A directionally adaptive finite element method for hypersonic thermo-chemical nonequilibrium flows

  • D. Ait-Ali-Yahia
  • W. G. Habashi
Part of the Lecture Notes in Physics book series (LNP, volume 490)


A segregated, implicit FEM has been described for 2-D hypersonic thermo-chemical nonequilibrium flows on directionally-adapted structured grids. The flow solver is coupled with an adaptive procedure which is based on an edge-based error estimate and an improved mesh movement strategy with no orthogonality constraints. The segregated approach has the advantage of reducing reacting flow problems with a high number of species to a manageable level and offers the possibility of applying the most appropriate numerical scheme for each system of PDEs in order to achieve the best global convergence. The resulting code is first validated on hypersonic, partially-dissociated nitrogen flow where the shock position is correctly reproduced on a coarse mesh. The methodology is also tested for hypersonic air flows and their main features are well predicted on coarse grids. Future work will involve the study of the multi-temperature model and the introduction of the iterative GMRES solver.


Hypersonic Flow Vibrational Temperature Shock Position Translational Temperature Anisotropic Mesh 
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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • D. Ait-Ali-Yahia
    • 1
  • W. G. Habashi
    • 1
  1. 1.CFD Laboratory, Department of Mechanical EngineeringConcordia UniversityMontrealCanada

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