Syllabus
Mathematical models for fluid dynamics – classification of partial differential equations – discretization methods – finite difference formulation – numerical solution of elliptic equations – linear system of algebraic equations – numerical solution of parabolic equations – stability analysis – numerical solution of hyperbolic equations – finite volume method – time integration schemes – isentropic flow through CD nozzle – simulation of shockwave formation – incompressible Navier–Stokes equations and their solution algorithms – basics of grid generation.
Text Books
Same as Reference
References
1. Hirsch, C., Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics, Vol. I, 2nd ed., Butterworth-Heinemann (2007).
2. Pletcher, R. H., Tannehill, J. C., and Anderson, D. A., Computational Fluid Mechanics and Heat Transfer, 3rd ed., Taylor & Francis (2011).
3. Hoffmann, K. A. and Chiang, S. T., Computational Fluid Dynamics for Engineers, 4th ed., Engineering Education Systems (2000).
4. Anderson, J. D., Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill (1995).
5. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere Pub. Corporation (1980).
6. Ferziger, J. H. and Perić, M., Computational Methods for Fluid Dynamics, 3rd ed., Springer (2002).
7. Roache, P. J., Fundamentals of Computational Fluid Dynamics, Hermosa Publishers (1998).
8. Fletcher, C. A. J., Computational Techniques for Fluid Dynamics 1: Fundamental and General Techniques, 2nd ed., Springer (1996).
Course Outcomes (COs):
CO1: To develop an understanding for major theories, approaches and methodologies used in CFD.
CO2: To understand the central difference, upwind, hybrid, power law, QUICK and other higher order schemes to convection-diffusion problems.
CO3: To understand the stability problems of the convection schemes, to understand the solution algorithms for pressure-velocity coupling.
CO4: To understand and use the finite volume method for one, two and three-dimensional steady state diffusion problems.
CO5: To apply the TDMA method for the solution of one, two and three-dimensional problems.
CO6: To gain experience in the application of CFD analysis to real life engineering designs.
CO7: Set up the most appropriate CFD model (in terms of boundary conditions, material prop- erties, solution control parameters, solution monitor, etc.) for the problem in hand.
CO8: Explain how to conduct both Steady state and Transient (time dependent) fluid flow sim- ulations.
CO9: Explain how to solve for both Incompressible and Compressible fluid flow applications.
CO10: Describe how and extract the required results and plots from the wealth of information available at the solution stage.