We consider the virtual element discretization of the Navier-Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We present the virtual element discretization of the coupled problem, show its well-posedness and prove optimal error estimates. Numerical experiments that confirm the theoretical error bounds are also presented.
Virtual element method for the Navier-Stokes equation coupled with the heat equation
Antonietti, PF;Verani, M
2023-01-01
Abstract
We consider the virtual element discretization of the Navier-Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We present the virtual element discretization of the coupled problem, show its well-posedness and prove optimal error estimates. Numerical experiments that confirm the theoretical error bounds are also presented.File in questo prodotto:
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