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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
Metadata
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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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BibTeX
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.