ME6014 COMPUTATIONAL FLUID DYNAMICS L T P C
3 0 0 3
OBJECTIVES:
- To introduce Governing Equations of viscous fluid flows
- To introduce numerical modeling and its role in the field of fluid flow and heat transfer
- To enable the students to understand the various discretization methods, solution procedures and turbulence modeling.
- To create confidence to solve complex problems in the field of fluid flow and heat transfer by using high speed computers.
UNIT I GOVERNING EQUATIONS AND BOUNDARY CONDITIONS 8
Basics of computational fluid dynamics – Governing equations of fluid dynamics – Continuity, Momentum and Energy equations – Chemical species transport – Physical boundary conditions – Time-averaged equations for Turbulent Flow – Turbulent–Kinetic Energy Equations – Mathematical behaviour of PDEs on CFD - Elliptic, Parabolic and Hyperbolic equations.
UNIT II FINITE DIFFERENCE AND FINITE VOLUME METHODS FOR DIFFUSION 9
Derivation of finite difference equations – Simple Methods – General Methods for first and second order accuracy – Finite volume formulation for steady state One, Two and Three -dimensional diffusion problems –Parabolic equations – Explicit and Implicit schemes – Example problems on elliptic and parabolic equations – Use of Finite Difference and Finite Volume methods.
UNIT III FINITE VOLUME METHOD FOR CONVECTION DIFFUSION 10
Steady one-dimensional convection and diffusion – Central, upwind differencing schemes properties
of discretization schemes – Conservativeness, Boundedness, Transportiveness, Hybrid, Power-law, QUICK Schemes.
UNIT IV FLOW FIELD ANALYSIS 9
Finite volume methods -Representation of the pressure gradient term and continuity equation – Staggered grid – Momentum equations – Pressure and Velocity corrections – Pressure Correction equation, SIMPLE algorithm and its variants – PISO Algorithms.
UNIT V TURBULENCE MODELS AND MESH GENERATION 9
Turbulence models, mixing length model, Two equation (k-?) models – High and low Reynolds number models – Structured Grid generation – Unstructured Grid generation – Mesh refinement – Adaptive mesh – Software tools.
TOTAL: 45 PERIODS
OUTCOMES:
Upon completion of this course, the students can able
- To create numerical modeling and its role in the field of fluid flow and heat transfer
- To use the various discretization methods, solution procedures and turbulence modeling to solve flow and heat transfer problems.
TEXT BOOKS:
- Versteeg, H.K., and Malalasekera, W., "An Introduction to Computational Fluid Dynamics: The finite volume Method", Pearson Education Ltd.Second Edition, 2007.
- Ghoshdastidar, P.S., "Computer Simulation of flow and heat transfer", Tata McGraw Hill
Publishing Company Ltd., 1998.
REFERENCES:
- Patankar, S.V. "Numerical Heat Transfer and Fluid Flow", Hemisphere Publishing Corporation,
2004.
- Chung, T.J. "Computational Fluid Dynamics", Cambridge University, Press, 2002.
- Ghoshdastidar P.S., "Heat Transfer", Oxford University Press, 2005
- Muralidhar, K., and Sundararajan, T., "Computational Fluid Flow and Heat Transfer", Narosa
Publishing House, New Delhi, 1995.
- ProdipNiyogi, Chakrabarty, S.K., Laha, M.K. "Introduction to Computational Fluid Dynamics", Pearson Education, 2005.
- Anil W. Date "Introduction to Computational Fluid Dynamics" Cambridge University Press,
2005.
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