TY - GEN
T1 - Eddy viscosity profiles for wave boundary layers
T2 - 33rd International Conference on Coastal Engineering 2012, ICCE 2012
AU - Absi, Rafik
AU - Tanaka, Hitoshi
AU - Kerlidou, Loreline
AU - André, Alicia
PY - 2012
Y1 - 2012
N2 - Eddy viscosity in wave boundary layers is a key parameter in coastal engineering. Two analytical eddy viscosity profiles present a particular interest for practical applications: the parabolic-uniform profile (Myrhaug 1982, van Rijn 1993, Liu and Sato 2006) and the exponential-linear profile (Gelfenbaum and Smith 1986, Beach and Sternberg 1988, Hsu and Jan 1998, Absi 2010). The aim of our study is to assess and validate these two profiles by: (1) investigation of eddy viscosity in steady fully developed plane channel flow; (2) comparisons with numerical results of the two equation baseline (BSL) k-ω model (Menter 1994, Suntoyo and Tanaka 2009). Our study shows that these two profiles are able to describe the eddy viscosity distribution in the wave bottom boundary layer but for different wave conditions given by the parameter am/ks, where am is the wave orbital amplitude and ks the equivalent roughness. The exponential-linear profile is adequate for am/ks <500, while the parabolic-uniform profile is more appropriate for am/ks ≥500. We suggest empirical formulations for the different coefficients which appear in these two profiles based on numerical results of the BSL k-ω model.
AB - Eddy viscosity in wave boundary layers is a key parameter in coastal engineering. Two analytical eddy viscosity profiles present a particular interest for practical applications: the parabolic-uniform profile (Myrhaug 1982, van Rijn 1993, Liu and Sato 2006) and the exponential-linear profile (Gelfenbaum and Smith 1986, Beach and Sternberg 1988, Hsu and Jan 1998, Absi 2010). The aim of our study is to assess and validate these two profiles by: (1) investigation of eddy viscosity in steady fully developed plane channel flow; (2) comparisons with numerical results of the two equation baseline (BSL) k-ω model (Menter 1994, Suntoyo and Tanaka 2009). Our study shows that these two profiles are able to describe the eddy viscosity distribution in the wave bottom boundary layer but for different wave conditions given by the parameter am/ks, where am is the wave orbital amplitude and ks the equivalent roughness. The exponential-linear profile is adequate for am/ks <500, while the parabolic-uniform profile is more appropriate for am/ks ≥500. We suggest empirical formulations for the different coefficients which appear in these two profiles based on numerical results of the BSL k-ω model.
KW - Calibration
KW - Eddy viscosity profiles
KW - Two-equation k-ω model
KW - Validation
KW - Wave boundary layers
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U2 - 10.9753/icce.v33.waves.63
DO - 10.9753/icce.v33.waves.63
M3 - Conference contribution
AN - SCOPUS:85087189972
SN - 9780989661119
T3 - Proceedings of the Coastal Engineering Conference
BT - Proceedings of the 33rd International Conference on Coastal Engineering 2012, ICCE 2012
PB - American Society of Civil Engineers (ASCE)
Y2 - 1 July 2012 through 6 July 2012
ER -