join pdf version printable version

Publications [#284233] of Amilcare Porporato

Papers Published

  1. Daly, E; Porporato, A, Some self-similar solutions in river morphodynamics, Water Resources Research, vol. 41 no. 12 (December, 2005), pp. 1-5, American Geophysical Union (AGU), ISSN 0043-1397 [2005WR004488], [doi]
    (last updated on 2023/08/08)

    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. Copyright 2005 by the American Geophysical Union.

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