Development and Application of Efficient High-order Semi-Lagrangian Schemes
高效高阶半拉格朗日格式的开发与应用
基本信息
- 批准号:1830838
- 负责人:
- 金额:$ 5.56万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2017
- 资助国家:美国
- 起止时间:2017-08-16 至 2020-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Understanding behaviors of plasmas plays an increasingly important role in modern science and engineering such as thermo-nuclear fusion, satellite amplifier, and computer chip manufacturing. A fundamental model in plasma physics is the Vlasov-Maxwell system, which is a nonlinear kinetic transport model describing the dynamics of charged particles due to the self-consistent electromagnetic forces. As predictive simulation tools in studying the complex kinetic system, efficient, reliable and accurate transport schemes are of fundamental significance. The main numerical challenges in such studies lie in the high dimensionality, nonlinear coupling, and inherent multi-scale nature in both space and time. Another application concerned in this project is in atmospheric science. One example is the chemistry-climate model in the study of evolution of stratospheric ozone and many other chemical constituents. The present generation of global climate models include hundreds of tracer species in order to adequately represent complex physical and chemical processes, resulting in huge computational cost in computer simulations. The PI will develop and analyze a class of efficient, reliable and highly accurate numerical methods for transport problems in plasma physics and atmospheric science. A semi-Lagrangian framework will be devised by employing a high order discontinuous Galerkin spatial discretization to take advantage of its many attractive properties, such as flexibility, compactness, and excellent ability to resolve features involving multiple scales. By a careful design in the scheme formulation, the proposed scheme is free of splitting error and able to conserve total mass of the system. Motivated by the work of PI on developing a fast asymptotic preserving Maxwell solver that is capable of recovering the magneto-static limit, the temporal scale separation issue associated with the Vlasov-Maxwell simulations will be addressed. For the applications in the global chemistry-climate modeling, the new schemes can be conveniently adapted to the spherical transport simulations based on the cubed-sphere geometry. Theoretical issues including the stability analysis and error estimates will be investigated.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.
了解等离子体的行为在现代科学和工程中起着越来越重要的作用,如热核聚变、卫星放大器和计算机芯片制造。等离子体物理学中的基本模型是弗拉索夫-麦克斯韦系统,其是描述由于自洽电磁力引起的带电粒子的动力学的非线性动力学输运模型。作为研究复杂动力学系统的预测模拟工具,高效、可靠、准确的输运方案具有重要意义。在这些研究中的主要数值挑战在于高维,非线性耦合,在空间和时间的固有的多尺度性质。该项目涉及的另一个应用是大气科学。一个例子是研究平流层臭氧和许多其他化学成分演变的化学气候模型。目前的全球气候模式包括数百种示踪物质,以充分代表复杂的物理和化学过程,导致巨大的计算成本在计算机模拟。 PI将为等离子体物理和大气科学中的传输问题开发和分析一类高效,可靠和高精度的数值方法。一个半拉格朗日框架将设计采用高阶不连续的伽辽金空间离散化,以利用其许多有吸引力的属性,如灵活性,紧凑性,以及出色的能力,解决涉及多个尺度的功能。通过对格式的精心设计,该格式既避免了分裂误差,又能保持系统的总质量。受PI开发能够恢复静磁极限的快速渐近保持麦克斯韦求解器的工作的启发,将解决与Vlasov-麦克斯韦模拟相关的时间尺度分离问题。对于全球化学气候模拟的应用,新方案可以方便地适用于基于立方球几何的球形输运模拟。该奖项反映了NSF的法定使命,并通过使用基金会的知识价值和更广泛的影响审查标准进行评估,被认为值得支持。
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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Wei Guo其他文献
Influence of geosynthetic reinforcement on the stability of an embankments with rigid columns embedded in an inclined underlying stratum
土工合成材料加筋对倾斜下垫层刚性柱路堤稳定性的影响
- DOI:
- 发表时间:
2021 - 期刊:
- 影响因子:5.2
- 作者:
Gang Zheng;Xiaoxuan Yu;Haizuo Zhou;Xinyu Yang;Wei Guo;Pengbo Yang - 通讯作者:
Pengbo Yang
Effect of magnesia on the compressive strength of pellets
氧化镁对球团矿抗压强度的影响
- DOI:
10.1007/s12613-014-0926-5 - 发表时间:
2014-05 - 期刊:
- 影响因子:4.8
- 作者:
Shen Feng-man;Gao Qiang-jian;Jiang Xin;Wei Guo;Zheng Hai-yan - 通讯作者:
Zheng Hai-yan
Intensified sulfamethoxazole removal in an electrolysis-integrated tidal flow constructed wetland system
电解集成潮汐流人工湿地系统强化磺胺甲恶唑去除
- DOI:
10.1016/j.cej.2020.124545 - 发表时间:
2020-06 - 期刊:
- 影响因子:15.1
- 作者:
Xiaohui Liu;Yongqiang Wang;Shaoyong Lu;Ying Liu;Bin Zhao;Beidou Xi;Xiaochun Guo;Wei Guo;Jian Zhang - 通讯作者:
Jian Zhang
Self-assembled chiral phosphorus nanotubes from phosphorene: a molecular dynamics study
由磷烯自组装手性磷纳米管:分子动力学研究
- DOI:
10.1039/c7ra03807k - 发表时间:
2016-05 - 期刊:
- 影响因子:0
- 作者:
Douxing Pan;Tzu-Chiang Wang;Chao Wang;Wei Guo;Yugui Yao - 通讯作者:
Yugui Yao
Degradation difference of Ofloxacin and Levofloxacin by UV/H2O2 and UV/PS (persulfate): Efficiency, factors and mechanism
UV/H2O2 和 UV/PS(过硫酸盐)对氧氟沙星和左氧氟沙星的降解差异:效率、因素和机制
- DOI:
10.1016/j.cej.2019.123987 - 发表时间:
2020-04 - 期刊:
- 影响因子:15.1
- 作者:
Xiaohui Liu;Ying Liu;Shaoyong Lu;Zhi Wang;Yongqiang Wang;Guodong Zhang;Xiaochun Guo;Wei Guo;Tingting Zhang;Beidou Xi - 通讯作者:
Beidou Xi
Wei Guo的其他文献
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{{ truncateString('Wei Guo', 18)}}的其他基金
Conference: Organizing 2024 International Conference on Quantum Fluids and Solids
会议:组织2024年量子流体和固体国际会议
- 批准号:
2318163 - 财政年份:2023
- 资助金额:
$ 5.56万 - 项目类别:
Standard Grant
Stereoscopic visualization study of turbulence and vortex-tangle dynamics in He II
He II 中湍流和涡旋缠结动力学的立体可视化研究
- 批准号:
2100790 - 财政年份:2021
- 资助金额:
$ 5.56万 - 项目类别:
Standard Grant
Adaptive High Order Low-Rank Tensor Methods for High-Dimensional Partial Differential Equations with Application to Kinetic Simulations
高维偏微分方程的自适应高阶低阶张量方法及其在动力学模拟中的应用
- 批准号:
2111383 - 财政年份:2021
- 资助金额:
$ 5.56万 - 项目类别:
Standard Grant
High Reynolds Number Turbulence Research in Cryogenic Helium
低温氦中的高雷诺数湍流研究
- 批准号:
1801780 - 财政年份:2018
- 资助金额:
$ 5.56万 - 项目类别:
Standard Grant
Flow Visualization Study of Quantum Hydrodynamics in Superfluid Helium-4
超流 Helium-4 中量子流体动力学的流动可视化研究
- 批准号:
1807291 - 财政年份:2018
- 资助金额:
$ 5.56万 - 项目类别:
Standard Grant
Development and Application of Efficient High-order Semi-Lagrangian Schemes
高效高阶半拉格朗日格式的开发与应用
- 批准号:
1620047 - 财政年份:2016
- 资助金额:
$ 5.56万 - 项目类别:
Standard Grant
Visualization study of vortex-line dynamics in a magnetically levitated helium-4 superfluid drop
磁悬浮氦 4 超流体液滴涡线动力学的可视化研究
- 批准号:
1507386 - 财政年份:2015
- 资助金额:
$ 5.56万 - 项目类别:
Continuing Grant
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