Computational Fluid Dynamics

Transcription

1 Faculty of Engineering & Technology, SRM University, Kattankulathur School of Mechanical Engineering Department ofmechanical Engineering Course plan Course code :ME2422 Date : 15/12/2014 Course title Semester Academic year 1 semester Computational Fluid Dynamics : II : 2014-' 15 leven (Jan-April 2015) Section details: Section Room No. Details offaculty member Name Room No. ~ntercom id Student No. contact time MTech ME2422 P.Sudhakar!MEHI02A 1824 Sudhakar.p@ktr.srmuniv.ac.in PM Solar Energy Syllabus of the course: ME2422 COMPUTATIONAL FLUID DYNAMICS L T P C PURPOSE To study the principles and applications of computational fluid dynamics.

2 INSTRUCTIONAL OBJECTIVES Upon successful completion of the course the students are able to understand the 1. Governing equations of CFO and formulations using FEM. 2. Finite volume formulations applicable to flow problems. 3. Solution methods present in finite difference method. 4. Techniques in turbulence modeling. 5. Grid generation techniques for fluid flow problems. COURSE DESCRIPTION UNIT 1 GOVERNING EQUATIONS 9 Governing equations - Laws of conservation- Mass - Momentum - Energy balance and classification, Initial and boundary conditions - Boundary value problems, FEM Variational formulation - Shape function - Handling B.C in FEM. UNIT 2 FINITE VOLUME METHOD 9 Finite volume formulation- 10,20 and 3D problems - Convection and diffusion problems -Laplace equation - Poisons equation - Parabolic equation. Properties of discretisation schemes - Central differencing schemes, upwind schemes, hybrid schemes and quick schemes. UNIT 3 SOLUTION METHODS 9 Solution methods of discretised equations - Tridiagonal matrix algorithm (TOMA) Application oftoma for 20 and 3D problems potential flow - Stream and vorticity function. Unsteady flows - Explicit scheme, Crank Nicholson scheme, fully implicit scheme SIMPLE algorithm, PISO algorithm.

3 UNIT 4 TURBULENCE MODELING 9 Importance,significance and types - Prantl-mixing length modej- One equation model, K-E model, RSM equation model- Applications. UNIT 5 GRID GENERATION TECHNIQUE 9 Structural grid generation - Algebraic methods, PDE mapping methods. Unstructured grid generation using Delauany - Voronoi methods - Adaptive method - Mesh refinement method - Mesh mover and methods. TOTAL PERIODS 45 REFERENCE BOOKS 1. Zikanov.O., Essential computational Fluid Dynamics, Wiley Chung T. J., Computational Fluid Dynamics, Cambridge UniversityPress, Hirch.c., Numerical Computation ofinternal and externaljlows, Elesvier Date A.W., ComputaNonal Fluid Dynamics, Cambridge university, Bates.P.D., Computational Fluid dynamics, Wiley Minkowycz., Hand book ofnumerical heat transfer, 2 nd Edition Wiley, Ghoshdastidar. P. S., Computer simulation ofjlow and heat transfer, Tata Mc Graw Hill Publishing company Ltd, 1998.

4 Session Pian: S.No Date No. of Title / Details of the References ( code of Hours chapter the Text / Reference books) 1. 1 UNIT -I -GOVERNING R4, chapter 1 EQUATIONS Governing equationscontinuty,momentum and energy equation and its significance 2 1 Conservation and Non R4, chapter 1 conservation form of governing equations 3 1 Classification of pdes - R7, chapter 2 elliptic,parabolic, hyper bolic 4 1 Initial and Boundary R7, chapter 2 conditions- Dirichlet and Neumann 5 1 boundary value problems,and R7 chapter 2 intial value problems- first order,second order 6 1 Problem in one dimensional R7, chapter 2 heat conduction equation 7 1 FEM-Variational formulation- R7, chapter 8 Rayleigh ritz method 8 1 Least square,galerkin method R7, chapter handling B.C in FEM-one R7, chapter 8 dimensional heat conduction problem

5 10 1 UNIT -II FINITE VOLUME R4, chapter 2 METHOD Problems in One dimensional steady state and transient conduction 11 1 Finite Volume Formulation for R4, chapter 2 convection diffusion problem 12 1 One dimensional convection - R4, chapter 2 diffusion with steady flow 13 1 Two dimensional convection - R4, chapter 5 diffusion with steady flow 14 1 Three dimensional convection R4, chapter 5 -diffusion with steady flow 15 1 Properties of Discretization R4, chapter 5 schemes- coservativeness, boundedness, Transportiveness 16 1 Differencing schemes -upwind R4, chapter 5 scheme,quick scheme,powerlaw scheme 17 1 Problem -one dimension R4, chapter 3 conduction diffusion steady flow problem 18 1 Problem --Dne dimension R4, chapter 3 conduction diffusion steady flow problem 19 1 UNIT -III-SOLUTION R7, chapter 5 METHODS Solution methods for laws for conservation- naviers stoke equation

6 20 1 Pressure correction and R7, chapter 5 velocity correction methods 21 1 Formation of momentum R7, chapter 5 equation using Potential flow function and stream function 22 1 Simple algoritihm R7, chapter Piso algoritim R7, chapter Formulation of flow problem R7, chapter 5 using simple algorithm 25 1 Solution cotinuity equation R7, chapter 5 using simple algorithm 26 1 Solution momentum and R7, chapter 5 energy equation using simple algorithm 27 1 R4, chapter 3 Dicretisation of one dimensional convection diffusion equation 28 1 UNIT -IV - TURBULENCE R4, chapter 4 MODELING Turbulence models and significance

7 29 1 R4 chapter 3 Application ofdifferent types ofmodejs 30 1 Prantl mixing length model R4, chapter 4 explanation 31 1 One equation model R4, chapter 4 explanation 32 1 Two equation model R4, chapter 4 explanation 33 1 K-e model explanation R4, chapter RSM model explanation R4, chapter Comparision of Turbulence R2, chapter 4 models 36 1 Advantages and disadvantages R4, chapter 4 ofeach models 37 1 UNIT -V-GRID R7, chapter 8 GENERATION TECHNIQUE Classification of grid generation-structural grid,unstructured grids 38 1 Mapping layout -O,C,H-types R7, chapter 8 of grids

8 39 1 Methods of generation R7, chapter 8 structural grids 40 1 Partial difference equation R7, chapter 8 mapping methods 41 1 Unstructural grids generation R7, chapter Mesh generation alogorithm- R7, chapter 8 Delauany -Voronoi methods 43 1 Adaptive mesh generation R7 chapter 8 method 44 1 mesh refinement method R7 chapter 8 45 mesh mover and mehods. R7 chapter 8 Reference Books: 1. Zikanov.O Essential computational Fluid Dynamics Wiley Chung T. J., "Computational Fluid Dynamics", Cambridge UniversityPress Birch.C.NunericaJ Coputation of internal and external flows EJesvier Date A. W. computational Fluid Dynamics Cambridge university S. Bates.P.D Computational Fluid dynamics.wiley Minkowycz Hand book ofnumerical heat transfer 2 nd Edition Wiley Ghoshdastidar. P. S., " Computer simulation of flow and heat transfer" Tata Mc Graw-Bill Publishing company Ltd

9 Name of the Faculty : P.SUDHAKAR Signature. -' J(VV\ ~\ " ~ Dean / Mechanical