Collaborative Research: Lab-Data-Enabled Modeling, Numerical Methods, and Validation for a Three-Dimensional Interface Inverse Problem for Plasma-Material Interactions
协作研究:等离子体-材料相互作用的三维界面反问题的实验室数据建模、数值方法和验证
基本信息
- 批准号:2110833
- 负责人:
- 金额:$ 21.28万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2021
- 资助国家:美国
- 起止时间:2021-08-01 至 2024-07-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Plasma-material interactions play a crucial role in many science and engineering applications, including nanoparticle synthesis, soot formation in combustion, and space science. This collaborative project will advance the state of the art of computational plasma science and engineering, and applications related to plasma-material interactions. It will also prepare the next generation of researchers for the era of exascale computing on modern and future supercomputing platforms. This project provides undergraduate and graduate students valuable training opportunities in data-enabled modeling, development of numerical methods and code packages, mathematical analysis, and engineering applications. They will gain a solid foundation in computational math and data science, valuable research experience, and extensive collaboration experience with mathematicians and engineers. Starting from this collaborative work, the investigators plan to disseminate the proposed model, methods, and code packages to more engineers and scientists for solving their problems, present the work in professional conferences and colloquia, and organize special sessions in conferences for related works. In the Particle-In-Cell (PIC) method for plasma simulation involving materials, the electric potential is governed by the second-order elliptic interface problem with discontinuous dielectric coefficients and non-homogeneous flux jumps. Immersed finite element (IFE) methods are a class of accurate and efficient numerical methods for solving interface problems on structured meshes, which are desirable in PIC method because of the efficient particle-mesh interactions. However, in simulations involving conductors, one usually only knows the total electric charge quantity on the conductor surface, not the surface charge density, which is necessary for solving the second-order elliptic interface equation. Therefore, this project will start from the modeling for an inverse interface problem to identify the surface charge density based on the lab experiment data. According to the lab data availability, different mathematical considerations of the data in the cost functionals will lead to various adjoint problems. Then efficient iterative algorithms based on IFEs will be developed to solve the inverse problem. The key techniques to improve the IFE solver include new trilinear IFE basis functions, a partially penalized scheme, realistic interface shapes, and adaptive mesh refinement based on a posteriori error estimates. The numerical results will be compared with the corresponding lab experiment results. Finally, the developed model and method will be incorporated into PIC simulations of the charging of lunar landers/rovers/habitats and dusts under solar wind plasma conditions for lunar exploration.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
等离子体-材料相互作用在许多科学和工程应用中起着至关重要的作用,包括纳米颗粒合成,燃烧中的烟尘形成和空间科学。这个合作项目将推动计算等离子体科学和工程的发展,以及与等离子体-材料相互作用相关的应用。它还将为下一代研究人员在现代和未来的超级计算平台上进行亿亿次计算的时代做好准备。该项目为本科生和研究生提供了数据建模,数值方法和代码包开发,数学分析和工程应用方面的宝贵培训机会。他们将获得计算数学和数据科学的坚实基础,宝贵的研究经验,以及与数学家和工程师的广泛合作经验。从这项合作工作开始,研究人员计划将提出的模型,方法和代码包传播给更多的工程师和科学家,以解决他们的问题,在专业会议和座谈会上介绍工作,并在相关工作的会议上组织特别会议。在模拟含材料等离子体的PIC(Particle-In-Cell)方法中,电势由介电系数不连续、通量跳跃不均匀的二阶椭圆界面问题控制。浸没有限元(Immersed Finite Element,IFE)方法是一类在结构网格上求解界面问题的高精度、高效率的数值方法。然而,在涉及导体的模拟中,人们通常只知道导体表面上的总电荷量,而不是表面电荷密度,这是求解二阶椭圆界面方程所必需的。因此,本计画将从一个反界面问题的模型出发,以实验室的实验数据为基础,辨识表面电荷密度。根据实验数据的可用性,对代价泛函中数据的不同数学考虑将导致各种伴随问题。然后,有效的迭代算法的基础上IFEs将开发解决反问题。改进IFE求解器的关键技术包括新的三线性IFE基函数、部分惩罚方案、真实的界面形状和基于后验误差估计的自适应网格细化。将数值计算结果与相应的实验室实验结果进行了比较。最后,开发的模型和方法将被纳入PIC模拟充电的月球着陆器/漫游车/栖息地和灰尘太阳风等离子体条件下的月球探测。这一奖项反映了NSF的法定使命,并已被认为是值得通过评估使用基金会的智力价值和更广泛的影响审查标准的支持。
项目成果
期刊论文数量(5)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Weak scaling of the parallel immersed-finite-element particle-in-cell (PIFE-PIC) framework with lunar plasma charging simulations
- DOI:10.1007/s40571-022-00470-0
- 发表时间:2022-03
- 期刊:
- 影响因子:3.3
- 作者:D. Lund;Xiaoming He;Xu Zhang;D. Han
- 通讯作者:D. Lund;Xiaoming He;Xu Zhang;D. Han
Semi and fully discrete error analysis for elastodynamic interface problems using immersed finite element methods
- DOI:10.1016/j.camwa.2023.07.014
- 发表时间:2023-08-03
- 期刊:
- 影响因子:2.9
- 作者:Chen,Yuan;Hou,Songming;Zhang,Xu
- 通讯作者:Zhang,Xu
An immersed Crouzeix-Raviart finite element method for Navier-Stokes equations with moving interfaces
具有移动界面的纳维-斯托克斯方程的浸入式 Crouzeix-Raviart 有限元法
- DOI:
- 发表时间:2022
- 期刊:
- 影响因子:1.1
- 作者:Wang, Jin;Zhang, Xu;Zhuang, Qiao
- 通讯作者:Zhuang, Qiao
Error analysis of Petrov-Galerkin immersed finite element methods
- DOI:10.1016/j.cma.2022.115744
- 发表时间:2023-02
- 期刊:
- 影响因子:7.2
- 作者:Cuiyu He;Shun Zhang;Xu Zhang
- 通讯作者:Cuiyu He;Shun Zhang;Xu Zhang
Solving Navier–Stokes Equations with Stationary and Moving Interfaces on Unfitted Meshes
- DOI:10.1007/s10915-023-02414-z
- 发表时间:2023-12
- 期刊:
- 影响因子:2.5
- 作者:Yuan Chen;Xu Zhang
- 通讯作者:Yuan Chen;Xu Zhang
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Xu Zhang其他文献
Cyclic Controlled Quantum Teleportation Using Three-Dimensional Hyper-Entangled State
使用三维超纠缠态的循环控制量子隐形传态
- DOI:
10.1007/s10773-019-04183-8 - 发表时间:
2019-09 - 期刊:
- 影响因子:1.4
- 作者:
Jin Shi;Xu Zhang;Yu Zhu - 通讯作者:
Yu Zhu
Interpretable machine learning models for crime prediction
用于犯罪预测的可解释机器学习模型
- DOI:
10.1016/j.compenvurbsys.2022.101789 - 发表时间:
2022-06 - 期刊:
- 影响因子:0
- 作者:
Xu Zhang;Lin Liu;Minxuan Lan;Guangwen Song;Luzi Xiao;Jianguo Chen - 通讯作者:
Jianguo Chen
Loss Calculation, Thermal Analysis, and Measurement of Magnetically Suspended PM Machine
磁悬浮永磁电机的损耗计算、热分析和测量
- DOI:
10.1109/tie.2017.2772140 - 发表时间:
2018-06 - 期刊:
- 影响因子:7.7
- 作者:
Bangcheng Han;Xu Liu;Ziyuan Huang;Xu Zhang;Yinfeng Zhou - 通讯作者:
Yinfeng Zhou
Manipulator Arm Interactive Control in Unknown Underwater Environment
未知水下环境下机械臂交互控制
- DOI:
10.1109/wcmeim48965.2019.00104 - 发表时间:
2019 - 期刊:
- 影响因子:0
- 作者:
Zheyu Hu;Xiaowen Zhu;Dawei Tu;Xu Zhang;Mei Wang - 通讯作者:
Mei Wang
Unraveling the Dual Defect Sites in Graphite Carbon Nitride for Ultra-high Photocatalytic H2O2 Evolution
揭示石墨氮化碳中的双缺陷位点以实现超高光催化 H2O2 演化
- DOI:
10.1039/d1ee02369a - 发表时间:
2022 - 期刊:
- 影响因子:0
- 作者:
Xu Zhang;Peijie Ma;Cong Wang;Li-Yong Gan;Xianjie Chen;Peng Zhang;Yang Wang;Hui Li;Lihua Wang;Xiaoyuan Zhou;Kun Zheng - 通讯作者:
Kun Zheng
Xu Zhang的其他文献
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{{ truncateString('Xu Zhang', 18)}}的其他基金
CAREER: Kirigami-Actuated Adaptive Metasurfaces with Dynamic Tunability enabled by 2D Materials
职业:由 2D 材料实现的具有动态可调性的剪纸驱动自适应超表面
- 批准号:
2239822 - 财政年份:2023
- 资助金额:
$ 21.28万 - 项目类别:
Continuing Grant
Conference: The Seventh Annual Meeting of SIAM Central States Section
会议:SIAM中部国家分会第七届年会
- 批准号:
2224003 - 财政年份:2022
- 资助金额:
$ 21.28万 - 项目类别:
Standard Grant
RUI: Exciton-Phonon Interactions in Solids based on Time-Dependent Density Functional Perturbation Theory
RUI:基于瞬态密度泛函微扰理论的固体中激子-声子相互作用
- 批准号:
2105918 - 财政年份:2022
- 资助金额:
$ 21.28万 - 项目类别:
Continuing Grant
Topics of Immersed Finite Element Methods
浸入式有限元方法主题
- 批准号:
2005272 - 财政年份:2019
- 资助金额:
$ 21.28万 - 项目类别:
Standard Grant
Topics of Immersed Finite Element Methods
浸入式有限元方法主题
- 批准号:
1720425 - 财政年份:2017
- 资助金额:
$ 21.28万 - 项目类别:
Standard Grant
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