Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows

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Anisotropic mesh refinement for discontinuous Galerkin methods in two‐dimensional aerodynamic flow simulations (2008, background): “Venditti and Darmofal [12] have combined the directional information of the metric approach with a scaling based on adjoint-based error indicators, resulting in the so-called weighted metrics.”
Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics (2011, methodology): “While in pure Hessian-based adaptation a global value for C is used, the output-based method of Venditti and Darmofal sets C locally according to the output-error indicator [39].”
An implicit, exact dual adjoint solution method for turbulent flows on unstructured grids (2004, methodology): “The test cases examined in [27,28], and [30–32] clearly demonstrate the potential of using such an approach to grid adaptation.”
Adjoint and defect error bounding and correction for functional estimates (2003, methodology): “A discrete version of the present adjoint error estimation approach has been employed successfully on unstructured meshes to drive adaptive meshing algorithms for Euler [12] and Reynolds-averaged Navier–Stokes calculations [13,14].”