Lyapunov spectrum of the separated flow around the NACA 0012 airfoil and its dependence on numerical discretization. (English) Zbl 1380.76014
Summary: We investigate the impact of numerical discretization on the Lyapunov spectrum of separated flow simulations. The two-dimensional chaotic flow around the NACA 0012 airfoil at a low Reynolds number and large angle of attack is considered to that end. Time, space and accuracy-order refinement studies are performed to examine each of these effects separately. Numerical results show that the time discretization has a small impact on the dynamics of the system, whereas the spatial discretization can dramatically change them. Also, the finite-time Lyapunov exponents associated to unstable modes are shown to be positively skewed, and quasi-homoclinic tangencies are observed in the attractor of the system. The implications of these results on flow physics and sensitivity analysis of chaotic flows are discussed.
MSC:
| 76F20 | Dynamical systems approach to turbulence |
| 37N10 | Dynamical systems in fluid mechanics, oceanography and meteorology |
| 65P30 | Numerical bifurcation problems |
Keywords:
computational fluid dynamics; flow instability; Lyapunov stability analysis; nonlinear dynamics and chaos; sensitivity analysis; separated flows; turbulenceReferences:
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