Direct numerical simulation of a fully developed compressible wall turbulence over a wavy wall

References

• Hudson JD, Dykhno L, Hanratty TJ. Turbulence production in flow over a wavy wall. Exp Fluids. 1996;20:257–265.
   Web of Science ®Google Scholar
• Zilker DP, Cook GW, Hanratty TS. Influence of the amplitude of a solid wavy wall on a turbulent flow. Part 1. Non-separated flows. J Fluid Mech. 1977;82:29–51.
   Web of Science ®Google Scholar
• Buckles J, Hanratty TJ, Adrian RJ. Turbulent flow over large-amplitude wavy surfaces. J Fluid Mech. 1984;140:27–44.
   Web of Science ®Google Scholar
• Frederick KA, Hanratty TJ. Velocity measurements for a turbulent nonseparated flow over solid waves. Exp Fluids. 1988;6:477–486.
   Web of Science ®Google Scholar
• Kuzan JD, Hanratty TJ, Adrian RJ. Turbulent flows with incipient separation over solid waves. Exp Fluids. 1989;7:88–98.
   Web of Science ®Google Scholar
• Bordner GL. Nonlinear analysis of laminar boundary layer flow over a periodic wavy surface. Phys Fluids. 1978;21:858–863.
   Web of Science ®Google Scholar
• Caponi EA, Fornberg B, Knight DD, et al. Calculations of laminar viscous flow over a moving wavy surface. J Fluid Mech. 1982;124:347–362.
   Web of Science ®Google Scholar
• Mclean JW. Computation of turbulent flow over a moving wavy boundary. Phys Fluids. 1983;26:2065–2073.
   Web of Science ®Google Scholar
• Cherukat P, Na Y, Hanratty TJ, et al. Direct numerical simulation of a fully developed turbulent flow over a wavy wall. Theor Comput Fluid Dyn. 1998;11:109–134.
   Web of Science ®Google Scholar
• Henn DS, Sykes RI. Large-eddy simulation of flow over wavy surfaces. J Fluid Mech. 1999;383:75–112.
   Web of Science ®Google Scholar
• S.R.L. Calhoun RJ. Turbulent flow over a wavy surface. J Geophys Res Oceans. 2001;106:9277–9293.
   Web of Science ®Google Scholar
• Ferziger JH, Tseng YH. Large-eddy simulation of turbulent wavy boundary flow-illustration of vortex dynamics. J Turbul. 2004;5:24–27.
   Web of Science ®Google Scholar
• Ghorbaniasl G. Study of the sediment transport over flat and wavy bottom using large-eddy simulation. J Turbul. 2009;10:1–20.
   Web of Science ®Google Scholar
• Yoon HS, El-Samni OA, Huynh AT, et al. Effect of wave amplitude on turbulent flow in a wavy channel by direct numerical simulation. Ocean Eng. 2009;36:697–707.
   Web of Science ®Google Scholar
• Yang D, Shen L. Direct-simulation-based study of turbulent flow over various waving boundaries. J Fluid Mech. 2010;650:131–180.
   Web of Science ®Google Scholar
• Angelis VD, Lombardi P, Banerjee S. Direct numerical simulation of turbulent flow over a wavy wall. Phys Fluids. 1997;9:2429–2442.
   Web of Science ®Google Scholar
• Wagner C, Kenjereš S, von Rohr PR. Dynamic large eddy simulations of momentum and wall heat transfer in forced convection over wavy surfaces. J Turbul. 2011;12:1–27.
   Web of Science ®Google Scholar
• Kuhn S, Kenjereš S, Rohr PRV. Large eddy simulations of wall heat transfer and coherent structures in mixed convection over a wavy wall. Int J Ther Sci. 2010;49:1209–1226.
   Web of Science ®Google Scholar
• Coleman GN, Kim J, Moser RD. A numerical study of turbulent supersonic isothermal-wall channel flow. J Fluid Mech. 1995;305:159–183.
   Web of Science ®Google Scholar
• Huang PG, Coleman GN, Bradshaw P. Compressible turbulent channel flows: DNS results and modelling. J Fluid Mech. 1995;305:185–218.
   Web of Science ®Google Scholar
• Morinishi Y. Direct numerical simulation of compressible turbulent channel flow between adiabatic and isothermal walls. J. Fluid Mech. 2004;502:273–308.
   Web of Science ®Google Scholar
• Foysi H, Sarkar S, Friedrich R. Compressibility effects and turbulence scalings in supersonic channel flow. J Fluid Mech. 2004;509:207–216.
   Web of Science ®Google Scholar
• Tyson CJ, Sandham ND. Numerical simulation of fully-developed compressible flows over wavy surfaces. Int J Heat Fluid Flow. 2013;41:2–15.
   Web of Science ®Google Scholar
• Visbal MR, Gaitonde DV. On the use of higher-order finite-difference schemes on curvilinear and deforming meshes. J Comput Phys. 2002;181:155–185.
   Web of Science ®Google Scholar
• Sun ZS, Ren YX, Larricq C, et al. A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence. J Comput Phys. 2011;230:4616–4635.
   Web of Science ®Google Scholar
• Jameson A, Turkel E. Implicit schemes and LU- decompositions. Math Comput. 1979;37:385–397.
   Web of Science ®Google Scholar
• Choi H, Moin P. Effects of the computational time step on numerical solutions of turbulent flow. J Comput Phys. 1994;113:1–4.
   Web of Science ®Google Scholar
• Liang W, Pollard A. Direct numerical simulation of compressible turbulent channel flows using the discontinuous Galerkin method. Comput Fluids. 2011;47:85–100.
   Web of Science ®Google Scholar
• Schlichting H. Boundary-layer theory. 7th ed. New York (NY): McGraw-Hill; 1979.
   Google Scholar
• Bhaganagar K, Kim J, Coleman G. Effect of roughness on wall-bounded turbulence. Flow Turbul Combust. 2004;72:463–492.
   Web of Science ®Google Scholar
• Nakagawa S, Na Y, Hanratty TJ. Influence of a wavy boundary on turbulence. Exp Fluids. 2003;35:422–436.
   Web of Science ®Google Scholar
• Jim¨¦nez J. Turbulent flow over rough walls. Annu. Rev. Fluid Mech. 2004;36:173–96.
   Web of Science ®Google Scholar
• Bhaganagar K. Direct numerical simulation of unsteady flow in channel with rough walls. Phys Fluids (1994–present). 2008;20:561–570.
   Web of Science ®Google Scholar
• Cui J, Lin CL, Patel VC. Use of large-eddy simulation to characterize roughness effect of turbulent flow over a wavy wall. J Fluids Eng. 2003;125.
   Web of Science ®Google Scholar
• Kim J, Moin P, Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. J Fluid Mech. 1987;177:133–166.
   Web of Science ®Google Scholar