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File: Solving Equations Pdf 158758 | Computational Fluid Dynamics
mlr institute of technology computational fluid dynamics vii semester course code category hours week credits maximum marks a5ae30 pcc l t p c cie see total 3 1 0 3 ...

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                                                                                        MLR Institute of Technology 
                                           COMPUTATIONAL FLUID DYNAMICS 
                VII Semester 
                      Course Code                Category           Hours / Week       Credits       Maximum Marks 
                         A5AE30                     PCC             L     T      P        C        CIE     SEE      Total 
                                                                    3     1      0        3         30       70      100 
            •   COURSE OBJECTIVES: 
                The course introduces basic aspects of the Computational Fluid Dynamics (CFD) which are involved in solving 
                a Flow Problem using Numerical Methods. The Course shall impart knowledge of following aspects to the 
                students. 
                 
                1   Understand Basic Philosophy & ideas of CFD 
                2   Explaining Physics behind the Governing Equation 
                3   Identify Governing equations of Fluid Dynamics 
                4   Applications of CFD in various engineering discipline 
                5   Manipulating Governing Equation based on behavior of different types of PDE’s and its impact on CFD 
                6   Describe Various Methods to discretize partial differential equation 
                7   List out Types of grids and Needs of Grid generation  
                8   List out Various techniques employed in CFD to solve Governing equation 
                UNIT-I         INTRODUCTION TO COMPUTATIONAL FLUID DYNAMICS 
                Introduction to computational fluid dynamics, Research tool, Design Tool, Finite control volume, infinitesimal 
                fluid element, substantial derivatives, divergence of Velocity. Governing Equations 
                UNIT-II        GOVERNING EQUATIONS OF FLUID DYNAMICS 
                Form of Governing equation suited for CFD. Conservation form, Non Conservation forms, shock fitting and 
                shock capturing. 
                Classification  of  Quasi-Linear  Partial  differential  equation,  The  Eigen  value  method,  General  behavior  of 
                different classes of Partial differential equation, elliptic, parabolic and hyperbolic 
                UNIT-III       DISCRETIZATION AND TRANSFORMATIONS 
                Introduction, Finite differences and formulas for first and second derivatives, difference equations, Explicit and 
                implicit approaches, multidimensional finite difference formulas, finite difference formulas on non-uniform grids. 
                Problems on 1D , 2D discretization using FDE,BDE,CDE 
                UNIT-IV        GRID GENERATION 
                Need  for  grid  generation.  Structured  grids-  Cartesian  grids,  stretched  (compressed)  grids,  body  fitted 
                structured grids, Multi-block grids - overset grids with applications. 
                Unstructured grids- triangular/ tetrahedral cells, hybrid grids, quadrilateral/hexahedra cells.  Grid Generation 
                techniques - Delaunay triangulation, Advance font method. Surface and volume estimations, grid quality and 
                best practice guidelines. 
                Problems on grid transformations 
                 
                UNIT-V         CFD TECHNIQUES 
                Lax-Wendroff technique, MacCormack’s technique, Crank Nicholson technique, Relaxation technique- aspects 
                of  numerical  dissipation  and  dispersion,  Alternating-Direction-Implicit  (ADI)  Technique.  Pressure  correction 
                technique Numerical procedures- SIMPLE, SIMPLER algorithms SIMPLEC and PISO algorithms Boundary 
                conditions for the pressure correction method. Parallel Computing. 
                Text Books: 
                1.John .D. Anderson “Computational Fluid Dynamics”, McGraw Hill 
                2.Hoffmann, K.A: Computational Fluid Dynamics for Engineers, Engineering Education System, Austin, Tex., 
                1989 
                B. Tech Aeronautical Engineering                                        Syllabus Regulation– MLR20             
                                                                                                                                   MLR Institute of Technology 
                         
                        Reference Books: 
                           1.  J Blazek, “Computational Fluid Dynamics: Principles and Applications” Elsevier. 
                           2.    Chow CY,” Introduction to Computational Fluid Dynamics”, John Wiley, 1979 
                  •     COURSE OUTCOMES: 
                  •     Upon successful completion of this course, the student will have 
                        1.  Describe the major theories, approaches and methodologies used in CFD 
                        2.  Apply CFD methods (e.g. boundary conditions, turbulence modeling etc.) in commercial cfd codes and 
                              describe the limitations on accuracy 
                        3.  Apply CFD analysis to real engineering designs 
                        4.  Use finite difference and finite volume methods in CFD modeling 
                  •      
                                                                                                  
                        B. Tech Aeronautical Engineering                                                                           Syllabus Regulation– MLR20                               
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...Mlr institute of technology computational fluid dynamics vii semester course code category hours week credits maximum marks aae pcc l t p c cie see total objectives the introduces basic aspects cfd which are involved in solving a flow problem using numerical methods shall impart knowledge following to students understand philosophy ideas explaining physics behind governing equation identify equations applications various engineering discipline manipulating based on behavior different types pde s and its impact describe discretize partial differential list out grids needs grid generation techniques employed solve unit i introduction research tool design finite control volume infinitesimal element substantial derivatives divergence velocity ii form suited for conservation non forms shock fitting capturing classification quasi linear eigen value method general classes elliptic parabolic hyperbolic iii discretization transformations differences formulas first second difference explicit imp...

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