Syllabus
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Course Code: *Elective - IV MTTH-112 Course Name: Computational Fluid Dynamics |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Introduction: Introduction to C.F.D., comparison of the three basic approaches in engineering problem solvinganalytical, experimental and computational; models of the flow, substantial derivative, governing equations –
continuity equation, momentum equation, energy equation, Navier-Stokes equation; physical boundary
conditions. Mathematical behavior of governing equations: classification of quasi linear partial differential equations, general method of determining the classification of partial differential equations, general behavior of hyperbolic, parabolic, elliptic equations. |
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| 2 | Discretization: Introduction, finite difference method, difference equations, explicit and implicit approaches, error and stability analysis, Practical aspects of computational modeling of flow domains, Grid Generation, Types of mesh and selection criteria, Mesh quality, Key parameters and their importance | |
| 3 | Heat Conduction: control volume formulation of one-dimensional steady state diffusion, unsteady onedimensional diffusion, two and three dimensional diffusion problems, over and under relaxation. Convection & Diffusion: Steady one-dimensional convection and diffusion, central differencing scheme, upwind differencing scheme, exact solution, exponential, hybrid, and power law schemes, discretization equations for two dimensions & three dimensions. |
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| 4 | Simple CFD Techniques: Lax-Wendroff technique, MacCormack’s technique, space marching, relaxation
technique, pressure correction technique, SIMPLE algorithm. Fluid Flow: CFD solution of subsonic-supersonic isentropic nozzle flow, solution of incompressible Couette flow problem by F.D.M., solution of Navier-Stokes equations for incompressible flows using MAC and SIMPLE methods. |
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