Author(s)

Weiwei Zhang^*, Yilang Liu, Jing Li

College of Aeronautics, Northwestern Polytechnical University, Xi’an, China.

A simple strategy for capturing unstable steady solution is proposed in this paper. By enlarging the real time step, the unstable high frequency modes of the unsteady flow can be effectively suppressed because of the damping action on the real time level. The steady component will not be changed during real time marching. When the unsteady flow solution converges to a steady state, the partial derivatives of real time in unsteady governing equations will disappear automatically. The steady solution is the exacted unstable steady solution. The method is validated by the laminar flow past a circular cylinder and a transonic buffet of NACA0012 airfoil. This approach can acquire high-precision unstable steady solutions quickly and effectively without reducing the spatial discretization accuracy. This work provides the basis for unstable flow modeling and analysis.

Unstable Steady Solution, Real Time Step, Modeling, Unsteady Flows

Zhang, W. , Liu, Y. and Li, J. (2015) A Simple Strategy for Capturing the Unstable Steady Solution of an Unsteady Flow. Open Journal of Fluid Dynamics, 5, 188-198. doi: 10.4236/ojfd.2015.52021.