Review of PDEs and their classification--Conservation laws--Concepts of characteristics-- Riemann problem for linear equations--Concept of finite volume methods--Conservation, consistency and stability--Upwind methods--Godunov scheme--High resolution schemes-- TVD and limiting--Euler equations--Approximate Riemann solvers--Temporal discretisation-
-Boundary conditions--Convergence acceleration techniques--Unsteady flows--Introduction to unstructured grids.
 R.J.LeVeque, Numerical methods for conservation laws, Second edition, Birkhauser, 1992.
 R.J. LeVeque, Finite volume methods for hyperbolic problems, Cambridge University Press, 2002.
 C.B. Laney, Computational Gas Dynamics, Cambridge University Press, 1998.
 J. Blazek, Computational Fluid Dynamics: Principles and Applications, Second edition, Elsevier, 2005.
 Doyle Knight, Elements of Numerical Methods for Compressible Flows, Cambridge University Press, 2006.
 C. Hirsch, Numerical Computation of Internal and External Flows: Fundamentals of Computational Fluid Dynamics, Vol.1, 2nd Edition, Butterworth-Heinemann, 2007.