AKTU Computational Fluid Dynamics (BAE074) Syllabus PDF – B.Tech 4th Year
Computational Fluid Dynamics BAE074
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- Semester 7
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Syllabus — Computational Fluid Dynamics
Download PDFBAE074 · 3 credits · L-T-P 3-0-0
Course Outcomes
| Course Outcomes: After completion of this course, the students will be able to: | Bloom’s Taxonomy | |
| CO-1 | Understand the governing equations of fluid flow and their mathematical classification. | K2 |
| CO-2 | Apply numerical methods to discretize and solve fluid dynamics problems. | K3 |
| CO-3 | Analyze the stability, consistency, and convergence of finite difference schemes. | K3 |
| CO-4 | Understand finite volume methods and grid generation techniques for CFD applications. | K2 |
| CO-5 | Implement iterative solvers and algorithms like SIMPLE for fluid flow simulations. | K3 |
Unit-1: Introduction to CFD and Governing Equations 8 Hours
Principles of conservation: Continuity, Navier-Stokes, and Energy equations. Structure of conservation equations. Classification of partial differential equations and their physical interpretation. Approximate solutions: error minimization, variational principles, and weighted residual methods.
Unit-2: Numerical Methods and Discretization 8 Hours
Principles of conservation: Continuity, Navier-Stokes, and Energy equations. Structure of conservation equations. Classification of partial differential equations and their physical interpretation. Approximate solutions: error minimization, variational principles, and weighted residual methods.
Unit-3: Finite Volume Methods and Grid Techniques 8 Hours
Integral form equations, numerical fluxes at cell faces, upwind methods, flux vector and flux difference splitting, shock capturing methods. Role of CFD in design. Explicit and implicit methods. Grid types and stability analysis in time-dependent problems.
Unit-4: Stability Analysis and Discretization Schemes 8 Hours
LAX equivalence theorem. Stability analysis of parabolic and hyperbolic equations using FTCS, CTCS, FTFS, FTBS, and Leapfrog schemes. Finite volume discretization of 2-D unsteady diffusion problems.
Unit-5: Solvers and Advanced Topics 8 Hours
Solving linear algebraic systems: elimination, iterative and gradient-based methods. Finite volume discretization of convection-diffusion equations. Navier-Stokes equation approaches: stream function-vorticity and primitive variable. SIMPLE and SIMPLER algorithms. Unstructured grid formulation.
Text Books
- H. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson Education.
- John D. Anderson Jr., Computational Fluid Dynamics: The Basics with Applications, McGraw Hill.
- T. J. Chung, Computational Fluid Dynamics, Cambridge University Press.
- Charles Hirsch, Numerical Computation of Internal and External Flows, Vol. I & II, Wiley.
- P. Niyogi, S. K. Chakraborty, and M. K. Laha, Introduction to Computational Fluid Dynamics, Pearson Education.
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