LONG TIME STABILITY OF A LINEARLY EXTRAPOLATED BLENDED BDF SCHEME FOR MULTIPHYSICS FLOWS


Cibik A., Eroglu F. G. , Kaya S.

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, cilt.17, ss.24-41, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 17 Konu: 1
  • Basım Tarihi: 2020
  • Dergi Adı: INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
  • Sayfa Sayıları: ss.24-41

Özet

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.