Journal
CALCOLO
Volume 55, Issue 4, Pages -Publisher
SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s10092-018-0285-0
Keywords
Boussinesq; Buoyancy; Navier-Stokes equations; Heat equation; Finite element method; A priori error estimates
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In this article, we study the time dependent Boussinesq (buoyancy) model with nonlinear viscosity depending on the temperature. We propose and analyze first and second order numerical schemes based on finite element methods. An optimal a priori error estimate is then derived for each numerical scheme. Numerical experiments are presented that confirm the theoretical accuracy of the discretization.
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