Korobenko, ArtemJohansen, CraigCodoni, David2023-11-282023-11-282023-11-27Codoni, D. (2023). Development of an SUPG based numerical framework for the analysis of non-ionized hypersonic flows in thermochemical non-equilibrium (Doctoral thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.https://hdl.handle.net/1880/117597https://doi.org/10.11575/PRISM/42440The present work focuses on the development of a numerical framework for the aerothermodynamic analysis in the hypersonic regime. In this work the Navier-Stokes equations for the compressible flows in thermochemical non-equilibrium are solved in the set of pressure-based primitive variables, using the Streamline-Upwind Petrov-Galerkin (SUPG) based stabilized formulation for the Finite Element Method (FEM) enhanced with a discontinuity-capturing operator. The first part of the project focuses on the validation of the fluid dynamic framework for compressible flows in high-speed regimes without considering real gas effects. In this part, the fluid is assumed ideal, non-reacting, and in thermal equilibrium. The numerical framework is validated against benchmark cases with increasing complexity, namely the flat plate, the compression corner, the two-dimensional cylinder and the three-dimensional atmospheric re-entry capsule. The results obtained gave the confidence that the SUPG stabilized formulation enhanced with a discontinuity-capturing term constitutes a valid approach to studying high-speed flows. The second part of the project involves the development and implementation of real gas effects at the hypersonic regime. The developed numerical framework is able to predict 5-species nonionized flows in thermochemical non-equilibrium. The numerical framework for reacting flows in thermal non-equilibrium is verified and validated against benchmark cases, such as the zero-dimensional nitrogen reactor, two-dimensional cylinder, and the three-dimensional hollow flare and double cone. Based on the good agreement of the results obtained with the available data in the literature, it is safe to state that the methodology presented in this work proved to be a valid alternative to analyse the non-ionized hypersonic flows in thermochemical non-equilibrium. The pressure-based primitive variables numerical framework presented in this work, set the first step towards the development of a Fluid-Thermal-Structure Interaction (FTSI) framework for the analysis of aerothermoelastic problems in the hypersonic regime.enUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.compressible flowFinite Element MethodComputational Fluid Dynamicshypersonic flowstabilized Finite Element MethodEngineering--Mechanicaldoctoral thesis