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Numerical Simulation of Shock-Disturbances Interaction in 2-D Compressible Flows Considering Real Gas Effects by Using WENO Method

Rahmani, Saman | 2017

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 50912 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Hejranfar, Kazem
  7. Abstract:
  8. In the present study, the shock-disturbances interaction in hypersonic inviscid flows considering real gas effects is numerically studied by using a high-order WENO scheme. To account for real gas effects, the equilibrium air model is utilized. The strong conservative form of the two-dimensional unsteady Euler equations in the generalized curvilinear coordinates is considered as the governing equations and a shock-capturing technique is applied. The resulting system of equations is discretized by using the fifth-order WENO finite-difference scheme in space and the explicit third-order TVD Runge-Kutta scheme in time to provide a high-order accurate flow solver. The WENO scheme is a stable scheme which can simulate the strong discontinuities in the solution domain without needing any numerical artifact. This feature makes the scheme suitable for the shock-disturbances interaction in hypersonic flows in which real gas effects are to be considered. Several test cases including the 1-D shock tube, the 1-D shock-entropy wave interaction, the interaction between a 1-D stationary shock with the fast and slow acoustic waves, the 2-D shock-vortex interaction and the 2-D shock-vorticity wave interaction are numerically simulated to demonstrate the accuracy and robustness of the WENO scheme and the present numerical results are compared with the available analytical and numerical studies. Then, the numerical simulation of the interaction of the incoming disturbances field with the bow shock formed around a circular cylinder at Mach 8.03 considering real gas effects is performed. The steady solution at first is obtained and then the incoming disturbances field is superposed to the upstream flow field. The unsteady simulation is performed for three incoming waves including the entropy wave and the fast and slow acoustic waves, with different wave numbers and the results obtained are compared with the available theoretical and numerical results and the effects of real gas on the flow field are discussed. Indications are that the solution procedure adopted here is suitable for simulating the shock-disturbances interaction with the strong discontinuities in the flow domain. The study also shows that the real gas has significant effects on both the mean and disturbance fields and thus the real gas should be considered for the flows with high velocities/temperatures
  9. Keywords:
  10. Real Gases ; Weighted Essentially Non-Oscillatory Schemes ; High-Speed Compressible Flow ; Shock Wave-Disturbances Interaction ; Real Gas Effects

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