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  • 9:53 PM, Friday, 22 Oct 2021

Course Postgraduate
Semester Electives
Subject Code AE815
Subject Title Computational Methods for Compressible Flows


Basic equations – Hierarchy of mathematical models – Mathematical nature of flow equationsand boundary conditions – Finite difference and finite volume methods – Analysis of Schemes:Numerical errors, stability, numerical dissipation – Grid generation – Wave equation – NumericalSolution of Compressible Euler Equation: Discontinuities and entropy, mathematical propertiesof Euler equation – Reconstruction-evolution – Upwind methods – Boundary conditions – Nu-merical solution of compressible Navier-Stokes equations – Turbulence Modeling: RANS, LES,DNS – Higher-order methods – Uncertainty in CFD: Validation and verification

Text Books

Information Not Available


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 PracticalIntroduction, 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)