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- ItemNumerical simulation of high-frequency induction welding in longitudinal welded tubes(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2019) Asperheim, John Inge; Das, Prerana; Grande, Bjørnar; Hömberg, Dietmar; Petzold, ThomasIn the present paper the high-frequency induction (HFI) welding process is studied numerically. The mathematical model comprises a harmonic vector potential formulation of the Maxwell equations and a quasi-static, convection dominated heat equation coupled through the joule heat term and nonlinear constitutive relations. Its main novelties are twofold: A new analytic approach permits to compute a spatially varying feed velocity depending on the angle of the Vee-opening and additional spring-back effects. Moreover, a numerical stabilization approach for the finite element discretization allows to consider realistic weld-line speeds and thus a fairly comprehensive three-dimensional simulation of the tube welding process.