A Novel Meshfree Analysis of Transient Heat Conduction Problems Using RRKPM  

作　　者：Hongfen Gao Gaofeng Wei 

机构地区：[1]College of Intelligent Engineering,Shandong Management University,Jinan,250357,China [2]School of Mechanical and Automotive Engineering,Qilu University of Technology(Shandong Academy of Sciences),Jinan,250353,China [3]Shandong Institute of Mechanical Design and Research,Jinan,250353,China

出　　处：《Computer Modeling in Engineering & Sciences》2022年第6期1793-1814,共22页工程与科学中的计算机建模（英文）

基　　金：supported by the Natural Science Foundation of Shandong Province(Grant No.ZR2017MA028);supported by the Natural Science Foundation of Shandong Province(Grant No.ZR2020MA059).

摘　　要：By introducing the radial basis functions(RBFs)into the reproducing kernel particle method(RKPM),the calculating accuracy and stability of the RKPM can be improved,and a novel meshfree method of the radial basis RKPM(meshfree RRKPM)is proposed.Meanwhile,the meshfree RRKPM is applied to transient heat conduction problems(THCP),and the corresponding equations of the meshfree RRKPM for the THCP are derived.The twopoint time difference scheme is selected to discretize the time of the THCP.Finally,the numerical results illustrate the effectiveness of the meshfree RRKPM for the THCP.

关 键 词：Transient heat conduction meshfree method reproducing kernel particle method meshfree RRKPM two-point difference method 

分 类 号：O17[理学—数学]