Numerical Simulation and Modelling of Turbulent F

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Description:

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

References:

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[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.

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