ME1011 Computational Fluid Dynamics Syllabus

ME1011 COMPUTATIONAL FLUID DYNAMICS 3 0 0 100

OBJECTIVE
To study the flow of dynamic fluids by computational methods

1. FUNDAMENTAL CONCEPTS 10
Introduction - Basic Equations of Fluid Dynamics - Incompressible In viscid Flows: Source, vortex and doublet panel, methods - lifting flows over arbitrary bodies. Mathematical properties of Fluid Dynamics Equations -_ Elliptic, Parabolic and Hyperbolic equations - Well posed problems -
discretization of partial Differential Equations -Transformations and grids - Explicit finite difference methods of subsonic, supersonic and viscous flows.

2. PANEL METHODS 7
Introduction – Source panel method – Vortex panel method – Applications.

3. DISCRETIZATION 8
Boundary layer Equations and methods of solution -Implicit time dependent methods for inviscid and viscous compressible flows - Concept of numerical dissipation --Stability properties of explicit and implicit methods - Conservative upwind discretization for Hyperbolic systems - Further advantages of upwind differencing.

4. FINITE ELEMENT TECHNIQUES 10
Finite Element Techniques in Computational Fluid Dyna­mics; introduction - Strong and Weak Formulations of a Boundary Value Problem - Strong formulation - Weighted Residual Formulation - Galerkin Formulation - Weak Formu­lation - Variational Formulation - Piecewise defined shape functions - Implementation of the FEM - The Solu­tion Procedure.

5. FINITE VOLUME TECHNIQUES 10
Finite Volume Techniques - Cell Centered Formulation - ~ Lax - Vendoroff Time Stepping - Runge - Kutta Time Stepping - Multi - stage Time Stepping - Accuracy -. Cell Vertex Formulation - Multistage Time Stepping - FDM -like Finite Volume Techniques - Central and Up-wind Type Discretizations - Treatment of Derivatives.

TOTAL : 45

TEXT BOOK
1. Fletcher, C.A.J., “Computational Techniques for Fluid Dynamics”, Vols. I and II, Springer - Verlag, Berlin, 1988.

REFERENCES
1. John F. Wendt (Editor), “Computational Fluid Dyna­mics - An Introduction”, Springer – Verlag, Berlin, 1992
2. Charles Hirsch, “Numerical Computation of Internal and External Flows”, Vols. I and II. John Wiley & Sons, New York, 1988.
3. Klaus A Hoffmann and Steve T. Chiang. “Computational Fluid Dynamics for Engineers”, Vols. I & II Engineering Education System, P.O. Box 20078, W. Wichita, K.S., 67208 - 1078 USA, 1993.
4. Anderson, Jr.D., “Fundamentals of Aerodynamics”, McGraw-Hill, 2000.
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