Non-unique numerical solutions of transonic flows have been found, first for potential flow equation, and later for Euler and RANS equations. The studies conducted so far have been mostly limited to steady state flow simulations. It is believed that unsteady simulations are needed to gain a better understanding of the evolution and stability of these flows. This paper re-examined a set of four recently designed symmetric airfoils that have been found to support non-unique solutions in steady transonic flows in a narrow band of transonic Mach numbers. Unsteady RANS solutions have been performed for these four airfoils in the transonic regime. Results indicate that all four airfoils exhibit unsteady non-unique transonic solutions. The unsteady non-unique solutions occur over a wider band of transonic Mach numbers than the steady non-unique solutions.
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