Direct Numerical Simulation of Boundary-Layer Receptivity for Subsonic Flow Around Airfoil
Direct numerical simulation is used to study leading edge receptivity to free-stream disturbance. The full compressible Navier-Stokes equations in generalized curvilinear coordinates are solved by LU-SGS implicit scheme, which requires no tridiagonal inversion and is capable of being completely vectorized and parallelized. A fourth-order centered compact scheme is used for spatial derivatives and second-order Euler Backward scheme is applied for temporal discretization. A sixth-order implicit filter is employed to reduce the numerical oscillation. The non-reflecting boundary conditions are imposed at the far-field and outflow boundaries to avoid possible non-physical wave reflection. The code is developed in a form of total flow and no base flow with perturbation assumption is needed. The code also does not need buffer or sponge domain for DNS. The leading-edge receptivities of the compressible boundary-layer over the flat plate and the Joukowsky airfoil to free-stream disturbances are simulated.
KeywordsDirect Numerical Simulation Instability Wave Outflow Boundary Linear Stability Theory Disturbance Velocity
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- 2.Lin, N., Reed, H. L., Saric, W. S. (1992) Effect of leading-edg geometry on boundary-layer receptivity to free-stream sound. In Instability, Transition, and Turbulence, edited by Hussaini, M., Kumar, A., Streett, C., Springer-Verlag, New York.Google Scholar
- 5.Collis, S. S., Lele, S. K. (1996) A computational approach to swept leading-edge receptivity. AIAA Paper, 96-0180 Google Scholar
- 9.Jiang, L., Shan, H, Liu, C., Visbal, M. R. (1999) Non-reflecting boundary condition in curvilinear coordinates, Second AFOSR International Conference on DNS/LES, Rutgers, New Jersey, June 7–9.Google Scholar
- 11.Zhong, X. L. (1997) Direct numerical simulation of Hypersonic boundary-layer transition over blunt leading edges, AIAA Paper, 97-0755 Google Scholar