1. COMPUTATIONAL FLUID DYNAMICS (AE 2402) Presented by IRISH ANGELIN S AP/AERO

2. AGENDA OF PRESENTATION AGENDA OF PRESENTATION  INTRODUCTION  OBJECTIVE  LESSON  BOOKS (TEXT/REFERENCE)  SEMINAR TOPICS  ASSIGNMENT TOPICS

3. INTRODUCTION INTRODUCTION Computational Fluid Dynamics  Computational Fluid Dynamics (CFD) is a branch of fluid mechanics that uses numerical methods and algorithms to solve and analyze problems that involve fluid flows.  Computers are used to perform the calculations required to simulate the interaction of liquids and gases with surfaces defined by boundary conditions.

4. OBJECTIVE  To study the flow of dynamic fluids by computational methods

5. UNITS LIST OF UNITS 1. Fundamental concepts 2. Grid generation 3. Discretization 4. Finite element techniques 5. Finite volume techniques.

6. UNIT I FUNDAMENTAL CONCEPTS 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. Explicit finite difference methods of subsonic, supersonic and viscous flows.

7. UNIT II GRID GENERATION Structured grids. Types and transformations. Generation of structured grids. Unstructured grids. Delany triangulation.

8. UNIT III DISCRETIZATION 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

9. FINITE ELEMENT TECHNIQUES Overview of Finite Element Techniques in Computational FluidDynamics. Strong and Weak Formulations of a Boundary Value Problem. UNIT IV

10. UNIT V FINITE VOLUME TECHNIQUES 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. Flux – splitting schemes. Pressure correction solvers – SIMPLE, PESO. Vorticity transport formulation. Implicit/semi-implicit schemes.

11. BOOKS TEXT BOOK  Fletcher, C.A.J., “Computational Techniques for Fluid Dynamics”, Vols. I and II, Springer - Verlag, Berlin, 1988. REFERENCES  John F. Wendt (Editor), “Computational Fluid Dynamics - An Introduction”, Springer – Verlag, Berlin, 1992  Charles Hirsch, “Numerical Computation of Internal and External Flows”, Vols. I and II. John Wiley & Sons, New York, 1988.  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.  Anderson, Jr.D., “Fundamentals of Aerodynamics”, McGraw-Hill, 2000.

12. SEMINAR TOPICS  Discretization of partial Differential Equations  Unstructured grids.  Stability properties of explicit and implicit methods  Finite Element Techniques in CFD  Implicit/semi-implicit schemes.

13. ASSIGNMENT TOPICS  Mathematical properties of Fluid Dynamics Equations  Structured grids Types  Advantages of upwind differencing  Strong and Weak Formulations of a Boundary Value Problem  Difference between Central and Up-wind Type Discretizations.

14. THANK YOU