“…Nonetheless, they are useful even for more specific cases, e.g. in simulations considering equivalent heat source concepts coupling a stationary fluid flow simulation with a transient heat conduction model in autogenous laser beam welding [30, 31], or for the elucidation of the relationship between flow phenomena in the weld pool, the resulting weld geometry and the final mechanical resistance of the weld [32, 33]. Similar simplified models are in the same way well suited if one is interested in evaluating the resulting pressure differences in the weld bead during the application of electromagnetic fields as an inductive weld support system for a given magnetic flux density applied or to limit the parameter window for such application.…”