An adaptive central-upwind weighted essentially non-oscillatory scheme |
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Authors: | X.Y. Hu Q. Wang N.A. Adams |
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Affiliation: | 1. Lehrstuhl für Aerodynamik, Technische Universität München, 85748 Garching, Germany;2. Chinese Academy of Aerospace Aerodynamics, 100074 Beijing, China |
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Abstract: | In this work, an adaptive central-upwind 6th-order weighted essentially non-oscillatory (WENO) scheme is developed. The scheme adapts between central and upwind schemes smoothly by a new weighting relation based on blending the smoothness indicators of the optimal higher order stencil and the lower order upwind stencils. The scheme achieves 6th-order accuracy in smooth regions of the solution by introducing a new reference smoothness indicator. A number of numerical examples suggest that the present scheme, while preserving the good shock-capturing properties of the classical WENO schemes, achieves very small numerical dissipation. |
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Keywords: | Numerical method Compressible flow High-order scheme |
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