The virtual element method for the 3D resistive magnetohydrodynamic model
L. Beirão da Veiga, Franco Dassi, Gianmarci Manzini, Lorenzo Mascotto
Abstract
We present a four-field virtual element discretization for the time-dependent resistive magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete formulation. The proposed method employs general polyhedral meshes and guarantees velocity and magnetic fields that are divergence free up to machine precision. We provide a full convergence analysis under suitable regularity assumptions, which is validated by some numerical tests.
Topics & Concepts
Magnetohydrodynamic driveDiscretizationResistive touchscreenPolygon meshMagnetohydrodynamicsConvergence (economics)Divergence (linguistics)Finite element methodComputer scienceMagnetic fieldVirtual spaceApplied mathematicsSpace (punctuation)Mathematical analysisMathematicsPhysicsComputer graphics (images)Artificial intelligenceOperating systemLinguisticsPhilosophyQuantum mechanicsEconomic growthThermodynamicsEconomicsComputer visionAdvanced Numerical Methods in Computational MathematicsElectromagnetic Simulation and Numerical MethodsComputational Fluid Dynamics and Aerodynamics