Realtime Integration Schemes for Continuum Mechanics Simulation Allowing Nonsmoothness and Extreme Deformations

2015 Fiscal Year Final Research Report

• Project/Area Number: 25540044
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: High performance computing
• Research Institution: Kyushu University
• Principal Investigator: Kikuuwe Ryo 九州大学, 工学(系)研究科(研究院), 准教授 (90362326)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 実時間シミュレーション / コンピュータグラフィックス / 非線形連立微分包含式 / 数値積分

Outline of Final Research Achievements

Mechanical systems involving friction and contact are represented by differential equations involving discontinuities, which are referred to as differential inclusions. They are mathematically elegant but are cumbersome in numerical simulations. Moreover, if the system also involves deformable continua and if the simulation needs to run in realtime, one must solve a huge system of nonlinear equations every timestep, which is typically about 0.001 to 0.03s. Computational techniques needed for such applications should assure the stability rather than quantitative accuracy or physical faithfulness. Such requirements are different from those for conventional applications of simulation software such as those for offline numerical analysis. In this research project, we have developed various elemental computational techniques and mathematical tools to deal with mechanical systems involving continua and discontinuities for realtime simulation.

Free Research Field

制御工学