Long Time Stability of a Linearly Extrapolated Blended BDF Scheme for Multiphysics Flows

Authors

  • Aytekin ÇIbik Department of Mathematics, Gazi University, 06550 Ankara, Turkey
  • Fatma G. Eroglu Department of Mathematics, Faculty of Science, Bartın University, 74110 Bartın, Turkey
  • Songul Kaya Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey

Keywords:

Blended BDF, long time stability, Navier-Stokes, natural convection, double-diffusive.

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.

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Published

2021-02-04

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Issue

Vol. 17 No. 1 (2020)

Section

Articles