Numerical Computation of Compressible Fluid Flows

Dighe, A S and Eswaran, Vinayak (2012) Numerical Computation of Compressible Fluid Flows. Masters thesis, Indian Institute of Technology Hyderabad.

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Abstract

The physical behavior of compressible fluid flow is quite different from incompressible fluid flow. Compressible fluid flows encounter discontinuities such as shocks; and their solution is complicated by the hyperbolic nature of the governing equations. In the present study the MacCormack scheme with Jameson‟s and TVD artificial viscosity has been implemented to solve the 2D Euler equation. One dimensional problems such as flows in a shock tube, Quasi 1D nozzle problems with transition from subsonic to supersonic, subsonic to subsonic flow, with and without shocks, have also been solved in the preliminary portion of the study. Test cases of external flow over a NACA 0012 airfoil for different inlet Mach numbers have been attempted and validated. An unsuccessful attempt was being made to implement variants of MacCormack scheme in explicit and semi implicit form.

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