Simulations of Cosmological Structure Formation in 6D Phase Space

6D 相空间中宇宙结构形成的模拟

• 批准号: 0507401
• 负责人: Jihad Touma
• 金额: --
• 依托单位: American University of Beirut
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-10-01 至 2008-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0507401&HistoricalAwards=false
• 关键词: Simulations; Cosmological; Structure; Formation; 6D

AST-0507401ToumaStudies of the formation of galaxies and of large-scale structure rely heavily on N-body simulations, which act as efficient laboratories to test and guide theoretical investigations, and to inform observational programs. Such simulations try to approximate the continuous distribution function (DF) that fully characterizes the system at hand, with a discrete sample of particles. This work will provide solid foundations for evaluation of theoretical models, by constructing efficient algorithms to evolve a cosmologically relevant DF in the full six-dimensional phase space, a rather daunting task made tractable by the growth in available computational power. The 6D problem will be approached via 1D and 4D. The research will create efficient computational tools of use in theoretical astrophysics, plasma physics and computational fluid dynamics. It will provide benchmark simulations of cosmological structure formation, and lead to innovations in geometrical algorithms for the study of certain types of surfaces.The project will engage students at the American University of Beirut and neighboring universities in fundamental research work. This involvement will help to make scientific computing a mainstay of research and education at the University. The broad collaborative dimension of the research will qualify the students' otherwise rather narrow exposure to current scientific practice.

星系形成和大尺度结构的研究在很大程度上依赖于n体模拟，它作为有效的实验室来测试和指导理论研究，并为观测计划提供信息。这样的模拟试图近似连续分布函数（DF），它完全表征了手头的系统，具有离散的粒子样本。这项工作将为理论模型的评估提供坚实的基础，通过构建有效的算法来在全六维相空间中演化出与宇宙相关的DF，这是一项相当艰巨的任务，但随着可用计算能力的增长，它变得容易处理。6D问题将通过1D和4D来解决。这项研究将为理论天体物理学、等离子体物理学和计算流体动力学创造有效的计算工具。它将提供宇宙结构形成的基准模拟，并导致研究某些类型表面的几何算法的创新。该项目将让贝鲁特美国大学和邻近大学的学生参与基础研究工作。这种参与将有助于使科学计算成为该大学研究和教育的支柱。研究的广泛合作维度将使学生对当前科学实践的接触变得相当狭隘。