Benha University

Mohammad Mahmoud Mohammad Ibrahim

Professor

Faculty of Engineering, Shoubra Civil Engineering

Scaling Approaches for Manning’s Roughness Coefficient in Reduced-Scale Hydrodynamic River Simulations With Delft3D

Water Resources Management • 2026
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Publication Information
Authors Amira S. Farag, Mohamed B. Ezzat, M. M. Ibrahim
Keywords Not Available
Journal Water Resources Management
Publisher Not Available
Volume 40
Issue Not Available
Pages Not Available
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
Despite extensive theoretical work on Manning’s roughness coefficient (n) in hydraulic literature, its numerical validity across multiple scales in two-dimensional depth-averaged (2DH) frameworks remains poorly quantified. This study addresses this gap by developing a systematic multi-scale calibration protocol applied to a complex reach of a large alluvial river. The novelty lies in the simultaneous evaluation of three geometric ratios (1:10, 1:20, and 1:30) within a single modeling environment to derive an empirically grounded scaling relationship. Results demonstrate that prototype roughness is not directly transferable: unscaled parameters yield errors 25 to 50 times greater than optimal configurations. A non-linear power-law relationship is identified between the scale ratio and the required roughness reduction, achieving 98% mean agreement with classical Froude–Manning theory. Crucially, this research identifies the 1:20 scale as the optimal threshold for minimizing scale-induced numerical distortions. By quantifying the slight deviation from theoretical exponents caused by the numerical “absorption” of three-dimensional turbulent structures into two-dimensional parameters, this work provides a physics-based predictive tool that eliminates subjective trial-and-error calibration in downscaled river simulations.
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