TY - JOUR
T1 - Long Time Stability of a Linearly Extrapolated Blended BDF Scheme for Multiphysics Flows
AU - ÇIbik , Aytekin
AU - Eroglu , Fatma G.
AU - Kaya , Songul
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 24
EP - 41
PY - 2020
DA - 2020/02
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/13638.html
KW - Blended BDF, long time stability, Navier-Stokes, natural convection, double-diffusive.
AB - <p style="text-align: justify;">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.</p>