Hybrid Artificial Viscosity–Central-Upwind Scheme for Recirculating Turbulent Shallow Water Flows
Publication: Journal of Hydraulic Engineering
Volume 145, Issue 12
Abstract
In this paper, a hybrid artificial viscosity–central-upwind (AV-CU) scheme is proposed for simulating recirculating turbulent shallow water flows by combining the artificial viscosity (AV) technique with the central-upwind (CU) scheme. Two-dimensional (2D) depth-averaged Reynolds-averaged Navier–Stokes (DA-RANS) equations are solved using the AV technique, whereas the CU scheme is employed to compute the model. The model is spatially and temporally second-order accurate. Scalable wall functions (ScWFs) are employed, thus becoming flexible in generating meshes without having to estimate the wall friction velocity at the initial time step as if the standard wall functions (StWFs) were used. The results benefit strongly from this hybrid approach being more accurate than the CU and Harten-Lax-van Leer-contact (HLLC) schemes—and cheaper than the HLLC scheme for modeling recirculating turbulent flows. As such, the proposed approach could become a promising method for practical engineering purposes to simulate turbulent shallow water flows more efficiently and accurately.
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Acknowledgments
The first author gratefully acknowledges the German Academic Exchange Service for the Research Grant Doctoral Programs in Germany 2015/16 (57129429) and appreciates the computer and data resources provided by the Leibniz Supercomputing Centre. Fruitful discussions with Prof. Michael Manhart, Prof. Ernst Rank, and Dr. rer. nat. habil. Ralf-Peter Mundani (Technical University of Munich) are appreciated. Constructive comments from all the anonymous reviewers are acknowledged.
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Journal of Hydraulic Engineering
Volume 145 • Issue 12 • December 2019
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©2019 American Society of Civil Engineers.
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Received: May 24, 2018
Accepted: Mar 25, 2019
Published online: Sep 27, 2019
Published in print: Dec 1, 2019
Discussion open until: Feb 27, 2020
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