Adaptive finite element simulations of laser‐heated material flow using a Boussinesq model

Abstract

AbstractIn this contribution, we apply adaptive finite elements to the Boussinesq model. Adaptivity is achived with goal‐oriented error control and local mesh refinement. The principle goal is motivated from laser material processing and laser waveguide writing in which material starts to flow due to laser‐induced heat generation. Flow of the material is decribed by the Boussinseq equations. Our model is substantiated with some numerical tests in order to show the capacities of our adaptive numerical schemes.