Unit 1
Strong and Weak Form of Conservation of Equations – Introduction to Finite Volume Method: Discretization Schemes and their Properties for Finite Volume Method.
Course Name | Advanced Computational Fluid Dynamics |
Course Code | 23AEE451 |
Program | B. Tech. in Aerospace Engineering |
Credits | 3 |
Campus | Coimbatore |
Strong and Weak Form of Conservation of Equations – Introduction to Finite Volume Method: Discretization Schemes and their Properties for Finite Volume Method.
Finite Volume Method for Convection-Diffusion Problems: Central Differencing, Upwind Differencing, Power-Law Differencing, Quick and TVD Schemes with their Assessments – Staggered and Collocated Grids – Introduction to Multigrid – Flux-Vector Splitting.
Introduction to Solution Algorithms: SIMPLE, SIMPLER, SIMPLEC, and PISO Algorithms – Introduction to Turbulence Models and Associated Parameters – Introduction to Aerodynamic Shape Optimization – Introduction to Spectral Methods.
Course Objectives
The course aims to introduce students to the finite volume method and related advanced numerical techniques and algorithms.
Course Outcomes
CO1: Understanding the strong and weak forms of governing equations and the Finite Volume Method (FVM) basics to discretize partial differential equations.
CO2: Applying FVM schemes like upwind, Central Difference, power-law, quick, Total Variation Diminishing schemes for convection-diffusion type problems and assessing the schemes.
CO3: Applying solution methodologies like SIMPLE, SIMPLER, SIMPLEC, and PISO for staggered and collocated grids.
CO4: Understanding Turbulence Models and Associated parameters.
CO5: Understanding of advanced concepts: multigrid, flux-vector splitting, spectral methods, aerodynamic shape optimization.
CO6: Numerically model the fluid dynamic problems using open-source packages such as OpenFoam.
CO-PO Mapping
PO/PSO | PO1 | PO2 | PO3 | PO4 | PO5 | PO6 | PO7 | PO8 | PO9 | PO10 | PO11 | PO12 | PSO1 | PSO2 | PSO3 |
CO | |||||||||||||||
CO1 | 3 | – | – | – | – | – | – | – | 2 | – | – | 2 | 3 | 2 | 1 |
CO2 | 2 | 2 | – | – | – | – | – | – | 2 | – | – | 2 | 2 | 2 | 1 |
CO3 | 2 | 2 | – | – | – | – | – | – | 2 | – | – | – | 2 | 2 | 1 |
CO4 | 2 | – | – | – | – | – | – | – | 2 | – | – | 2 | 3 | 2 | 1 |
CO5 | 2 | 2 | – | – | – | – | – | – | 2 | – | – | 2 | 2 | 2 | 1 |
CO6 | 2 | 2 | – | 2 | 3 | – | – | – | 3 | 3 | – | 2 | 2 | 3 | 3 |
Evaluation Pattern
Assessment | Internal | End Semester |
Midterm Exam | 30 | |
*Continuous Assessment (CA) | 30 | |
End Semester | 40 |
*CA – Can be Quizzes, Assignment, Projects, and Reports
Text Book(s)
Veertseeg.H, Malalasekara.W, “An Introduction to Computational Fluid Dynamics- The Finite Volume Approach”, 2nd edition, Pearson Education Limited, 2008.
Reference(s)
Hirsch, “Numerical Computation of Internal and External Flows- Vol 1-2”, 2nd edition, Elsevier, 2007.
Tu, Jiyuan, Guan Heng Yeoh, and Chaoqun Liu. Computational fluid dynamics: a practical approach. Butterworth- Heinemann, 2018.
John Tannehill, Dale Anderson, Richard Pletcher, “Computational Fluid Mechanics and Heat Transfer,” 3rd Edition, CRC Press, 2013.
Canuto C., Hussaini M. Y., Quarteroni A., and Zang T.A., “Spectral Methods. Fundamentals in Single Domains.” Springer-Verlag, 2006.
DISCLAIMER: The appearance of external links on this web site does not constitute endorsement by the School of Biotechnology/Amrita Vishwa Vidyapeetham or the information, products or services contained therein. For other than authorized activities, the Amrita Vishwa Vidyapeetham does not exercise any editorial control over the information you may find at these locations. These links are provided consistent with the stated purpose of this web site.