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\begin{document}

\title{A flow-curvature-based model for channel meandering in tidal marshes}



\author[1,2]{Giulio Mariotti}%
\author[3]{Alvise Finotello}%
\affil[1]{Department of Oceanography and Coastal Sciences, Louisiana State University}%
\affil[2]{Center for Computation and Technology, Louisiana State University}%
\affil[3]{Department of Geosciences, University of Padova}%


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  \date{May 27, 2024}


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\begin{abstract}
Channel meandering is ubiquitous in tidal marshes, yet it is routinely
omitted in morphodynamic models. Here we propose a novel numerical
method to simulate channel meandering in tidal marshes on a Cartesian
grid. The method calculates a first-order flow by considering the
balance between pressure gradient and bed friction. To account for flow
momentum shift towards meander outer banks, the flow is empirically
modified. Unlike previous simplified methods that relied on the
curvature of the bank, this modification is based on the curvature of
the flow, making the model suitable for use in dendritic channel
networks. The modified flow intrinsically accounts for the topographic
steering effect, which tends to deflect the momentum toward the outer
bank. As a result, the outer bank becomes steeper and erodes due to soil
creep. Additionally, the outer bank experiences erosion proportional to
the flow curvature. This erosion mechanism parameterizes the direct
erosion caused by flow impacting the bank through a proportionality
coefficient, which modulates the rate of lateral channel migration.
Deposition on the inner bank is automatically simulated by the model,
triggered by reduced bed shear stress in that area. The model accurately
reproduces meander sinuosity, migration rates, and associated processes
such as cutoffs, channel piracies, and network reorganizations. The
model provides an efficient tool for predicting marsh landscape
evolution from decades to millennia, which will enable exploring how
lateral migration and meandering of tidal channels affect marsh
ecomorphodynamics, carbon and nutrient cycling, drainage efficiency, and
pond dynamics.%
\end{abstract}%



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