Subject Code:  ME3L013 Subject Name: Computational Fluid Dynamics L-T-P: 3-0-0 Credit: 3
Pre-Requisite(s): Fluid Mechanics
Basic conservation equations for fluid flow and heat transfer, classification of partial differential equations and pertinent physical behavior, parabolic, elliptic and hyperbolic equations, role of characteristics; Common methods of discretisation: an overview of finite difference and finite volume methods; Numerical solution of parabolic partial differential equations using finite-difference and finite-volume methods: explicit and implicit schemes; Consistency, stability and convergence; Numerical solution of systems of linear algebraic equations: iterative methods, tridiagonal matrix algorithm, Jacobi and Gauss-Seidel iterations, necessary and sufficient conditions for convergence of iterative schemes; The finite volume method of discretisation for diffusion problems; Convection-diffusion problems; Numerical solution of the Navier-Stokes system for incompressible flows.
Text/Reference Books:
  1. Patankar S.V., Numerical Heat Transfer and Fluid Flow, Taylor and Francis.
  2. Versteeg H.K., and Malalasekera W., Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson Publisher. 
  3. Tannehill J.C., Anderson D.A., and Pletcher R.H., Computational Fluid Mechanics and Heat Transfer, Taylor and Francis Group.
  4. Anderson Jr. D.A., Computational Fluid Dynamics, McGraw-Hill Publisher.
  5. Smith G.D., Numerical Solution of Partial Differential Equations: Finite Difference Methods, Oxford University Press.