Transport-limited fluvial erosion – simple formulation and efficient numerical treatment
<p>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 simple relationship of the constitutive law used here – often called stream-power law – to empirical results on long...
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2020-10-01
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| Series: | Earth Surface Dynamics |
| Online Access: | https://esurf.copernicus.org/articles/8/841/2020/esurf-8-841-2020.pdf |
| Summary: | <p>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 simple relationship of the
constitutive law used here – often called stream-power law – to empirical
results on longitudinal river profiles. Another no 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 formulation of transport-limited
erosion where the relationship to empirical results on river profiles is almost as
simple as it is for the stream-power law. 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 detachment-limited erosion. The numerical scheme
can also be applied to linear hybrid models that cover the range between the
two end-members of detachment-limited and transport-limited erosion.</p> |
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| ISSN: | 2196-6311 2196-632X |