INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, vol.17, no.1, pp.24-41, 2020 (SCI-Expanded)
Article / Article
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Blended BDF, long time stability, Navier-Stokes, natural convection, double-diffusive, FINITE-ELEMENT APPROXIMATION, IMPLICIT EULER SCHEME, NAVIER-STOKES PROBLEM, 2 PARTITIONED METHODS, CONVECTION
Middle East Technical University Affiliated:
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.