On the consistency and convergence of particle-based meshfree discretization schemes for the Laplace operator

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• 作者：Tasuku Tamai ; ^{tasuku@mps.q.t.u-tokyo.ac.jp} ; Kouhei Murotani ; Seiichi Koshizuka
• 关键词：Meshfree method ; Particle method ; Least Squares Moving Particle Semi-implicit method ; Convergence ; Consistency ; Laplacian
• 刊名：Computers & Fluids
• 出版年：2017
• 出版时间：5 January 2017
• 年：2017
• 卷：142
• 期：Complete
• 页码：79-85
• 全文大小：606 K
• 卷排序：142

文摘

The accuracy of the particle-based discretization schemes for the Laplacian is verified. Numerical test shows that some schemes are convergent and others are divergent. New scheme for the Laplacian is proposed to enhance accuracy and computational efficiency. An application of new discretization scheme for the Poisson equation is demonstrated.