Unit 1

Strong and Weak Form of Conservation of Equations – Introduction to Finite Volume Method: Discretization Schemes and their Properties for Finite Volume Method.

Unit 2

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 Multigrids – Flux-Vector Splitting.

Unit 3

1. Hirsch, “Numerical Computation of Internal and External Flows- Vol1-2”, 2^nd edition, Elsevier, 2007.
2. Veertseeg. H, Malalasekara. W, “An Introduction to Computational Fluid Dynamics – The Finite Volume Approach”, 2^nd ed., Pearson Education Ltd., 2008.

• T.J. Chung, “Computational Fluid Dynamics,”2^nd edition, Cambridge University Press, 2010.
• John Tannehill, Dale Anderson, Richard Pletcher, “Computational Fluid Mechanics and Heat Transfer,” 3^rd Edition, CRC Press, 2013.
• Canuto C., Hussaini M. Y., Quarteroni A., and Zang T. A., “Spectral Methods. Fundamentals in Single Domains.” Springer-Verlag, 2006.