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Identification of Manning’s Roughness Coefficient for Two-Dimensional (2D) Overland Surfaces Using an Optimization Technique-Based Numerical Methodology

Author(s): Saumava Dey; Aditya Narayan; Richa Dubey

Linked Author(s): Saumava Dey

Keywords: Ero-inertia flow Manning’s roughness coefficient Sensitivity equations Finite Volume method Sakawa-Shindo Algorithm

Abstract: Numerical models for surface flow modeling require the identification of the empirical parameter – Manning’s roughness coefficient (n), accounting for the frictional resistance offered by the surface on the flow. This work presents an optimization technique-based numerical methodology for the identification of ‘n’ for 2D overland surfaces. The Sakawa-Shindo (SS) algorithm, an iterative minimization technique for parameter identification in nonlinear dynamic systems, has been coupled with the Finite Volume (FV) method-based zero-inertia (ZI) model – surfaceFlowFOAM, for the estimation of ‘n’. The sensitivity equations for ZI flow have been derived by conducting the perturbation analysis. A solver for the derived ZI sensitivity equations has been developed and added to the framework of surfaceFlowFOAM. The applicability of the developed methodology has been examined on a hypothetical 2D square-shaped domain yielding highly accurate estimates of ‘n’ for the overland surface.

DOI:

Year: 2025

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