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This is an introductory course in CFD. In this course, students will be exposed to basics of CFD. Students will gain knowledge on FD/ FV strategy, formulation of the problem and solution techniques. Students at the end of the course will get to experience a simple and sample working CFD code and thus develop confidence.

 Week. No Topics 1. Module1: Introduction  Module 2: Review of basic equations and importance of terms Module 3: Non-dimensionalization / Vorticity Transport equation Module 4: classification of equations Module 5:  examples of different equations and the solution nature Module 6: Different boundary conditions Module 7: Description of CFD results with examples 2. Module 1:Taylor’s series expansion Module 2: CD / FD / BD for first & second derivative Module 3: Higher derivative, mixed derivative  Module 4: FD formula for non-uniform mesh  Module 5: order of accuracy, Truncation error  Module 6: consistency, conservative, and convergence 3. Module 1: Stability, CFL criteria Module 2: Stabilty, CFD criteria contd. Module 3: Classification of grid  Module 4: examples for each type Module 5:  Finite Difference / Finite Volume Strategy Module 6:  FD / FV strategy contd.  Module 7: Explanation with model equation 4. Module 1: Building FV strategy for diffusion term in NS equation Module 2: About convection terms and FV approach for it Module 3: different types of Interpolation to obtain flux Module 4: FV strategy for other terms in NS equation in 1D  Module 5: Complete assembly and explanation  Module 6: Extension to 2D and 3D 5. Module 1: Time advancement:  Explicit / Implicit / Semi-implicit Module 2: Pressure velocity coupling Module 3: Arrangement of primitive variables Module 4: SIMPLE Module 5: Variants of SIMPLE and MAC Module 6: Other coupling method 6. Module 1: Matrix inversion – Direct, Iterative procedure Module 2: Direct solver / Iterative solver Module 3: Iterative solver Module 4: Iterative solver Module 5: Iterative solver Module 6: Mention about few other solver 7. Module 1: Results checking, relaxation parameter Module 2: Post processing – explanation with examples Module 3: Demonstrating with heat equation Module 4: Demonstrating with heat equation Module 5: Demonstrating with 2D NS equation Module 6: Demonstrating with 2D NS equation Module 7: Demonstrating with 2D NS equation

Basic fluid mechanics, Numerical Techniques / methods, some programming skills