Virtual element method for the Navier–Stokes equation coupled with the heat equation
Paola F. Antonietti, Giuseppe Vacca, Marco Verani
Abstract
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.
Topics & Concepts
DiscretizationMathematicsHeat equationFinite element methodMathematical analysisElement (criminal law)ViscosityNavier–Stokes equationsApplied mathematicsMechanicsPhysicsThermodynamicsCompressibilityLawPolitical scienceAdvanced Numerical Methods in Computational MathematicsAdvanced Mathematical Modeling in EngineeringNumerical methods in engineering