PE354: COMPUTATIONAL FLUID DYNAMICS 
                                              CREDITS = 5 (L=3, T=0, P=2) 
              
             Teaching and Assessment Scheme: 
               Teaching Scheme        Credits                          Assessment Scheme 
                                                          Theory                      Practical              Total 
               L       T        P        C                                                                  Marks 
                                                   ESE            CE             ESE             CE         
               3       0        2         5         70             30             30             20          150 
             Course Contents: 
               Unit                                      Topics                                        Teaching 
               No.                                                                                      Hours 
                 1     Introduction to CFD:                                                               03 
                       Why CFD; CFD as a research tool; CFD as design tool; Applications of 
                       CFD; What is CFD. 
                 2     Governing equations of fluid dynamics:                                             10 
                       Introduction; Models of flow (Finite control volume; Infinitesimal fluid 
                       element);  Substantial  derivative;  Divergence  of  velocity;  Continuity 
                       equation (Model of finite control volume fixed in space, Model of finite 
                       control volume moving with fluid, Model of infinitesimally small element 
                       fixed in space, Model of infinitesimally small fluid element moving with 
                       flow); Momentum equation; Energy equation; Equations for viscous flow 
                       (Navier Stokes equations); Equations for inviscid flow (Euler equations); 
                       Physical boundary conditions. 
                 3     Mathematical behavior of Partial Differential Equations:                           10 
                       Introduction; Classification of quasi-linear PDE’s (Cramer’s rule method, 
                       Eigen  value  method);  General  behavior  of  different  classes  of  PDE’s 
                       (Hyperbolic equations, Parabolic equations, Elliptic equations). 
                 4     Basics of discretization:                                                          06 
                       Introduction;  Finite  difference;  Difference  equations;  Explicit  and 
                       implicit approaches; Errors and analysis of stability. 
                 5     Grids with appropriate transformations:                                            06 
                       Introduction;  General  transformations  of  equations;  Metrics  and 
                       Jacobians;  Form  of  governing  equations  particularly  suited  for  CFD; 
                       Stretched  (compressed)  grids;  Boundary  fitted  coordinate  systems 
                       (Elliptic grid generation); Adaptive grids. 
                 6     CFD techniques:                                                                    07 
                       Introduction;   Lax-Wendroff  technique;  Maccormack’s  technique; 
                       Viscous  flow,  conservation  form  and  space  marching;  Relaxation 
                       technique;  Numerical  dissipation  and  dispersion,  Artificial  viscosity; 
                       Alternating  Direction  Implicit  (ADI)  technique;  Pressure  correction 
                       technique. 
                                                                                         TOTAL            42 
              
     List of References: 
      
       1.  J.  D.  Anderson,  Jr.,  “Computational  Fluid  Dynamics:  The  basics  with  applications”, 
        International edition, Mc-Graw Hill, 1995. 
       2.  Veersteeg and Malalasekara, “CFD: The finite volume method”, Prentice Hall, 1996. 
       3.  A. W. Date, “Introduction to Computational Fluid Dynamics”, Cambridge University Press, 
        2005. 
       4.  Goshdastidar, “Computer simulation of flow and heat transfer”, Tata Mc-graw Hill.