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

Date

2020-01-01

Author

Cibik, Aytekin
Eroglu, Fatma G.
Kaya Merdan, Songül

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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.

Subject Keywords

Blended BDF, Long time stability, Navier-stokes, Natural convection, Double-diffusive

URI

https://hdl.handle.net/11511/54876

Journal

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING

Collections

Department of Mathematics, Article

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Citation Formats

A. Cibik, F. G. Eroglu, and S. Kaya Merdan, “LONG TIME STABILITY OF A LINEARLY EXTRAPOLATED BLENDED BDF SCHEME FOR MULTIPHYSICS FLOWS,” INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, pp. 24–41, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54876.