Numerical Simulation and Modelling of Turbulent Flows

Numerical Simulation and Modelling of Turbulent F

  • Course code

    ME 656

  • L-T-P-C


  • Syllabus


  • Eligible Programmes


  • Numerical Simulation and Modelling of Turbulent F

    Introduction: Physical description and significance of turbulent flows. Transition and onset of turbulence; Turbulent free shear and wall-bounded flows; Challenges and complexities. Direct Numerical Simulation (DNS): Introduction; Governing Equations; Computational cost; Examples of DNS of channel and free-shear flows. Large Eddy Simulation (LES): Introduction; Filtering; Filtered conservation equations; Smagorinsky’s model; Appraisal and perspective. Reynolds Averaged Equations: Reynolds averaging; Reynolds averaged equations; Closure problem. Turbulent Viscosity Models: Turbulent viscosity hypothesis; Algebraic models; Turbulent-kinetic-energy models; Exact and modelled equations for turbulent-kinetic-energy and its dissipation; Modifications for wall effects and buoyancy- driven flows. Reynolds-Stress Models: Introduction; Closure relations; Examples; Limitations


    [1] Tennekes, H., and Lumley, J.L., 1972, A First Course in Turbulence, MIT Press, Cambridge, Massachusetts, USA.

    [2] Pope, S.B., 2000, Turbulent Flows, Cambridge University Press.

    [3] Ferziger, J.H., and Peric, M., 2002, Computational Methods for Fluid Dynamics, Springer.

    [4] Schlichting, H., and Gersten, K., 2000, Boundary Layer Theory, Springer.

    [5] Garde, R.J., 2000, Turbulent Flow, New Age International.

    [6] Wilcox, D.C., 1993, Turbulence Modelling for CFD, DCW Industries, California, USA.

    [7] White, F.M., 1991, Viscous Fluid Flow, McGraw-Hill.

    [8] White, F.M., 1999, Fluid Mechanics, McGraw-Hill.