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Linear layout of multiple flow-direction networks for landscape-evolution simulations

Publication ,  Journal Article
Anand, SK; Hooshyar, M; Porporato, A
Published in: Environmental Modelling and Software
November 1, 2020

We present an algorithm that is well suited to find the linear layout of the multiple flow-direction network (directed acyclic graph) for an efficient implicit computation of the erosion term in landscape evolution models. The time complexity of the algorithm varies linearly with the number of nodes in the domain, making it very efficient. The resulting numerical scheme allows us to achieve accurate steady-state solutions in conditions of high erosion rates leading to heavily dissected landscapes. We also establish that contrary to single flow-direction methods such as D8, D∞ multiple flow-direction method follows the theoretical prediction of the linear stability analysis and correctly captures the transition from smooth to the channelized regimes. We finally show that the obtained numerical solutions follow the theoretical temporal variation of mean elevation.

Duke Scholars

Published In

Environmental Modelling and Software

DOI

ISSN

1364-8152

Publication Date

November 1, 2020

Volume

133

Related Subject Headings

  • Environmental Engineering
 

Citation

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Anand, S. K., Hooshyar, M., & Porporato, A. (2020). Linear layout of multiple flow-direction networks for landscape-evolution simulations. Environmental Modelling and Software, 133. https://doi.org/10.1016/j.envsoft.2020.104804
Anand, S. K., M. Hooshyar, and A. Porporato. “Linear layout of multiple flow-direction networks for landscape-evolution simulations.” Environmental Modelling and Software 133 (November 1, 2020). https://doi.org/10.1016/j.envsoft.2020.104804.
Anand SK, Hooshyar M, Porporato A. Linear layout of multiple flow-direction networks for landscape-evolution simulations. Environmental Modelling and Software. 2020 Nov 1;133.
Anand, S. K., et al. “Linear layout of multiple flow-direction networks for landscape-evolution simulations.” Environmental Modelling and Software, vol. 133, Nov. 2020. Scopus, doi:10.1016/j.envsoft.2020.104804.
Anand SK, Hooshyar M, Porporato A. Linear layout of multiple flow-direction networks for landscape-evolution simulations. Environmental Modelling and Software. 2020 Nov 1;133.
Journal cover image

Published In

Environmental Modelling and Software

DOI

ISSN

1364-8152

Publication Date

November 1, 2020

Volume

133

Related Subject Headings

  • Environmental Engineering