The dynamic instability at transonic speeds is one of the big problems for development of re-entry vehicles. We need an accurate CFD tool that can predict the dynamic stability. To validate the CFD, damping coefficients are computed in a force oscillation manner and then compared with those by free rotation experiments. The three turbulence models are used: URANS with SA model, SA-DES, and SA-IDDES. Numerical simulations are carried out at M=0.4 and 1.1 where large limit cycle oscillations (LCO) were observed in the wind tunnel test For the both Mach numbers, the results of the SA-DES and the SA-IDDES show better agreement with those by the experiments than those of the URANS. The characteristics of LCO are simulated well by CFD.
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