Syllabus
Unit 1
Introduction to Numerical Methods – Properties of Numerical Solutions: Errors, Consistency, Accuracy, Stability, Convergence, Conservation – Review of Governing Equations of Fluid Dynamics – Review of Classification of PDE’s.
Lab Components: Introduction to ANSYS Fluent
Unit 2
Introduction to the Finite Difference Methods: Discretization of Temporal and Spatial Derivatives, Explicit and Implicit Formulations – Mccormack’s Scheme, Extensions to Viscous Flows – Shock Capturing – Lax-Wendroff Method.
Lab Components: Simulation of incompressible flow over external objects such as flow over cylinder and flow over airfoil
Unit 3
Stability Analysis: Von Neumann Stability Criteria, CFL Criterion for Stability – Introduction to Grid Generation: Body Conforming Grids, Algebraic and Elliptic Grids, 2D Unstructured Grids, C-Grids, O- Grids and H-Grids for Flow Past Airfoils and Wings.
Lab Components: Simulation of compressible flow through nozzle, jet expansion study, and flow over nose cone.
Objectives and Outcomes
Requisites: 23AEExxx Mechanics of Fluids
Course Objectives
The course’s objective is to introduce students to the finite difference method and related numerical techniques involved in studying fluid flow problems.
Course Outcomes
CO1: Understanding of conservation and non-conservation form of the governing equation of fluid dynamics. CO2: Utilize finite difference method for the discretization of the fluid flow problems.
CO3: Make use of suitable numerical methods for solving the governing equations in the discretized domain by understanding stability and convergence.
CO4: Choose proper structured/ unstructured 2D grids specific to fluid flow problems. CO5: Apply the FDM to develop CFD techniques: Lax-Wendroff, MacCormack techniques.
CO6: Experiment numerically the theoretical understanding of Computational Fluid Dynamics using software packages.
CO-PO Mapping
PO/PSO |
PO1 |
PO2 |
PO3 |
PO4 |
PO5 |
PO6 |
PO7 |
PO8 |
PO9 |
PO10 |
PO11 |
PO12 |
PSO1 |
PSO2 |
PSO3 |
CO |
CO1 |
3 |
3 |
1 |
3 |
– |
– |
– |
– |
– |
– |
– |
1 |
3 |
1 |
2 |
CO2 |
3 |
3 |
1 |
2 |
2 |
– |
– |
– |
– |
– |
– |
1 |
3 |
2 |
2 |
CO3 |
3 |
3 |
1 |
2 |
3 |
– |
– |
– |
2 |
– |
– |
1 |
3 |
3 |
2 |
CO4 |
2 |
3 |
1 |
1 |
3 |
– |
– |
– |
– |
– |
– |
2 |
3 |
3 |
2 |
CO5 |
3 |
3 |
3 |
1 |
3 |
– |
– |
– |
– |
– |
– |
2 |
3 |
3 |
2 |
CO6 |
2 |
3 |
3 |
3 |
3 |
– |
– |
– |
3 |
3 |
– |
3 |
3 |
3 |
3 |
Text Books / References
Text Book(s)
John D Anderson, “Computational Fluid Dynamics – The Basics with Application”, McGraw-Hill, 2017.
Reference(s)
T.J. Chung, “Computational Fluid Dynamics”, Cambridge University Press,2010.