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  • 7:40 PM, Saturday, 16 Oct 2021

Course Undergraduate
Semester Electives
Subject Code AE498
Subject Title Computational Methods for Compressible Flow


Basic equations – hierarchy of mathematical models – mathematical nature of flow equations and boundary conditions – finite difference and finite volume methods – analysis of schemes: numerical errors, stability, numerical dissipation – grid generation – wave equation – numerical solution of compressible Euler equation: discontinuities and entropy, mathematical properties of Euler equation – reconstruction-evolution – upwind methods – boundary conditions – numerical solution of compressible Navier-Stokes equations – turbulence modeling: RANS, LES, DNS – higher-order methods – uncertainty in CFD: validation and verification.

Text Books

1. Hirsch, C., Numerical Computation of Internal and External Flows, Vol. I & II, Wiley (1998).

2. Laney, C. B., Computational Gasdynamics, Cambridge Univ. Press (1998).

3. LeVeque, R. J., Numerical Methods for Conservation Laws, 2nd ed., Birkhauser (2005).

4. Hoffmann, K. A. and Chiang, S. T., Computational Fluid Dynamics for Engineers, Vol. I, II & III, Engineering Education Systems (2000).

5. Toro, E. F., Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, 3rd ed., Springer (2009).

6. Blazek, J., Computational Fluid Dynamics: Principles and Applications, 2nd ed., Elsevier (2006).

7. Roache, P. J., Fundamentals of Verification and Validation, Hermosa Publishers (2009).