A Direct Design Method Based on the 3-Dimensional Euler Equations with Application in Internal Subsonic and Supersonic Flows<br/>

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A Direct Design Method Based on the 3-Dimensional Euler Equations with Application in Internal Subsonic and Supersonic Flows

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 39970 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Taeibi-Rahni, Mohammad; Ghadak, Farhad
Abstract:
In this work, a direct design approach for designing a surface shape (inverse design problem) has been developed in which both the target surface pressure and the unknown nodal coordinates appear explicitly in the formulations. The final discretized form of the governing equations (unified formulation) can be used for both analysis and shape design problems. Shape design problems in the context of the steady inviscid and compressible flow, based on the three-dimensional Euler equations, were directly solved to achieve a prescribed pressure along the solid boundaries. The AUSM+ scheme was used to discretize the flux terms in the Euler equations, in which the inviscid flux is splitted into convective and pressure components. We also validated our approach for robustness, especially in the cases where there are shock waves present in the flow. Here, two different models for the design of three-dimensional ducts were used, both of which worked well
Keywords:
Inverse Design ; Euler Equation ; Advection Upwind Splitting Method (AUSM) ; Direct Design

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