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Descripción
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| In the context of discontinuous Galerkin spectral element methods (DGSEM), ?-estimation has been successfully used for p-adaptation algorithms. This method estimates the truncation error of representations with different polynomial orders using the solution on a reference mesh of relatively high order. In this paper, we present a novel anisotropic truncation error estimator derived from the ?-estimation procedure for the traditional DGSEM. We exploit the tensor product basis properties of the numerical solution to design a method where the total truncation error is calculated as a sum of its directional components. We show that the new error estimator is cheaper to evaluate than previous implementations of the ?-estimation procedure and that it obtains more accurate extrapolations of the truncation error for representations of a higher order than the reference mesh. The robustness of the method allows performing the p-adaptation strategy with coarser reference solutions, thus further reducing the computational cost. The proposed estimator is validated using the method of manufactured solutions in a test case for the compressible Navier?Stokes equations. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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Journal of Scientific Computing |
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ISSN
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0885-7474 |
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Factor de impacto JCR
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1,814 |
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Información de impacto
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Datos JCR del año 2017 |
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Volumen
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78 |
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DOI
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10.1007/s10915-018-0772-0 |
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Número de revista
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Desde la página
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433 |
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Hasta la página
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466 |
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Mes
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SIN MES |
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Ranking
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