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In this work, we develop a posteriori error control for a generalizedBoussinesq model in which thermal conductivity and viscosity aretemperature-dependent. Therein, the stationary Navier-Stokes equations arecoupled with a stationary heat equation. The coupled problem is modeled andsolved in a monolithic fashion. The focus is on multigoal-oriented errorestimation with the dual-weighted residual method in which an adjoint problemis utilized to obtain sensitivity measures with respect to several goalfunctionals. The error localization is achieved with the help of apartition-of-unity in a weak formulation, which is specifically convenient forcoupled problems as we have at hand. The error indicators are used to employadaptive algorithms, which are substantiated with several numerical tests suchas one benchmark and two further experiments that are motivated from lasermaterial processing. Therein, error reductions and effectivity indices areconsulted to establish the robustness and efficiency of our framework.

Multigoal-oriented a posteriori error control for heated material processing using a generalized Boussinesq model