An Adaptive Time Filtered Backward Euler Method for Reduced-Order Models of Incompressible Flows

Authors : Fatma Güler Eroğlu

Pages : 1658-1673

Doi:10.35378/gujs.904961

View : 204 | Download : 320

Publication Date : 2023-12-01

Article Type : Research Paper

Abstract :This paper studies a reduced-order model based on proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The difficulties resulting from nonlinearity are eliminated using the variational multiscale (VMS) method. The time filter is added as a separate post-processing step to the standard VMS-POD approximation. This increases the accuracy and presents a better energy preserving scheme without adding additional computational complexity. The stability and error analyses of the method are provided, and results of the several numerical tests are presented to verify the efficiency of the method in this setting.
Keywords : Proper orthogonal decomposition, Time filter, Reduced order models, Projection based variational multiscale