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A high-order SPH method by introducing inverse kernels |
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| Authors: | Fang Le Marongiu Jean Christophe Leduc Julien Amicarelli Andrea Caro Jo?lle |
| Institution: | 1. LMP, Ecole centrale de Pékin, Beihang University, Co-Innovation Center for Advanced Aero-Engine, 100083 Beijing, China;LMFA, Ecole centrale de Lyon, 69130, Ecully BP 163, France;Laboratoire International Associé, Beihang University, 100083 Beijing, China;2. ANDRITZ HYDRO AG, Rue des Deux-Gares 6, 1800 Vevey, Switzerland;3. LMFA, Ecole centrale de Lyon, 69130, Ecully BP 163, France;ANDRITZ HYDRO AG, Rue des Deux-Gares 6, 1800 Vevey, Switzerland;4. LMFA, Ecole centrale de Lyon, 69130, Ecully BP 163, France |
| Abstract: | The smoothed particle hydrodynamics (SPH) method is usually expected to be an effi-cient numerical tool for calculating the fluid-structure interactions in compressors; however, an endogenetic restriction is the problem of low-order consistency. A high-order SPH method by intro-ducing inverse kernels, which is quite easy to be implemented but efficient, is proposed for solving this restriction. The basic inverse method and the special treatment near boundary are introduced with also the discussion of the combination of the Least-Square (LS) and Moving-Least-Square (MLS) methods. Then detailed analysis in spectral space is presented for people to better under-stand this method. Finally we show three test examples to verify the method behavior. |
| Keywords: | Consistency High-order method Inverse method Numerical dissipation Numerical instability Smoothed particle hydrodynamics |
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