权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Nonlinear Reduced Hamiltonian and Collisional Gyrokinetic Plasma Transport Models

非线性简化哈密顿量和碰撞回旋等离子体输运模型

基本信息

批准号：
1805164
负责人：
Alain Brizard
金额：
$ 15.18万
依托单位：
Saint Michael's College
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-07-01 至 2022-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1805164&HistoricalAwards=false
关键词：
Nonlinear Reduced Hamiltonian Collisional Gyrokinetic

项目摘要

The primary purpose of this project is to derive tractable mathematically accurate plasma physics models that are suitable for numerical implementation in plasma simulation codes. The overwhelming complexity of the physical world makes it very difficult to carry out accurate computer simulations that are faithful to it. Fortunately, the physical laws that govern this world have mathematical properties and structures that guarantee the existence of important conservation laws, such as conservation of energy. Plasma physics has been at the cutting edge of the derivation of several dynamical models, such as plasma gyrokinetic models, that are successfully implemented in high-performance computer algorithms developed at leading US universities and national laboratories. The need to develop fast and efficient simulation algorithms must rely, however, on our ability to derive reduced physical models that preserve the properties and structures of the original physical laws. The goal of the project is to develop and implement structure-preserving Hamiltonian and collisional gyrokinetic models for the purpose of studying turbulent collisionless and irreversible collisional transport processes in strongly magnetized plasmas. These reduced gyrokinetic models provide a theoretical foundation for the future development of geometric and metriplectic algorithms designed for advanced plasma simulations of laboratory and space plasmas. The bracket properties of a reduced Vlasov-Maxwell bracket are guaranteed by the application of Lie-transform methods used in its derivation. Since the operations of truncation at finite order and gyroangle averaging are required for any practical application of a reduced Vlasov-Maxwell bracket, however, it is imperative to determine whether these operations preserve the brackets properties.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.

这个项目的主要目的是推导出易于处理的数学上精确的等离子体物理模型，这些模型适合于等离子体模拟代码中的数值实现。物理世界的复杂性使得计算机很难精确地模拟它，幸运的是，支配这个世界的物理定律具有数学性质和结构，保证了重要的守恒定律的存在，例如能量守恒。等离子体物理学一直处于推导若干动力学模型的前沿，例如等离子体回旋动力学模型，这些模型在美国领先的大学和国家实验室开发的高性能计算机算法中成功实施。然而，开发快速有效的模拟算法的需要必须依赖于我们导出保留原始物理定律的属性和结构的简化物理模型的能力。该项目的目标是开发和实施结构保持哈密顿和碰撞回旋动力学模型，以研究强磁化等离子体中湍流无碰撞和不可逆碰撞输运过程。这些减少gyrokinetic模型提供了一个理论基础，为未来发展的几何和metriplectic算法设计先进的等离子体模拟实验室和空间等离子体。通过应用Lie变换方法，保证了约化Vlasov-Maxwell括号的括号性质。然而，由于在有限阶截断和陀螺角平均的操作是减少弗拉索夫-麦克斯韦括号的任何实际应用所必需的，因此必须确定这些操作是否保留了括号的属性。该奖项反映了NSF的法定使命，并已被认为是值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估的支持。