We present the current status of a General Galerkin finite element method (G2) applied to computational aeroacoustics (CAA). In G2, no explicit subgrid model is used, and, instead, the computational mesh is adaptively refined with respect to an a posteriori error estimate of a quantity of interest. In this paper, we introduce a new refinement strategy based on Lighthill's acoustic analogy, which we believe is more suitable for CAA. Computational results suggest that the mesh obtained with the new strategy better captures turbulent flow sound generation throughout the domain.
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