New techniques for improving the accuracy of gradients for particle and grid simulations of magnetohydrodynamic turbulence.

提高磁流体动力学湍流粒子和网格模拟梯度精度的新技术。

• 批准号: 0612724
• 负责人: Jason Maron
• 金额: $ 23.92万
• 依托单位: American Museum Natural History
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-09-01 至 2010-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0612724&HistoricalAwards=false
• 关键词: New; techniques; improving; accuracy; gradients

AST-0612724MaronIn astrophysics, computing the flow of magnetized gases is central to understanding systems ranging from stellar formation and evolution to black hole accretion disks. However, how well a fluid modeling algorithm performs depends greatly on how well it can compute derivatives or gradients. This project will implement two new types of algorithms, one for particles using polynomial regression techniques, and one for grids using high-order, volume-centered, constrained transport, combined with tuned finite difference coefficients. When used with a de-aliasing correction, this yields near spectral quality in a finite difference code, allowing large parallel computations at relatively low cost.These algorithms will be available as independent modules, but also as part of the publicly distributed and broadly used codes GADGET2 and Pencil, in order to promote their wide use in the astrophysical community. The work will integrate applied mathematical techniques and astrophysical simulations. Research results will be incorporated into Space Shows of the Hayden Planetarium at the American Museum of Natural History, viewed locally by a million visitors a year, including over a hundred thousand New York City school children, and into training provided to hundreds of teachers annually.

AST-0612724 Maron在天体物理学中，计算磁化气体的流动对于理解从恒星形成和演化到黑洞吸积盘的系统至关重要。 然而，流体建模算法的性能在很大程度上取决于它可以计算导数或梯度的性能。 该项目将实现两种新的算法，一种用于使用多项式回归技术的粒子，另一种用于使用高阶，体积中心，约束传输，结合调谐有限差分系数的网格。 当与去混叠校正一起使用时，这在有限差分代码中产生接近光谱的质量，允许以相对低的成本进行大规模并行计算。这些算法将作为独立的模块提供，但也作为公开分发和广泛使用的代码GADGET 2和GADGET的一部分，以促进它们在天体物理界的广泛使用。 这项工作将结合应用数学技术和天体物理模拟。 研究成果将被纳入美国自然历史博物馆海登天文馆的太空展，每年有100万名当地游客参观，其中包括超过10万名纽约市学童，并将纳入每年向数百名教师提供的培训。