标题:Solving 2D Poisson-type equations using meshless SPH method
作者:Liu, Shuai; Li, Jiao; Chen, Liang; Guan, Yanjin; Zhang, Cunsheng; Gao, Fuzheng; Lin, Jun
作者机构:[Liu, Shuai; Li, Jiao; Chen, Liang; Guan, Yanjin; Zhang, Cunsheng; Lin, Jun] Shandong Univ, Key Lab Liquid Solid Struct Evolut & Proc Mat, Minist Educ 更多
通讯作者:Lin, J
通讯作者地址:[Lin, J]Shandong Univ, Suzhou Inst, Suzhou 215123, Peoples R China.
来源:RESULTS IN PHYSICS
出版年:2019
卷:13
DOI:10.1016/j.rinp.2019.102260
关键词:Smoothed Particle Hydrodynamics; Poisson equation; Helmholtz; Kernel; function
摘要:In the present study, 2D Poisson-type equation is solved by a meshless Symmetric Smoothed Particle Hydrodynamics (SSPH) method. The influence of the kernel function, smoothing length and particle discretizations of problem domain on the solutions of Poisson-type equations is investigated. Compared with other kernel functions, the cubic B-spline kernel function shows good capacity to reproduce a complicated function value and its first and second derivatives, when the smoothing length is chosen as 1.1 times the particles' distance. Several types of Poisson equations are solved by SSPH method, and the numerical results exhibit a very good accuracy when comparing with the analytical solutions.
收录类别:SCOPUS;SCIE
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85063956446&doi=10.1016%2fj.rinp.2019.102260&partnerID=40&md5=a4118e656b57d8bbf679b7473e2e21f9
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