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Non-unique Numerical Solutions and Their Stability of the Euler Equations for Transonic Flow over Airfoils
21st AIAA Computational Fluid Dynamics Conference
Multiple numerical solutions of inviscid transonic flow over several airfoils exist at certain Mach number and angle of attack. Global linear stability analysis of the multiple solutions is conducted in this paper. Linear perturbation equations of the Euler equations around a steady-state solution are formed, an eigenvalue problem is then constructed using the modal analysis approach, then it is discretized using a numerical scheme that is similar to the JST scheme for the Euler equations. Onlydoi:10.2514/6.2013-2965 fatcat:may2tw3zmfeebgcdq27irh4f6i