Improvement of Extended Boundary-Node Method for Large-Scale Simulation

2016 Fiscal Year Final Research Report

• Project/Area Number: 25870630
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: High performance computing; Foundations of mathematics/Applied mathematics
• Research Institution: Yamagata University (2015-2016); University of Hyogo (2013-2014)
• Principal Investigator: Saitoh Ayumu 山形大学, 大学院理工学研究科, 准教授 (20400533)
• Project Period (FY): 2013-04-01 – 2017-03-31
• Keywords: メッシュレス法 / 数値解法 / 境界節点法 / 境界要素法

Outline of Final Research Achievements

Recently, a simulation with about 100000 degree of freedom has become able to calculate by using a PC. Therefore, a high-performance numerical calculation method is desired. In this study, we focus on the boundary-type meshless method especially. From the viewpoint of speed, we improve the extended boundary node method (X-BNM), and aim to apply it to a large-scale simulation.
Numerical results have showed that the X-BNM with the H-matrix method can be computed at a very high speed by comparing with the standard X-BNM. As a result, it found that the X-BNM can also be a powerful tool for large scale simulation.

Free Research Field

数値解析