Adaptive least-squares finite element approximations to transonic-flow problems |
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| Authors: | Shin-Perng Chang Tsu-Fen Chen |
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| Institution: | 1. Department of information management, Toko University, Puzih, Chiayi, Taiwan;2. Department of mathematics, National Chung Cheng University, Minghsiung, Chiayi, Taiwan |
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| Abstract: | This work concerns solutions of compressible potential flow problems based on weighted least-squares finite element approximations. The model problem considered is that of the potential flow past a circular cylinder. To capture the transonic flow region, an adaptive algorithm based on mesh redistribution with local mesh refinement and smoothing is developed for suitably weighted least-squares approximations. Numerical results for the model problem are given for the transonic case with shocks. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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