New spectral methods for fluid dynamical applications on the sphere

用于球体流体动力学应用的新光谱方法

• 批准号: NE/C000811/1
• 负责人: Gregory Houseman
• 金额: $ 3.92万
• 依托单位: University of Leeds
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=NE%2FC000811%2F1
• 关键词: New; spectral; methods; fluid; dynamical

Simulations of many large-scale geophysical systems, such as climate, mantle convection and magnetic field generation in the core require computations in a spherical geometry. Traditional computer models are relatively slow because the spatial dependence of relevant physical variables (e.g. temperature) at fixed radius are represented by somewhat complicated mathematical functions, the so-called 'spherical harmonics'. A new, simpler representation has been found in a new coordinate system and this work is concerned with exploiting this representation in the development of new computationally efficient methods for simulating these systems in a spherical geometry

许多大型地球物理系统的模拟，如气候、地幔对流和地核磁场的产生，都需要以球面几何形式进行计算。传统的计算机模型相对较慢，因为在固定半径下，相关物理变量（如温度）的空间依赖性由一些复杂的数学函数表示，即所谓的“球谐”。在一种新的坐标系中发现了一种新的、更简单的表示法，这项工作是利用这种表示法来开发新的计算效率高的方法来模拟球面几何中的这些系统