A Caltech Library Service

Multirate time-stepping least squares shadowing method

Bae, H. J. and Moin, P. (2014) Multirate time-stepping least squares shadowing method. Annual Research Briefs . pp. 69-76.

[img] PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


The recently developed least squares shadowing (LSS) method reformulates unsteady turbulent flow simulations to be well-conditioned time-domain boundary-value problems. We see from Wang et al. (2013) that the reformulation from LSS can enable scalable parallel in-time simulation of turbulent flows. It utilizes the large number of processors in high-performance machines in order to find a trajectory that satisfies the given governing equation effectively by relaxing the initial condition. This method can speed up the wall clock time of finding the solution by effectively parallelizing in the temporal domain as well as the spatial domain. However, the traditional LSS method was limited by the smallest time-step of the entire domain, and thus required solving of extremely large block tri-diagonal systems.

Item Type:Article
Bae, H. J.0000-0001-6789-6209
Moin, P.0000-0002-0491-7065
Additional Information:© 2014 Stanford University. The authors are grateful for the very valuable discussions on the subject with Q. Wang and M. Minion. Support from Stanford Graduate Fellowship is gratefully acknowledged.
Funding AgencyGrant Number
Stanford UniversityUNSPECIFIED
Record Number:CaltechAUTHORS:20210322-151621646
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108519
Deposited By: Tony Diaz
Deposited On:24 Mar 2021 19:48
Last Modified:24 Mar 2021 19:48

Repository Staff Only: item control page