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
Vacca, Giuseppe
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2022-01-01
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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