The improvement of the one-dimensional Mellor-Yamada and K-profile parameterization turbulence schemes with the non-breaking surface wave-induced vertical mixing

2013 ◽  
Vol 32 (9) ◽  
pp. 62-73 ◽  
Author(s):  
Yan Li ◽  
Fangli Qiao ◽  
Xunqiang Yin ◽  
Qi Shu ◽  
Hongyu Ma
Author(s):  
Bingchen Liang ◽  
Ying Liu ◽  
Lili Yang

A hydrodynamic sediment coupled model COHERENS-SED, which has been developed by the present authors through introducing wave-enhanced bottom stress, wave dependent surface drag coefficient, wave-induced surface mixing, SWAN, damping function of sediment on turbulence and sediment model to COHERENS, is modified to account for wave-induced vertical mixing. One equation k–ε turbulence model is taken into account in calculating vertical viscosity coefficient. COHERENS-SED consists of sediment model SED, current model COHERENS and wave generation model SWAN. The model can also calculate one-dimensional, two-dimensional and three-dimensional current separately. One-dimensional model and three-dimensional model are adoptted to study the wave-induced vertical mixing’s effects. The horizontal current velocity profiles given by the model, with same input conditions as what to get analytical results, are in nice agreement with analytical velocity profiles. Therefore the model can be reliable to identify wave-induced vertical mixing’s effects on horizontal velocity profiles and momentum transferring. Two group numerical experiments are built based on 130m water depth and 20m water depth for the one-dimensional model. Results show that higher wave height can generate larger vertical eddy viscosity and lower horizontal velocity generally. In order to find out such effects on fresh water flume momentum transfer towards down in vertical section of estuary, Yellow River delta is chosen to study the effects of wave-induced vertical diffusion on sediment vertical mixing and the Yellow River estuary vertical cross-section is chosen to study fresh water disperse range in vertical section. The results of fresh water shows that wave-induced vertical mixing increases the momentum of fresh water transferring ability towards down to seabed. So fresh water flume length is compressed obviously.


JETP Letters ◽  
2010 ◽  
Vol 91 (8) ◽  
pp. 382-386 ◽  
Author(s):  
V. V. Moskalenko ◽  
I. V. Soboleva ◽  
A. A. Fedyanin

2018 ◽  
Vol 123 (4) ◽  
pp. 2934-2944 ◽  
Author(s):  
Siyu Chen ◽  
Fangli Qiao ◽  
Chuanjiang Huang ◽  
Zhenya Song

2012 ◽  
Vol 31 (4) ◽  
pp. 1-10
Author(s):  
Chang Zhao ◽  
Fangli Qiao ◽  
Changshui Xia ◽  
Guansuo Wang

2011 ◽  
Vol 40 (1) ◽  
pp. 42-51 ◽  
Author(s):  
Qi Shu ◽  
Fangli Qiao ◽  
Zhenya Song ◽  
Changshui Xia ◽  
Yongzeng Yang

2010 ◽  
Vol 40 (9) ◽  
pp. 2180-2188 ◽  
Author(s):  
Dejun Dai ◽  
Fangli Qiao ◽  
Wojciech Sulisz ◽  
Lei Han ◽  
Alexander Babanin

Abstract Mixing induced by nonbreaking surface waves was investigated in a wave tank by measuring the thermal destratification rate of the water column. One experiment without waves and four experiments with waves of amplitudes ranging from 1.0 to 1.5 cm and wavelength from 30 to 75 cm were conducted. Water temperature variations at depths from 4 to 12 cm below the surface were measured. In the layer from 4 to 7 cm, the originally dense isothermal lines disperse soon after the waves are generated, whereas the vertical gradient from 9 to 12 cm is maintained for a relatively long time. The time span, during which the water temperature becomes well mixed, changes from about 20 h for the case with no waves to tens of minutes for the case with waves, and it decreases with increasing wave amplitude and wavelength. A one-dimensional diffusion numerical model with wave-induced mixing parameterization shows consistent results with the measurement. The study demonstrates that the mixing induced by nonbreaking waves may add an important contribution to the vertical mixing process in the upper ocean and suggests a way to parameterize wave-induced mixing in numerical ocean models.


1974 ◽  
Vol 63 (4) ◽  
pp. 773-800 ◽  
Author(s):  
John E. Lewis ◽  
Bruce M. Lake ◽  
Denny R. S. Ko

The perturbation of pre-existing surface gravity waves caused by the presence of an internal wave was studied both experimentally and analytically. An extensive series of experiments was performed, and quantitative results were obtained for the one-dimensional monochromatic interaction of internal waves and surface gravity waves. Internal wave-induced surface slope, amplitude and wavenumber modulations were measured for a wide range of interaction conditions. A complementary theoretical analysis, based on the conservation approach of Whitham (1962) and Longuet-Higgins & Stewart (1960,1961), was performed and a closed form solution obtained for the one-dimensional wave interaction. Both the theory and the experiment demonstrate that the effect increases with interaction distance. The maximum interaction effect is found to occur when the phase speed of the internal wave and the group velocity of the surface wave are matched. The phase of the internal wave at which maximum surface-wave modulation occurs is found to be a sensitive and continuous function of the relative wave speeds. The experimental data are in good agreement with the present theoretical analysis.


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