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- W2312295181 abstract "In the present work we develop a general framework for the application of spectral reprojection methods to the Discontinuous Galerkin discretization of the compressible NavierStokes equations over two-dimensional unstructured domains, aimed at suppressing the Gibbs phenomenon around shocks and other points of discontinuity. Robust reprojection of the modal expansion is carried out locally at each element over the entire discretization. To do so, we extend the Freud polynomial expansion to planar triangular domains by means of orthogonal tensor products over collapsed coordinates. Reprojection techniques are known to yield poor results when the approximated function is not analytic in the interval of application. With this issue in mind, we perform shock tracking using nonlinearly-enhanced spectral edge detection, and utilize the resulting points of discontinuity to define subdomains of analyticity within elements. The effectiveness and versatility of our technique is demonstrated through well-known numerical test cases." @default.
- W2312295181 created "2016-06-24" @default.
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- W2312295181 date "2010-06-28" @default.
- W2312295181 modified "2023-09-26" @default.
- W2312295181 title "Application of a Robust Spectral Reprojection Method to Discontinuous Galerkin Simulations of Supersonic Flows" @default.
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- W2312295181 doi "https://doi.org/10.2514/6.2010-5095" @default.
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