CMG RESEARCH: An Adaptive Mesh, Spectral Element Formulation of the Well-Posed Primitive Equations for Climate and Weather Modeling

DMS奖摘要奖#：0222282PI：Thomas，斯蒂芬研究所：大学大气研究机构计划：数学与地球科学合作(CMG)计划经理：Catherine Mavriplis标题：CMG研究：气候与天气适定原始方程的自适应网格，谱元素公式气候模拟是一个巨大的挑战，需要对控制地球大气的方程进行多次、长达一个世纪的积分。近年来，人们认识到局域流动结构在获得正确的气候信号方面可能起到重要作用。在不久的将来，国家大气研究中心(NCAR)和其他气候建模中心可能需要更高分辨率的气候模拟，以进行汇聚研究和评估模型的不确定性。自适应网格加密技术的最新发展可能适用于大气环流模式，而不是在整个球面上均匀地提高分辨率。基于高阶多项式的谱元和间断Galerkin方法提供了实现自适应方法所需的几何灵活性，并且表现出传统谱变换方法的指数收敛。光谱元素动态核心非常适合于基于微处理器的高性能并行计算机，NCAR的一个团队在2001年IEEE/ACM Gordon Bell竞赛中获得亚军，实现了370亿次浮点运算，代表着每天超过100年的持续气候模拟速度。这项工作代表着地球物理流体流动模拟的重大进展。通过为大气环流模式实现一个自适应的非协调谱元动力核，我们建议研究小尺度流动特征如何发展并反馈到大尺度。我们还计划在此背景下研究简单的理想化物理强迫，并与NCAR和大学研究人员一起探索如何实施自适应多尺度物理参数化。天气和气候模拟是一个极其复杂的问题，需要为地球大气运行许多长时间的计算机模拟。近年来，随着计算机计算能力的进步和对动力学认识的进步，人们认识到局部流动结构在决定特定天气和气候条件方面发挥着重要作用。因此，计算机模型应该向前发展，以有效的方式完全解决这些结构。该项目涉及开发新的、高效的计算机模型，该模型将自动解析局部特征，同时提供总体精度。这对下一代天气和气候模型的影响应该是显著的。日期：2002年6月28日

DMS Award AbstractAward #: 0222282PI: Thomas, StephenInstitution: University Corporation for Atmospheric ResearchProgram: Collaborations in Mathematics and the Geosciences (CMG)Program Manager: Catherine MavriplisTitle: CMG RESEARCH: An Adaptive Mesh, Spectral Element Formulation of the Well-Posed Primitive Equations for Climate and WeatherClimate simulation is a grand challenge problem requiring multiple, century-long integrations of the equations governing the Earth's atmosphere. Recently, it has been recognized that localized flow structures may play an important role in obtaining the correct climate signal. Higher-resolution climate simulations may be required in the near future at the National Center for Atmospheric Research (NCAR) and other climate modeling centers in convergence studies and to assess model uncertainty. Rather than increase resolution uniformly over the entire sphere, recent developments in adaptive mesh refinement techniques may be applicable to atmospheric general circulation models. High-order polynomial based spectral element and discontinous Galerkin methods offer the geometric flexibility required to implement adaptive methods and also exhibit the exponential convergence of the traditional spectral transform approach. The spectral element dynamical core is ideally suited to high-performance parallel computers based on microprocessors and a team at NCAR was awarded second place in the 2001 IEEE/ACM Gordon Bell competition for achieving 370 Gigaflops, representing a sustained climate simulation rate of over 100 years per day. This work represents a major advance in geophysical fluid flow simulations. By implementing an adaptive non-conforming spectral element dynamical core for atmospheric general circulation models, we propose to study how small scale flow features develop and feedback to larger scales. We also plan to study simple idealized physical forcings in this context and explore, with NCAR and university researchers, how adaptive multi-scale physical parameterizations can be implemented. Weather and climate simulation is an extremely complex problem that requires many long time computer modeling runs for the Earth's atmosphere. Recently, with the advances in computer power and with advances in the understanding of the dynamics, it has been recognized that local flow structures can play an important role in determining specific weather and climate conditions. Computer models should thus advance to fully resolve these structures in an efficient way. This project is concerned with the development of new, efficient computer models that will automatically resolve local features while providing overall accuracy. The impact on the next generation of weather and climate models should be significant.Date: June 28, 2002