Effect of the Froude number on a stratified turbulence under two shear orientations using coupled SSG and SL models

References

• Holt S, Koseff JR, Ferziger J. A numerical study of the evolution and structure of homogeneous stably stratified sheared turbulence. J Fluid Mech. 1992;237:499–539.
   Web of Science ®Google Scholar
• Jacobitz F, Sarkar S, Van Atta C. Direct numerical simulations of the turbulence evolution in a uniformly sheared and stably stratified flow. J Fluid Mech. 1997;342:231–261.
   Web of Science ®Google Scholar
• Bouzaiane M, Ben Abdallah H, Lili T. A study of a stably stratified turbulence submitted to a non-vertical shear. Mechanics and materials conference arizona state university; 2003.
   Google Scholar
• Bouzaiane M, Ben Abdallah H, Lili T. A second order modeling of a stably stratified sheared turbulence submitted to a non vertical shear. J Turbul. 2004;5:1–18.
   Web of Science ®Google Scholar
• Komori S, Ueda H, Mizushina T, et al., Turbulence structure in stably stratified open-channel flow. J Fluid Mech. 1983;130:13–26.
   Web of Science ®Google Scholar
• Gerz T, Shumann U, Elghobachi S. Direct numerical simulation of stratified homogeneous turbulent shear flow. J Fluid Mech. 1989;200:563–594.
   Web of Science ®Google Scholar
• Rohr JJ, Itsweire EC, Helland KN, et al. Growth and decay of turbulence in a stably stratified shear flow. J Fluid Mech. 1988;195:65–77.
   Web of Science ®Google Scholar
• Bouzaiane M, Ben Abdallah H, Lili T. On the asymptotic behavior of dimensionless parameters in a stably stratified sheared turbulence. USNCAM (United States national congress of theoretical and applied mechanics); June; Virginia, Blacksburg; 2002.
   Google Scholar
• Bouzaiane M, Ben Abdallah H, Lili T. A study of the asymptotic behavior in stably stratified sheared turbulence. J Turbul. 2003;4:642–652.
   Web of Science ®Google Scholar
• Ben Abdallah H, Bouzaiane M, Lili T. A study of equilibrium states of homogeneous turbulence with a stable stratification and a non vertical shear. Physi Chem News. 2005;23:34–46.
   Google Scholar
• Blumen W. Stability of non-planar shear flow of a stratified fluid. J Fluid Mech. 1975;68:177–189.
   Web of Science ®Google Scholar
• Piccirillo PS, Van Atta CW. The evolution of a uniformly sheared thermally stratified turbulent flow. J Fluid Mech. 1997;334:61–86.
   Web of Science ®Google Scholar
• Voropayev SI, Zhang X, Boyer DL, et al., Horizontal jets in a rotating stratified fluid. Phys Fluids. 1997;9:115–126.
   Web of Science ®Google Scholar
• Chomaz JM, Bonneton P, Hopfinger EJ. The structure of the near wake of a sphere moving horizontally in a stratified fluid. J Fluid Mech. 1993;254:1–21.
   Web of Science ®Google Scholar
• Spedding GR, Browand FK, Fincham AM. Turbulence, similarity scaling and vortex geometry in the wake of a towed sphere in a stably stratified fluid. J Fluid Mech. 1996;314:53–103.
   Web of Science ®Google Scholar
• Chebbi B, Bouzaiane M. On the effects of rotation on the passive scalar and kinematic fields of homogeneous sheared turbulence. J Appl Fluid Mech. 2012;5(2):55–65.
   Web of Science ®Google Scholar
• Thamri Naffouti L, Lili T, Bouzaiane M. Etude de l’apport du modèle SSG sur la prédiction d'une turbulence stratifiée soumise à un cisaillement non vertical. 20ème congrès français de mécanique; 2011.
   Google Scholar
• Thamri Naffouti L, Bouzaiane M, Lili T. A study of equilibrium states of homogeneous turbulence submitted to an inclined shear. Int J Comput Sci Eng (IJCSE). 2012;1(02):126–139.
   Google Scholar
• Thamri Naffouti L, Lili T, Bouzaiane M. A study of the asymptotic equilibrium behavior in stratified turbulence submitted to horizontal shear. J Appl Fluid Mech. 2014;7:401–413.
   Web of Science ®Google Scholar
• Thamri L, Naffouti T, Bouzaiane M. Numerical analysis of homogeneous and stratified turbulence under horizontal shear via Lagrangian Stochastic model. J Appl Fluid Mech Richardson Number Effect. 2019;12(1):95–102.
   Web of Science ®Google Scholar
• Thamri L, Naffouti T, Bouzaiane M. The effect of non-vertical shear on stratified turbulence using the coupling between second-order models. J Turbul. 2019;20(7):439–455.
   Web of Science ®Google Scholar
• Speziale CG, Sarkar S, Gatski TB. Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach. J Fluid Mech. 1991;227:245–272.
   Web of Science ®Google Scholar
• Shih T, Lumley L, Chen J. Second order modeling of a passive scalar in a turbulent shear flow. 27th Aerospace sciences meeting; center of turbulent research; Reno, Nevada; 1989.
   Google Scholar
• Jacobitz F, Sarkar S. A direct numerical study of transport and anisotropy in a stably stratified turbulent flow with uniform horizontal shear. Flow Turbul Combust. 2000;63:343–360.
   Web of Science ®Google Scholar
• Jacobitz F. A comparison of the turbulence evolution in a stratified fluid with vertical or horizontal shear. J Turbul. 2002;3:1–18.
   Web of Science ®Google Scholar
• Cadiou A. A contribution to the study of second order turbulence closure models Ph. D. thesis, Central school of Nantes France; 1996.
   Google Scholar
• Cadiou A. Contribution à l’étude de modèle de turbulence au second ordre, thèse de doctorat, école centrale de Nantes; 1996.
   Google Scholar
• Zeman O, Lumley JL. Modeling buoyancy-driven mixed layers. J Atmos Sci. 1976;33:1974–1988.
   Web of Science ®Google Scholar
• Tavoularis S, Corrsin S. Experiments in nearly homogeneous turbulent shear flows with a uniform mean temperature gradient, part 1. J Fluid Mech. 1981;104:311–347.
   Web of Science ®Google Scholar
• Bertoglio JP. Homogeneous turbulent field within a rotating frame. ATAA, J. 1982;20:1175–1186.
   Google Scholar
• Schumann U. Realisability of Reynolds stress turbulence models. Phys Fluids. 1977;20:721–725.
   Web of Science ®Google Scholar
• Shih TH, John JZ, Lumley L. A new Reynolds stress algebraic equation model, NASA Technical Memorandum 106644 ICOMP-94-15; CMOTF-94-8; 1994.
   Google Scholar
• Shih TH, Lumley JL. Modelling of pressure correlation terms in Reynolds stress and scalar flux equation, Report F. D. A., 85-3 Sibley School of Mechanics and Aerospace Engineering, Cornell University; 1985.
   Google Scholar
• Shih TH. Constitutive relations and realizability of single point turbulence closures turbulence transition and modeling. In: HDS Hennigson, AV Johansson, PH Alfredsson, editor. Dordrecht: Kluwer; 1996.
   Google Scholar
• Hanazaki H, Hunt JCR. Structure of unsteady stably stratified turbulence with mean shear. J Fluid Mech. 1999;507:1–42.
   Google Scholar