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Earth Surface Dynamics An interactive open-access journal of the European Geosciences Union
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Preprints
https://doi.org/10.5194/esurf-2020-39
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/esurf-2020-39
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Submitted as: research article 15 Jun 2020

Submitted as: research article | 15 Jun 2020

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This preprint is currently under review for the journal ESurf.

Transport-limited fluvial erosion – simple formulation and efficient numerical treatment

Stefan Hergarten Stefan Hergarten
  • Institut für Geo- und Umweltnaturwissenschaften, Albertstr. 23B, 79104 Freiburg, Germany

Abstract. Most of the recent studies modeling fluvial erosion in the context of tectonic geomorphology focus on the detachment-limited regime. One reason for this simplification is the direct relationship of the constitutive law used here – often called stream-power law – to empirical results on longitudinal river profiles. Another, not less important reason lies in the numerical effort that is much higher for transport-limited models than for detachment-limited models. This study proposes a simple formulation of transport-limited erosion that is as close to empirical results on river profiles as the stream-power law is. As a central point, a direct solver for the fully implicit scheme is presented. This solver requires no iteration for the linear version of the model, allows for arbitrarily large time increments, and is almost as efficient as the established implicit solver for transport-limited erosion. The numerical scheme can also be applied to linear models between the two extremes of detachment-limited and transport-limited erosion.

Stefan Hergarten

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Latest update: 01 Jul 2020
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Short summary
Many contemporary models of large-scale fluvial fluvial erosion focus on the detachment-limited regime where all material entrained by the river is immediately excavated. This limitation facilitates the comparison with real river profiles and strongly reduces the numerical complexity. Here a simple formulation for the opposite case, transport-limited erosion, and a new numerical scheme that achieves almost the same numerical efficiency as detachment-limited models are presented.
Many contemporary models of large-scale fluvial fluvial erosion focus on the detachment-limited...
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