Space-time LU-SGS implicit Fourier Time-spectral Method for Transonic Flows

Computational and Applied Mathematics Colloquium

Meeting Details

For more information about this meeting, contact Kristin Berrigan, John Harlim, Jinchao Xu.

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

Date: 02/17/2020

Time: 12:20pm - 1:30pm