Comparisons of p-adaptation strategies based on truncation- and discretisation-errors for high order discontinuous Galerkin methods

Results include an inviscid NACA0012 and a viscous flat plate boundary layer. Output functionals (e.g., lift, drag) resulting from adapted meshes are compared in terms of the number of degrees of freedom, providing a critical assessment of the performance of each sensor. Namely, it is shown that both truncation error adaptation methodologies provide meshes with polynomial order distributions that lead to fewer degrees of freedom than when using the discretisation error based adaptation. In addition, the examples illustrate the outperforming advantage of anisotropic over isotropic adaptation.