Parameterization and results of SWE for gravity currents are sensitive to the definition of depth
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Author (Corporation)
Publication date
12.03.2021
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01A - Journal article
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Journal of Hydraulic Engineering
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Volume
147
Issue / Number
5
Pages / Duration
04021016
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Publisher / Publishing institution
American Society of Civil Engineers
Place of publication / Event location
Reston, Virginia
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Abstract
Rigorously derived shallow water equations (SWEs) are applied to results of large eddy simulation (LES) of a continuously fed gravity current in order to assess (1) sensitivity of current depth results to its definition; (2) coefficients in depth-averaged continuity and momentum equation due to the nonuniformity of density and velocity profiles; and (3) sensitivity of entrainment coefficient to definition of current depth. It is shown that using different definitions of the current depth may produce significantly different numerical results. The coefficients due to nonuniformity in the continuity equation are very close to unity, whereas the coefficients in the momentum flux and the pressure term in the momentum equation are different from unity by a margin that is very sensitive to the definition of current depth. The entrainment coefficient is more sensitive to the selected parameterization than to the definition of the current depth.
Keywords
Shallow water equations, Large eddy simulation
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ISBN
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1943-7900
0733-9429
0733-9429
Language
English
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No
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Published
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Peer review of the complete publication
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Citation
Venuleo, S., Pokrajac, D., Tokyay, T., Constantinescu, G., Schleiss, A. J., & Franca, M. J. (2021). Parameterization and results of SWE for gravity currents are sensitive to the definition of depth. Journal of Hydraulic Engineering, 147(5), 4021016. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001868