A high-order SPH method by introducing inverse kernels  

作　　者：Fang Le Marongiu Jean Christophe Leduc Julien Amicarelli Andrea Caro Joёlleb 

机构地区：[1]LMP, Ecole centrale de Pekin, Beihang University, Co-Innovation Center for Advanced Aero-Engine, 100083 Beijing, China [2]LMFA, Ecole centrale de Lyon, 69130, Ecully BP 163, France [3]Laboratoire International Associe, Beihang University, 100083 Beijing, China [4]ANDRITZ HYDRO AG, Rue des Deux-Gares 6, 1800 Vevey, Switzerland

出　　处：《Chinese Journal of Aeronautics》2017年第1期1-14,共14页中国航空学报（英文版）

基　　金：funding from the European Community’s Seventh Framework Program (FP7/2007-2013) under grant agreement 225967 ‘‘Next Mu SE”;supported by the National Natural Science Foundation of China (Nos. 11202013, 11572025 and 51420105008)

摘　　要：The smoothed particle hydrodynamics（SPH） method is usually expected to be an efficient 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 introducing 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 understand this method. Finally we show three test examples to verify the method behavior.The smoothed particle hydrodynamics（SPH） method is usually expected to be an efficient 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 introducing 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 understand this method. Finally we show three test examples to verify the method behavior.

关 键 词：CONSISTENCY High-order method Inverse method Numerical dissipation Numerical instability Smoothed particle hydrodynamics 

分 类 号：O35[理学—流体力学] TH45[理学—力学]