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Numerical results and stability analysis for the computation of the transonic flow problems using an artificial time formulation. (English) Zbl 0844.76052

Summary: A numerical method for the computation of the entropic solution for transonic flow is developed. Within the use of the pseudo-time-formulation, stability for \(\Delta t \to 0_+\) is provided. Finite element implementation of the artificial compressibility method and time-dependent treatment of the Kutta-Joukowski condition are included. Test examples of the flow around NACA 0012 and RAE 2822 airfoils for supercritical flows are presented.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76H05 Transonic flows
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