Numerical Analysis for Time-evolution Problem Using of Mesh-free Method Fused Computer Graphics

2011 Fiscal Year Final Research Report

• Project/Area Number: 21700122
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Media informatics/Database
• Research Institution: Ritsumeikan University
• Principal Investigator: HASEGAWA Kyoko 立命館大学, 衣笠総合研究機構, ポストドクトラルフェロー (00388109)
• Project Period (FY): 2009 – 2011
• Keywords: グラフィックス

Research Abstract

The purpose of our study is to solve the three-dimensional(3D) structural analysis problem using the meshfree method based on the surface model. We have applied modified Radial Point Interpolation Method(RPIM) to three-dimensional heat transfer problems. Furthermore, in order to improve the accuracy of numerical solution, we propose the method of posteriori error estimate same as that of the finite element method and to develop the adaptive technique for modified RPIM. For visualizing of the numerical result and surface model, we can simultaneously render the numerical result and surface model by creating the volume date sets from these functions.

Research Products

• [Journal Article] Meshfree Elastodynamic Analysis of Three-dimensional Solids Using Radial Point Interpolation Method (2011)
  • Author(s): Kyoko Hasegawa, Susumu Nakata, Satoshi Tanaka
  • Journal Title: International Journal of Modeling, Simulation, and Scientific Computing Volume: 2(1) Pages: 83-95
  • Peer Reviewed
• [Journal Article] Data Fitting Independent of Grid Structure Using a Volumic Version of MPU (2011)
  • Author(s): Yuusuke Tsukamoto, Shuhei Kawashima, Seiji Inoue, Shin Ito, Shinji Kataoka, Kazuyuki Kojima, Kyoko Hasegawa, Susumu Nakata, Satoshi Tanaka
  • Journal Title: Journal of Visualization Volume: 14(2) Pages: 161-170
  • Peer Reviewed
• [Journal Article] Grid-Independent Metropolis Sampling for Volume Visualization (2010)
  • Author(s): Satoshi Tanaka, Kyoko Hasegawa, Susumu Nakata, Hideo Nakajima, Takuya Hatta, Frederika Rambu Ngana, Takuma Kawamura, Naohisa Sakamoto, Koji Koyamada
  • Journal Title: International Journal of Modeling, Simulation, and Scientific Computing Volume: 1(2) Pages: 119-218
  • Peer Reviewed
• [Presentation] Volume-Surface Fused Visualization Applied to Medical Data Based on Particle-Based Rendering (2011)
  • Author(s): Kyoko Hasegawa
  • Organizer: Asia Simulation Conference 2011
  • Place of Presentation: ソウル(韓国)
  • Year and Date: 2011-11-17
• [Presentation] 3D fused visualization based on the particle-based volume/surface rendering (2011)
  • Author(s): Kyoko Hasegawa
  • Organizer: 30th JSST Annual Conference(JSST 2011)
  • Place of Presentation: 東海大学(東京都)
  • Year and Date: 2011-10-22
• [Presentation] CTデータを基にした肝臓のメッシュフリー構造解析 (2010)
  • Author(s): 長谷川恭子
  • Organizer: 電子情報通信学会2010年総合大会
  • Place of Presentation: 東北大学(宮城県)
  • Year and Date: 2010-03-16
• [Presentation] Heat Transfer Analysis Using Modified Radial Point Interpolation Method (2009)
  • Author(s): Kyoko Hasegawa
  • Organizer: Asia Simulation Conference 2009 JSST2009
  • Place of Presentation: 立命館大学(滋賀県)
  • Year and Date: 2009-10-08
• [Presentation] 修正RPIMのための適応的手法の開発 (2009)
  • Author(s): 長谷川恭子
  • Organizer: 第14回計算工学講演会
  • Place of Presentation: 東京大学生産技術研究所(東京都)
  • Year and Date: 2009-05-14