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1

Tsujimoto, Koichi, Toshihiko Shakouchi, Shuji Sasazaki, and Toshitake Ando. "Direct Numerical Simulation of Jet Mixing Control Using Combined Jets(Numerical Simulation)." Proceedings of the International Conference on Jets, Wakes and Separated Flows (ICJWSF) 2005 (2005): 725–30. http://dx.doi.org/10.1299/jsmeicjwsf.2005.725.

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2

Zhou, Yi, Nagata Kouji, Sakai Yasuhiko, Suzuki Hiroki, Ito Yasumasa, Terashima Osamu, and Hayase Toshiyuki. "1102 DIRECT NUMERICAL SIMULATION OF SINGLESQUARE GRID-GENERATED TURBULENCE." Proceedings of the International Conference on Jets, Wakes and Separated Flows (ICJWSF) 2013.4 (2013): _1102–1_—_1102–5_. http://dx.doi.org/10.1299/jsmeicjwsf.2013.4._1102-1_.

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3

Layton, William J., C. David Pruett, and Leo G. Rebholz. "Temporally regularized direct numerical simulation." Applied Mathematics and Computation 216, no. 12 (August 2010): 3728–38. http://dx.doi.org/10.1016/j.amc.2010.05.031.

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4

Khujadze, George, and Martin Oberlack. "Turbulent diffusion: Direct numerical simulation." PAMM 9, no. 1 (December 2009): 451–52. http://dx.doi.org/10.1002/pamm.200910198.

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5

DONG, S., and X. ZHENG. "Direct numerical simulation of spiral turbulence." Journal of Fluid Mechanics 668 (December 13, 2010): 150–73. http://dx.doi.org/10.1017/s002211201000460x.

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In this paper, we present results of three-dimensional direct numerical simulations of the spiral turbulence phenomenon in a range of moderate Reynolds numbers, in which alternating intertwined helical bands of turbulent and laminar fluids co-exist and propagate between two counter-rotating concentric cylinders. We show that the turbulent spiral is comprised of numerous small-scale azimuthally elongated vortices, which align into and collectively form the barber-pole-like pattern. The domain occupied by such vortices in a plane normal to the cylinder axis resembles a ‘crescent moon’, a shape made well known by Van Atta with his experiments in the 1960s. The time-averaged mean velocity of spiral turbulence is characterized in the radial–axial plane by two layers of axial flows of opposite directions. We also observe that, as the Reynolds number increases, the transition from spiral turbulence to featureless turbulence does not occur simultaneously in the whole domain, but progresses in succession from the inner cylinder towards the outer cylinder. Certain aspects pertaining to the dynamics and statistics of spiral turbulence and issues pertaining to the simulation are discussed.
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6

Lee, Jae-Ryong, S. Balachandar, and Man-Yeong Ha. "Direct Numerical Simulation of Gravity Currents." Transactions of the Korean Society of Mechanical Engineers B 30, no. 5 (May 1, 2006): 422–29. http://dx.doi.org/10.3795/ksme-b.2006.30.5.422.

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7

Grinstein, F. F., E. S. Oran, and J. P. Boris. "Direct numerical simulation of axisymmetric jets." AIAA Journal 25, no. 1 (January 1987): 92–98. http://dx.doi.org/10.2514/3.9586.

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8

Giordano, N. "Direct numerical simulation of a recorder." Journal of the Acoustical Society of America 133, no. 2 (February 2013): 1111–18. http://dx.doi.org/10.1121/1.4773268.

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9

Matheou, G., and D. Chung. "Direct numerical simulation of stratified turbulence." Physics of Fluids 24, no. 9 (September 2012): 091106. http://dx.doi.org/10.1063/1.4747156.

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10

Juric, D., and G. Tryggvason. "Direct Numerical Simulation of Film Boiling." Journal of Heat Transfer 120, no. 3 (August 1, 1998): 543. http://dx.doi.org/10.1115/1.2824306.

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11

Danaila, Ionut, and Bendiks Jan Boersma. "Direct numerical simulation of bifurcating jets." Physics of Fluids 12, no. 5 (May 2000): 1255–57. http://dx.doi.org/10.1063/1.870377.

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12

Statsenko, V. P., Yu V. Yanilkin, and V. A. Zhmaylo. "Direct numerical simulation of turbulent mixing." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 2003 (November 28, 2013): 20120216. http://dx.doi.org/10.1098/rsta.2012.0216.

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The results of three-dimensional numerical simulations of turbulent flows obtained by various authors are reviewed. The paper considers the turbulent mixing (TM) process caused by the development of the main types of instabilities: those due to gravitation (with either a fixed or an alternating-sign acceleration), shift and shock waves. The problem of a buoyant jet is described as an example of the mixed-type problem. Comparison is made with experimental data on the TM zone width, profiles of density, velocity and turbulent energy and degree of homogeneity.
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13

Delbende, Ivan, Maurice Rossi, and Benjamin Piton. "Direct numerical simulation of helical vortices." International Journal of Engineering Systems Modelling and Simulation 4, no. 1/2 (2012): 94. http://dx.doi.org/10.1504/ijesms.2012.044847.

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14

Das, Arup, and Joseph Mathew. "Direct numerical simulation of turbulent spots." Computers & Fluids 30, no. 5 (June 2001): 533–41. http://dx.doi.org/10.1016/s0045-7930(01)00004-4.

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15

Schlottke, Jan, and Bernhard Weigand. "Direct numerical simulation of evaporating droplets." Journal of Computational Physics 227, no. 10 (May 2008): 5215–37. http://dx.doi.org/10.1016/j.jcp.2008.01.042.

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16

Kim, Seung Jo, Chang Sung Lee, Hea Jin Yeo, Jeong Ho Kim, and Jin Yeon Cho. "Direct Numerical Simulation of Composite Structures." Journal of Composite Materials 36, no. 24 (December 2002): 2765–85. http://dx.doi.org/10.1177/002199802761675610.

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17

Yang, Xiao-long, and Song Fu. "Study of numerical errors in direct numerical simulation and large eddy simulation." Applied Mathematics and Mechanics 29, no. 7 (July 2008): 871–80. http://dx.doi.org/10.1007/s10483-008-0705-x.

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18

Chung, D., L. Chan, M. MacDonald, N. Hutchins, and A. Ooi. "A fast direct numerical simulation method for characterising hydraulic roughness." Journal of Fluid Mechanics 773 (May 26, 2015): 418–31. http://dx.doi.org/10.1017/jfm.2015.230.

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We describe a fast direct numerical simulation (DNS) method that promises to directly characterise the hydraulic roughness of any given rough surface, from the hydraulically smooth to the fully rough regime. The method circumvents the unfavourable computational cost associated with simulating high-Reynolds-number flows by employing minimal-span channels (Jiménez & Moin, J. Fluid Mech., vol. 225, 1991, pp. 213–240). Proof-of-concept simulations demonstrate that flows in minimal-span channels are sufficient for capturing the downward velocity shift, that is, the Hama roughness function, predicted by flows in full-span channels. We consider two sets of simulations, first with modelled roughness imposed by body forces, and second with explicit roughness described by roughness-conforming grids. Owing to the minimal cost, we are able to conduct direct numerical simulations with increasing roughness Reynolds numbers while maintaining a fixed blockage ratio, as is typical in full-scale applications. The present method promises a practical, fast and accurate tool for characterising hydraulic resistance directly from profilometry data of rough surfaces.
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19

Dommermuth, Douglas G., and Rebecca C. Y. Mui. "Numerical Simulation of Free-Surface Turbulence." Applied Mechanics Reviews 47, no. 6S (June 1, 1994): S163—S165. http://dx.doi.org/10.1115/1.3124397.

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Direct numerical simulations and large-eddy simulations of turbulent free-surface flows are currently being performed to investigate the roughening of the surface, and the scattering, radiation, and dissipation of waves by turbulence. The numerical simulation of turbulent free-surface flows is briefly reviewed. The numerical, modeling, and hardware issues are discussed.
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20

NEUVAZHAYEV, D. V., N. S. ESKOV, and A. S. KOZLOVSKIKH. "Direct numerical simulation of developed shear driven turbulence." Laser and Particle Beams 18, no. 2 (April 2000): 189–95. http://dx.doi.org/10.1017/s0263034600182060.

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The work is devoted to direct numerical simulation of turbulent mixing by shear driven instability at an interface of two plane-parallel gas flows. The work presents the results obtained in 2D simulations of turbulence being developed at the interface of two almost incompressible gases using the MAX program package. Spatial and temporal evolution of the turbulence zone resulted from shear driven instability is studied. We calculated the constant of shear driven turbulence mixing and investigated how the rate of turbulence zone growth depended on density difference of mixed fluids. Heterogeneity coefficient of the mixture was calculated for all considered density differences.
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21

Emelyanov, V. N., and K. N. Volkov. "Direct Numerical Simulation of Fully Developed Turbulent Gas–Particle Flow in a Duct." Nelineinaya Dinamika 18, no. 3 (2022): 379–95. http://dx.doi.org/10.20537/nd220304.

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Direct numerical simulation of a fully developed turbulent flow of a viscous compressible fluid containing spherical solid particles in a channel is carried out. The formation of regions with an increased concentration of solid particles in a fully developed turbulent flow in a channel with solid walls is considered. The fluid flow is simulated with unsteady three-dimensional Navier – Stokes equations. The discrete trajectory approach is applied to simulate the motion of particles. The distributions of the mean and fluctuating characteristics of the fluid flow and distribution of the concentration of the dispersed phase in the channel are discussed. The formation of regions with an increased concentration of particles is associated with the instantaneous distribution of vorticity in the near-wall region of the channel. The results of numerical simulation are in qualitative and quantitative agreement with the available data of physical and computational experiments.
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22

SKOTE, MARTIN, and DAN S. HENNINGSON. "Direct numerical simulation of a separated turbulent boundary layer." Journal of Fluid Mechanics 471 (November 5, 2002): 107–36. http://dx.doi.org/10.1017/s0022112002002173.

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Direct numerical simulation of two turbulent boundary layer flows has been performed. The boundary layers are both subject to a strong adverse pressure gradient. In one case a separation bubble is created while in the other the boundary layer is everywhere attached. The data from the simulations are used to investigate scaling laws near the wall, a crucial concept in turbulence models. Theoretical work concerning the inner region in a boundary layer under an adverse pressure gradient is reviewed and extended to the case of separation. Excellent agreement between theory and data from the direct numerical simulation is found in the viscous sub-layer, while a qualitative agreement is obtained for the overlap region.
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23

TSUJIMOTO, Koichi, Toshihikko SHAKOUCHI, Akiyoshi NAKAMURA, and Shuji SASAZAKI. "Direct Numerical Simulation of a Noncircular Jet." Proceedings of the Fluids engineering conference 2004 (2004): 207. http://dx.doi.org/10.1299/jsmefed.2004.207.

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24

Kaneda, Y., and T. Ishihara. "High-resolution direct numerical simulation of turbulence." Journal of Turbulence 7 (January 2006): N20. http://dx.doi.org/10.1080/14685240500256099.

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25

SATAKE, Shin-ichi, and Tomoaki KUNUGI. "Direct Numerical Simulation of Turbulent Pipe Flow." Transactions of the Japan Society of Mechanical Engineers Series B 64, no. 617 (1998): 65–70. http://dx.doi.org/10.1299/kikaib.64.65.

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26

TAKEUCHI, Shintaro, Yutaka MIYAKE, Takeo KAJISHIMA, and Seiji AOKI. "Direct Numerical Simulation of Turbulent Round Jet." Transactions of the Japan Society of Mechanical Engineers Series B 65, no. 640 (1999): 3918–25. http://dx.doi.org/10.1299/kikaib.65.3918.

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27

TAKAHASHI, Naoya, and Kiyoshi YAMAMOTO. "Direct Numerical Simulation of Blasius Flow Transition." Transactions of the Japan Society of Mechanical Engineers Series B 67, no. 664 (2001): 3062–67. http://dx.doi.org/10.1299/kikaib.67.3062.

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28

Friedrich, R., T. J. Hüttl, M. Manhart, and C. Wagner. "Direct numerical simulation of incompressible turbulent flows." Computers & Fluids 30, no. 5 (June 2001): 555–79. http://dx.doi.org/10.1016/s0045-7930(01)00006-8.

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29

Gui, Nan, Jie Yan, Zhenlin Li, and Jianren Fan. "Direct numerical simulation of confined swirling jets." International Journal of Computational Fluid Dynamics 28, no. 1-2 (January 2, 2014): 76–88. http://dx.doi.org/10.1080/10618562.2014.898754.

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30

Zhang, Yu-ning, and Sheng-cai Li. "Direct numerical simulation of collective bubble behavior." Journal of Hydrodynamics 22, S1 (October 2010): 785–89. http://dx.doi.org/10.1016/s1001-6058(10)60037-6.

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31

Liu, Zheng-gang, Guang-sheng Du, and Zhu-feng Shao. "The direct numerical simulation of pipe flow." Journal of Hydrodynamics 25, no. 1 (February 2013): 125–30. http://dx.doi.org/10.1016/s1001-6058(13)60346-7.

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32

Sandham, N. D., M. Alam, and S. Morin. "Embedded direct numerical simulation for aeronautical CFD." Aeronautical Journal 105, no. 1046 (April 2001): 193–98. http://dx.doi.org/10.1017/s0001924000025434.

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Abstract A method is proposed by which a direct numerical simulation of the compressible Navier-Stokes equations may be embedded within a more general aeronautical CFD code. The method may be applied to any code which solves the Euler equations or the Favre-averaged Navier-Stokes equations. A formal decomposition of the flowfield is used to derive modified equations for use with direct numerical simulation solvers. Some preliminary applications for model flows with transitional separation bubbles are given.
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33

Eggels, J. G. M., J. Westerweel, F. T. M. Nieuwstadt, and R. J. Adrian. "Direct numerical simulation of turbulent pipe flow." Applied Scientific Research 51, no. 1-2 (June 1993): 319–24. http://dx.doi.org/10.1007/bf01082555.

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34

Verstappen, R., J. G. Wissink, and A. E. P. Veldman. "Direct numerical simulation of driven cavity flows." Applied Scientific Research 51, no. 1-2 (June 1993): 377–81. http://dx.doi.org/10.1007/bf01082564.

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35

Solbakken, Stian, and Helge I. Andersson. "Direct numerical simulation of lubricated channel flow." Fluid Dynamics Research 37, no. 3 (September 2005): 203–30. http://dx.doi.org/10.1016/j.fluiddyn.2005.04.003.

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36

Shalaby, H., G. Janiga, A. Laverdant, and D. Thévenin. "Turbulent flame visualization using direct numerical simulation." Journal of Visualization 10, no. 2 (June 2007): 187–95. http://dx.doi.org/10.1007/bf03181830.

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37

Xinliang, Li, Fu Dexun, and Ma Yanwen. "Direct numerical simulation of compressible isotropic turbulence." Science in China Series A: Mathematics 45, no. 11 (November 2002): 1452–60. http://dx.doi.org/10.1007/bf02880040.

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38

Li, C., A. Mosyak, and G. Hetsroni. "Direct numerical simulation of particle-turbulence interaction." International Journal of Multiphase Flow 25, no. 2 (March 1999): 187–200. http://dx.doi.org/10.1016/s0301-9322(98)00044-5.

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39

Skartlien, Roar, Espen Sollum, Andreas Akselsen, and Paul Meakin. "Direct numerical simulation of surfactant-stabilized emulsions." Rheologica Acta 51, no. 7 (April 24, 2012): 649–73. http://dx.doi.org/10.1007/s00397-012-0628-8.

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40

Cant, Stewart. "Direct numerical simulation of premixed turbulent flames." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 357, no. 1764 (December 1999): 3583–604. http://dx.doi.org/10.1098/rsta.1999.0511.

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41

TSUJIMOT, Koichi, Toshihiko SHAKOUCHI, Akiyoshi NAKAMURA, and Shuji SASAZAKI. "Direct Numerical Simulation of an Elliptic Jet." Proceedings of Conference of Tokai Branch 2004.53 (2004): 321–22. http://dx.doi.org/10.1299/jsmetokai.2004.53.321.

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42

Suzuki, H., K. Nagata, Y. Sakai, T. Hayase, Y. Hasegawa, and T. Ushijima. "Direct numerical simulation of fractal-generated turbulence." Fluid Dynamics Research 45, no. 6 (November 7, 2013): 061409. http://dx.doi.org/10.1088/0169-5983/45/6/061409.

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43

Li, Xin-Liang, De-Xun Fu, Yan-Wen Ma, and Xian Liang. "Direct numerical simulation of compressible turbulent flows." Acta Mechanica Sinica 26, no. 6 (December 2010): 795–806. http://dx.doi.org/10.1007/s10409-010-0394-8.

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44

Becker, Richard. "Direct numerical simulation of ductile spall failure." International Journal of Fracture 208, no. 1-2 (March 1, 2017): 5–26. http://dx.doi.org/10.1007/s10704-017-0198-y.

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45

Reitzle, M., S. Ruberto, R. Stierle, J. Gross, T. Janzen, and B. Weigand. "Direct numerical simulation of sublimating ice particles." International Journal of Thermal Sciences 145 (November 2019): 105953. http://dx.doi.org/10.1016/j.ijthermalsci.2019.05.009.

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46

Niemann, J., and E. Laurien. "Computing Virtual Mass by Direct Numerical Simulation." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 81, S3 (2001): 555–56. http://dx.doi.org/10.1002/zamm.20010811556.

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47

Niethammer, Matthias, Holger Marschall, and Dieter Bothe. "Robust Direct Numerical Simulation of Viscoelastic Flows." Chemie Ingenieur Technik 91, no. 4 (February 8, 2019): 522–28. http://dx.doi.org/10.1002/cite.201800108.

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48

Lee, Jon. "Chaos and direct numerical simulation in turbulence." Theoretical and Computational Fluid Dynamics 7, no. 5 (September 1995): 363–95. http://dx.doi.org/10.1007/bf00312415.

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49

Chesnokov, Yu G. "Direct Numerical Simulation of Turbulent Thermal Diffusivity." Theoretical Foundations of Chemical Engineering 58, no. 4 (August 2024): 1105–11. https://doi.org/10.1134/s0040579525600226.

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50

LIN, MEI-YING, CHIN-HOH MOENG, WU-TING TSAI, PETER P. SULLIVAN, and STEPHEN E. BELCHER. "Direct numerical simulation of wind-wave generation processes." Journal of Fluid Mechanics 616 (December 10, 2008): 1–30. http://dx.doi.org/10.1017/s0022112008004060.

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An air–water coupled model is developed to investigate wind-wave generation processes at low wind speed where the surface wind stress is about 0.089 dyn cm−2and the associated surface friction velocities of the air and the water areu*a~8.6 cms−1andu*w~0.3 cms−1, respectively. The air–water coupled model satisfies continuity of velocity and stress at the interface simultaneously, and hence can capture the interaction between air and water motions. Our simulations show that the wavelength of the fastest growing waves agrees with laboratory measurements (λ~8–12 cm) and the wave growth consists of linear and exponential growth stages as suggested by theoretical and experimental studies. Constrained by the linearization of the interfacial boundary conditions, we perform simulations only for a short time period, about 70s; the maximum wave slope of our simulated waves isak~0.01 and the associated wave age isc/u*a~5, which is a slow-moving wave. The effects of waves on turbulence statistics above and below the interface are examined. Sensitivity tests are carried out to investigate the effects of turbulence in the water, surface tension, and the numerical depth of the air domain. The growth rates of the simulated waves are compared to a previous theory for linear growth and to experimental data and previous simulations that used a prescribed wavy surface for exponential growth. In the exponential growth stage, some of the simulated wave growth rates are comparable to previous studies, but some are about 2–3 times larger than previous studies. In the linear growth stage, the simulated wave growth rates for these four simulation runs are about 1–2 times larger than previously predicted. In qualitative agreement with previous theories for slow-moving waves, the mechanisms for the energy transfer from wind to waves in our simulations are mainly from turbulence-induced pressure fluctuations in the linear growth stage and due to the in-phase relationship between wave slope and wave-induced pressure fluctuations in the exponential growth stage.
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