Abstract
In this paper, the stream function coordinate SFC Euler formulation for one-dimensional unsteady compressible flow with strong discontinuities has been developed. A conservative system of three equations has been formulated and solved numerically using Godunov's scheme in the computational plane. To illustrate the applicability of the method, a finite length shocktube flow problem has been successfully simulated. The calculated results show good agreement with the exact solution. The present SFC Euler formulation is more powerful than the SFC isentropic formulation and is able to locate exactly the positions and accurately predict the strengths of the shock wave and the contact discontinuity. In fact, only a single grid interval is needed to capture the contact discontinuity. Reflection of the shock wave and rarefaction wave from the tube ends and interaction between the reflected shock wave and the contact discontinuity are also accurately simulated.
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