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Article

Three-Dimensional Hydrostatic Curved Channel Flow Simulations Using Non-Staggered Triangular Grids

1
Department of Civil Engineering, Xi’an Jiaotong-Liverpool University, Suzhou 215123, China
2
CONACYT—Centro de Investigación en Matemáticas A.C., Unidad Mérida, Yucatan 97302, Mexico
3
Laboratory for Hydraulics and Environment (LHE), Institut National de la Recherche Scientifique, Université du Québec, Quebec, QC G1K 9A9, Canada
4
Laboratory for Hydraulics Saint-Venant, Université Paris-Est, ENPC-EDF-CEREMA, 78400 Chatou, France
*
Author to whom correspondence should be addressed.
Academic Editors: Ahmad Shakibaeinia and Amir Reza Zarrati
Water 2022, 14(2), 174; https://doi.org/10.3390/w14020174
Received: 12 December 2021 / Revised: 31 December 2021 / Accepted: 5 January 2022 / Published: 9 January 2022
(This article belongs to the Special Issue Computational Fluid Mechanics and Hydraulics)
Non-staggered triangular grids have many advantages in performing river or ocean modeling with the finite-volume method. However, horizontal divergence errors may occur, especially in large-scale hydrostatic calculations with centrifugal acceleration. This paper proposes an unstructured finite-volume method with a filtered scheme to mitigate the divergence noise and avoid further influencing the velocities and water elevation. In hydrostatic pressure calculations, we apply the proposed method to three-dimensional curved channel flows. Approximations reduce the numerical errors after filtering the horizontal divergence operator, and the approximation is second-order accurate. Numerical results for the channel flow accurately calculate the velocity profile and surface elevation at different Froude numbers. Moreover, secondary flow features such as the vortex pattern and its movement along the channel sections are also well captured. View Full-Text
Keywords: non-staggered grids; horizontal divergence oscillations; curved channel flow; free surface; hydrostatic pressure non-staggered grids; horizontal divergence oscillations; curved channel flow; free surface; hydrostatic pressure
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MDPI and ACS Style

Zhang, W.; Uh Zapata, M.; Pham Van Bang, D.; Nguyen, K.D. Three-Dimensional Hydrostatic Curved Channel Flow Simulations Using Non-Staggered Triangular Grids. Water 2022, 14, 174. https://doi.org/10.3390/w14020174

AMA Style

Zhang W, Uh Zapata M, Pham Van Bang D, Nguyen KD. Three-Dimensional Hydrostatic Curved Channel Flow Simulations Using Non-Staggered Triangular Grids. Water. 2022; 14(2):174. https://doi.org/10.3390/w14020174

Chicago/Turabian Style

Zhang, Wei, Miguel Uh Zapata, Damien Pham Van Bang, and Kim D. Nguyen. 2022. "Three-Dimensional Hydrostatic Curved Channel Flow Simulations Using Non-Staggered Triangular Grids" Water 14, no. 2: 174. https://doi.org/10.3390/w14020174

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