CAREER: Theory and Practice of Space-Time Variational Integrators for Simulation and Animation
职业:用于仿真和动画的时空变分积分器的理论与实践
基本信息
- 批准号:0953096
- 负责人:
- 金额:$ 52.13万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2010
- 资助国家:美国
- 起止时间:2010-07-01 至 2016-06-30
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
The primary goal of this research project is to develop novel numerical simulation methods offering a wide range of applications, ranging from the simulation of smoke and fire interacting with moving objects, to the evolution of virus surfaces immersed in fluids. The approach leverages geometric understanding of the continuous equations of motion developed over the past century, which frames momentum and energy preservation as consequences of basic symmetries and invariance. However, current numerical techniques for simulation rarely capture the geometric principles that have been shown in mathematics and physics to be fundamental to proper dynamical behavior. To develop simulation algorithms that numerically respect both temporal and spatial structures of complex systems, a major part of this research requires the development of a novel framework to combine Lagrangian and Eulerian methods, two common (but rarely combined) representations of motion. Key applications include thin-shell simulation, collision handling, and fluid-structure interaction. The educational efforts leverage the appeal that graphical simulation demos have to students. The main objective of the educational activities is to motivate students, including underrepresented groups and K-12 students, to train not just in computer science, but also in physics, mathematics, and mechanical engineering to face the increasingly interdisciplinary nature of science.The resulting computational tools and practical applications (including, e.g., deformation model in biometrics, protein folding and docking, and groundwater simulation) will be disseminated through publications in journals and conferences. Project results can be found at the project website (http://www.cse.msu.edu/~ytong/SpaceTimeIntegrator.html).
该研究项目的主要目标是开发新的数值模拟方法,提供广泛的应用,从模拟烟和火与移动物体的相互作用,到浸入流体中的病毒表面的演变。这种方法利用了对过去世纪发展起来的连续运动方程的几何理解,它将动量和能量守恒框定为基本对称性和不变性的结果。然而,目前的数值模拟技术很少捕捉几何原理,已被证明是在数学和物理学的基本适当的动力学行为。为了开发模拟算法,数值上尊重复杂系统的时间和空间结构,本研究的一个主要部分需要开发一个新的框架,结合联合收割机拉格朗日和欧拉方法,两个常见的(但很少结合)的运动表示。主要应用包括薄壳模拟、碰撞处理和流体-结构相互作用。教育方面的努力充分利用了图形模拟演示对学生的吸引力。教育活动的主要目标是激励学生,包括代表性不足的群体和K-12学生,不仅在计算机科学方面接受培训,而且在物理学,数学和机械工程方面接受培训,以面对科学日益跨学科的性质。生物统计学中的变形模型、蛋白质折叠和对接以及地下水模拟)将通过期刊和会议上的出版物传播。项目成果可在项目网站(http://www.cse.msu.edu/SpaceTimeIntegrator.html)上查阅。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Yiying Tong其他文献
Implicit Laplacian of Enhanced Edge (ILEE): An unguided algorithm for accurate and automated quantitative analysis of cytoskeletal images
增强边缘隐式拉普拉斯算子 (ILEE):一种用于对细胞骨架图像进行准确和自动定量分析的无引导算法
- DOI:
- 发表时间:
2021 - 期刊:
- 影响因子:0
- 作者:
Pai Li;Ze Zhang;Brad Day;Yiying Tong - 通讯作者:
Yiying Tong
Texture mapping subdivision surfaces with hard constraints
具有硬约束的纹理映射细分表面
- DOI:
10.1007/s00371-013-0794-4 - 发表时间:
2013-11 - 期刊:
- 影响因子:3.5
- 作者:
Yanlin Weng;Dongping Li;Yiying Tong - 通讯作者:
Yiying Tong
Angle-Based Representation of Triangulated Surfaces
三角曲面基于角度的表示
- DOI:
- 发表时间:
2024 - 期刊:
- 影响因子:0
- 作者:
Ze Zhang;Xiaojun Wang;Yiying Tong - 通讯作者:
Yiying Tong
Compact combinatorial maps: A volume mesh data structure
紧凑组合图:体网格数据结构
- DOI:
10.1016/j.gmod.2012.10.001 - 发表时间:
2013-05 - 期刊:
- 影响因子:1.7
- 作者:
Xin Feng;Yuanzhen Wang;Yanlin Weng;Yiying Tong - 通讯作者:
Yiying Tong
Visual fluid animation via lifting wavelet transform
通过提升小波变换实现视觉流体动画
- DOI:
10.1002/cav.1574 - 发表时间:
2014-05 - 期刊:
- 影响因子:1.1
- 作者:
Shiguang Liu;Yixin Xu;Junyong Noh;Yiying Tong - 通讯作者:
Yiying Tong
Yiying Tong的其他文献
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{{ truncateString('Yiying Tong', 18)}}的其他基金
EAGER: Collaborative Research: Towards Robust and Scalable Hexahedral Meshing
EAGER:协作研究:实现稳健且可扩展的六面体网格划分
- 批准号:
1655422 - 财政年份:2016
- 资助金额:
$ 52.13万 - 项目类别:
Standard Grant
Collaborative Research: Geometric Time Integrators for Mechanical Dynamical Systems
合作研究:机械动力系统的几何时间积分器
- 批准号:
0757123 - 财政年份:2008
- 资助金额:
$ 52.13万 - 项目类别:
Standard Grant
Collaborative Research: CPA-G&V: Eigengeometry: Geometric Spectral Computing for Computer Graphics and Computational Science
合作研究:CPA-G
- 批准号:
0811313 - 财政年份:2008
- 资助金额:
$ 52.13万 - 项目类别:
Standard Grant
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