Year: 2020
Author: Aytekin ÇIbik, Fatma G. Eroglu, Songul Kaya
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 1 : pp. 24–41
Abstract
This paper investigates the long time stability behavior of multiphysics flow problems, namely the Navier-Stokes equations, natural convection and double-diffusive convection equations with an extrapolated blended BDF time-stepping scheme. This scheme combines the two-step BDF and three-step BDF time stepping schemes. We prove unconditional long time stability theorems for each of these flow systems. Various numerical tests are given for large time step sizes in long time intervals in order to support theoretical results.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-13638
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 1 : pp. 24–41
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Blended BDF long time stability Navier-Stokes natural convection double-diffusive.