Space-time LU-SGS implicit Fourier Time-spectral Method for Transonic Flows
Speaker: Feng Liu, University of California, Irvine
Abstract: Following a discussion on the advantages and limitations of the Fourier time-spectral method (TSM) for periodic unsteady flow problems, I will present an efficient space-time lower–upper symmetric Gauss–Seidel (ST-LU-SGS) implicit scheme with multigrid acceleration and its application to two- and three-dimensional flow problems. In this scheme, the implicit temporal coupling term is split as one additional dimension of space in the LU-SGS sweeps. Numerical results show that fast convergence is achieved using large or even infinite Courant–Friedrichs–Lewy (CFL) numbers for unsteady flow problems with moderately high frequency. The ST- LU-SGS implicit scheme is also found to work well in calculating periodic flow problems where the frequency is not known a priori and needed to be determined by using a combined Fourier analysis and gradient-based search algorithm.
Room Reservation Information
Room Number: 114 McAllister
Time: 12:20pm - 1:30pm