AuthorsM. G. Larson and F. Bengzon
EditorsJ. Li, H. Yang and E. Machorro
TitleComponent Mode Synthesis for Laminar Viscous Incompressible Fluid Flow
AfilliationScientific Computing, , Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeProceedings, refereed
Year of Publication2013
Conference NameRecent Advances in Scientific Computing and Applications
Volume586
Pagination207-217
PublisherAmer. Math. Soc.
Abstract

In this paper we develop a Component Modal Synthesis (CMS) model reduction technique for incompressible fluid flow. We extend the traditional CMS method, developed primarily for linear elasticity, by constructing a divergence free orthogonal modal basis for the fluid velocity. This allows elimination of the fluid pressure from the equations. For the reduced solution we derive a discrete a posteriori error estimate. The performance of our CMS method and a posteriori error estimate is illustrated in numerical experiments.

DOI10.1090/conm/586/11641
Citation KeySimula.simula.2472