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Article

Proof-of-Concept of a Quasi-2D Water-Quality Modelling Approach to Simulate Transverse Mixing in Rivers

1
Global Institute for Water Security, School of Environment and Sustainability, University of Saskatchewan, 11 Innovation Boulevard, Saskatoon, SK S7N 3H5, Canada
2
Water Security Agency, 111 Fairford Street East, Moose Jaw, SK S6H 7X9, Canada
3
Four Elements Consulting Ltd., 1012 18th Ave. SE, Calgary, AB T2G 1L6, Canada
*
Author to whom correspondence should be addressed.
Academic Editors: Leon Boegman and Tammo Steenhuis
Water 2021, 13(21), 3071; https://doi.org/10.3390/w13213071
Received: 16 September 2021 / Revised: 29 October 2021 / Accepted: 30 October 2021 / Published: 2 November 2021
(This article belongs to the Special Issue Surface Water Quality Modelling)
A quasi-two-dimensional (quasi-2D) modelling approach is introduced to mimic transverse mixing of an inflow into a river from one of its banks, either an industrial outfall or a tributary. The concentrations of determinands in the inflow vary greatly from those in the river, leading to very long mixing lengths in the river downstream of the inflow location. Ideally, a two-dimensional (2D) model would be used on a small scale to capture the mixing of the two flow streams. However, for large-scale applications of several hundreds of kilometres of river length, such an approach demands too many computational resources and too much computational time, especially if the application will at some point require ensemble input from climate-change scenario data. However, a one-dimensional (1D) model with variables varying in the longitudinal flow direction but averaged across the cross-sections is too simple of an approach to capture the lateral mixing between different flow streams within the river. Hence, a quasi-2D method is proposed in which a simplified 1D solver is still applied but the discretisation of the model setup can be carried out in such a way as to enable a 2D representation of the model domain. The quasi-2D model setup also allows secondary channels and side lakes in floodplains to be incorporated into the discretisation. To show proof-of-concept, the approach has been tested on a stretch of the lower Athabasca River in Canada flowing through the oil sands region between Fort McMurray and Fort MacKay. A dye tracer and suspended sediments are the constituents modelled in this test case. View Full-Text
Keywords: lower Athabasca River; oil sands region; quasi-2D modelling; water-quality analysis simulation program (WASP); water-quality modelling lower Athabasca River; oil sands region; quasi-2D modelling; water-quality analysis simulation program (WASP); water-quality modelling
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MDPI and ACS Style

Sabokruhie, P.; Akomeah, E.; Rosner, T.; Lindenschmidt, K.-E. Proof-of-Concept of a Quasi-2D Water-Quality Modelling Approach to Simulate Transverse Mixing in Rivers. Water 2021, 13, 3071. https://doi.org/10.3390/w13213071

AMA Style

Sabokruhie P, Akomeah E, Rosner T, Lindenschmidt K-E. Proof-of-Concept of a Quasi-2D Water-Quality Modelling Approach to Simulate Transverse Mixing in Rivers. Water. 2021; 13(21):3071. https://doi.org/10.3390/w13213071

Chicago/Turabian Style

Sabokruhie, Pouya, Eric Akomeah, Tammy Rosner, and Karl-Erich Lindenschmidt. 2021. "Proof-of-Concept of a Quasi-2D Water-Quality Modelling Approach to Simulate Transverse Mixing in Rivers" Water 13, no. 21: 3071. https://doi.org/10.3390/w13213071

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