A One-Way Coupled Hydrodynamic Advection-Diffusion Model to Simulate Congested Large Wood Transport

Persi, Elisabetta; Petaccia, Gabriella; Sibilla, Stefano; Bentivoglio, Roberto; Armanini, Aronne

doi:10.3390/hydrology8010021

Open AccessArticle

A One-Way Coupled Hydrodynamic Advection-Diffusion Model to Simulate Congested Large Wood Transport

by

Elisabetta Persi

^1,*

,

Gabriella Petaccia

¹

,

Stefano Sibilla

¹,

Roberto Bentivoglio

²

and

Aronne Armanini

³

¹

Department of Civil Engineering and Architecture, University of Pavia, via Ferrata, 3, 27100 Pavia, Italy

²

Department of Water Management, Delft University of Technology, Stevinweg, 1, 2628 CN Delft, The Netherlands

³

Department of Civil, Environmental and Mechanical Engineering, University of Trento, via Mesiano, 77, 38123 Trento, Italy

^*

Author to whom correspondence should be addressed.

Hydrology 2021, 8(1), 21; https://doi.org/10.3390/hydrology8010021

Submission received: 28 December 2020 / Revised: 21 January 2021 / Accepted: 24 January 2021 / Published: 27 January 2021

(This article belongs to the Special Issue Advances and Perspectives in Flood Risk Modeling, Assessment and Communication)

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Abstract

An advection-diffusion model is proposed to simulate large wood transport during high flows. The mathematical model is derived from the wood mass balance, taking into consideration both the wood mass concentration and the log orientation, which affects log transport and, most importantly, wood accumulation. Focusing on wood mass transport, the advection-diffusion equation is implemented in a hydrodynamic model to provide a one-way coupled solution of the flow and of the floating wood mass. The model is tested on a large series of flume experiments, involving at least 30 logs and different control parameters (flow Froude number, log length, diameter, release point). The validation through the experimental data shows that the proposed model can predict the correct displacement of the most probable position of the logs and to simulate with a sufficient accuracy the planar diffusion of the wooden mass. Transversal wood distribution is more accurate than the streamwise one, indicating that a higher control on the longitudinal diffusion needs to be implemented.

Keywords: large wood transport; advection-diffusion model; Shallow Water Equation; surface transport velocity

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MDPI and ACS Style

Persi, E.; Petaccia, G.; Sibilla, S.; Bentivoglio, R.; Armanini, A. A One-Way Coupled Hydrodynamic Advection-Diffusion Model to Simulate Congested Large Wood Transport. Hydrology 2021, 8, 21. https://doi.org/10.3390/hydrology8010021

AMA Style

Persi E, Petaccia G, Sibilla S, Bentivoglio R, Armanini A. A One-Way Coupled Hydrodynamic Advection-Diffusion Model to Simulate Congested Large Wood Transport. Hydrology. 2021; 8(1):21. https://doi.org/10.3390/hydrology8010021

Chicago/Turabian Style

Persi, Elisabetta, Gabriella Petaccia, Stefano Sibilla, Roberto Bentivoglio, and Aronne Armanini. 2021. "A One-Way Coupled Hydrodynamic Advection-Diffusion Model to Simulate Congested Large Wood Transport" Hydrology 8, no. 1: 21. https://doi.org/10.3390/hydrology8010021

APA Style

Persi, E., Petaccia, G., Sibilla, S., Bentivoglio, R., & Armanini, A. (2021). A One-Way Coupled Hydrodynamic Advection-Diffusion Model to Simulate Congested Large Wood Transport. Hydrology, 8(1), 21. https://doi.org/10.3390/hydrology8010021

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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A One-Way Coupled Hydrodynamic Advection-Diffusion Model to Simulate Congested Large Wood Transport

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