An Implicit Non-Linear Frequency Domain-Spectral Difference Scheme For Periodic Euler Flow

摘要

This paper combines a non-linear frequency domain scheme with a high-order spectral difference discretization for the 2D unsteady Euler equations. An implicit LU-SGS method is introduced to solve the NLFD equations. High-order accuracy and solution acceleration due to the implicit treatment are numerically verified on a steady subsonic airfoil test case. Finally, the performance of this implicit high-order scheme for periodic flows is evaluated on a pitching airfoil problem.