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The course deals with the numerical solution of equations governing fluid flow and would be of interest to engineers and scientists—both aspiring and professional—with chemical/ mechanical/ civil/ aerospace engineering applications. In all these fields, one needs to deal extensively with fluid flow related phenomena and one needs to resolve flow-related features of the processes and equipment. Although the equations governing fluid flow have been formulated more than 150 years ago, it is only in recent years that these are being solved in the practical applications in which the flow occurs. The course deals with the basic techniques that enable the numerical solution of these equations. 

Week .No



Introduction : calculation of flow in a rectangular duct 


Calculation of fully developed flow in a triangular duct


Derivation of equations governing fluid flow


Equations for incompressible flow and boundary conditions


Basic concepts of CFD: Finite difference approximations


Basic concepts of CFD: Consistency, stability and convergence


Solution of Navier Stokes for compressible flows


Solution of Navier Stokes equations for incompressible flows


Solution of linear algebraic equations: basic methods


Solution of linear algebraic equations: advanced methods


Basics of finite volume method including grid generation


Turbulent flows and turbulence modelling

At least one course in fluid mechanics. In addition, at least one course in numerical techniques and one course in computer programming would be essential

  • Ferziger J.H. & Peric M. (1999) Computational Methods for Fluid Dynamics, Springer, Berlin, Germany.
  • Hirsch C. (1988) Numerical Computation of Internal and External Flows, John Wiley & Sons, New York, USA.
  • Patankar S.V. (1980) Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington D.C., USA.
  • Versteeg H.K. & Malalsekera W. (1995) An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Longman Scientific & Technical, Harlow, Essex, UK.
  • Anderson J.D. (1995) Computational Fluid Dynamics: The Basics with Applications,McGraw-Hill, Inc.

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