BAE074

Computational Fluid Mechanics

L-T-P3-0-0 Credits3 Session2025-26 TypeTheory
Appears in 1 semester

B.Tech Aeronautical Engineering · Sem 7 (Departmental Elective-IV)

Syllabus

5 units
Unit1

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.

Unit2

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.

Unit3

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.

Unit4

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.

Unit5

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.

Course Outcomes (COs)5 outcomes

After completion of the course student will be able to:

  1. CO1Understand the governing equations of fluid flow and their mathematical classification.K2
  2. CO2Apply numerical methods to discretize and solve fluid dynamics problems.K3
  3. CO3Analyze the stability, consistency, and convergence of finite difference schemes.K3
  4. CO4Understand finite volume methods and grid generation techniques for CFD applications.K2
  5. CO5Implement iterative solvers and algorithms like SIMPLE for fluid flow simulations.K3

Textbook

  1. and References:
  2. H. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson Education.
  3. John D. Anderson Jr., Computational Fluid Dynamics: The Basics with Applications, McGraw Hill.
  4. T. J. Chung, Computational Fluid Dynamics, Cambridge University Press.
  5. Charles Hirsch, Numerical Computation of Internal and External Flows, Vol. I & II, Wiley.
  6. P. Niyogi, S. K. Chakraborty, and M. K. Laha, Introduction to Computational Fluid Dynamics, Pearson Education.

Official AKTU syllabus

This subject is on page 8 of the original AKTU PDF.

Official AKTU syllabus PDF ↗