ITR: Collaborative Research on Multiresolution Adaptive Spectral Element Solvers for Atmospheric Fluid Dynamics
ITR:大气流体动力学多分辨率自适应谱元求解器的合作研究
基本信息
- 批准号:0083048
- 负责人:
- 金额:$ 25.9万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2000
- 资助国家:美国
- 起止时间:2000-09-01 至 2003-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
This project will develop a multiresolution numerical methodology for solving the partial differential equations of fluid dynamics on the sphere, and apply it to practical atmospheric-flow simulations. Its starting point is the spectral-element method (SEM), which retains the spectral accuracy of spherical-harmonic transform methods, without the latter's problems near the poles. Observing that the spatial discretization via SEM and via multiwavelets (on the finest scale) are the same, the researchers will develop an adaptive multiresolution multiwavelet solver, and test it using standard atmospheric simulation benchmarks.Although it is well understood that atmospheric phenomena involve strong multiscale interactions, today there are no adaptive multiresolution solvers. The necessary mathematical tools that take the multiscale nature of the problem into account have appeared only recently, and form the foundation for this research. The success of this project will have a significant impact on both the speed and the accuracy of atmospheric simulations and weather prediction.
本项目将开发一种多分辨率数值方法,用于求解球体上流体动力学的偏微分方程,并将其应用于实际的大气流动模拟。 它的出发点是谱元法(SEM),它保留了球谐变换法的谱精度,而没有后者在极点附近的问题。 通过SEM和通过多小波(在最细尺度上)观察到空间离散化是相同的,研究人员将开发一个自适应多分辨率多小波求解器,并使用标准大气模拟基准测试它。尽管众所周知,大气现象涉及强烈的多尺度相互作用,但今天还没有自适应多分辨率求解器。 考虑到问题的多尺度性质的必要数学工具最近才出现,并形成了这项研究的基础。 该项目的成功将对大气模拟和天气预测的速度和准确性产生重大影响。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Ferdinand Baer其他文献
Analytical solutions to low-order spectral systems
- DOI:
10.1007/bf02250893 - 发表时间:
1970-09-01 - 期刊:
- 影响因子:2.100
- 作者:
Ferdinand Baer - 通讯作者:
Ferdinand Baer
Ferdinand Baer的其他文献
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{{ truncateString('Ferdinand Baer', 18)}}的其他基金
ITR: Collaborative Research: Solving PDEs Using Low Separation-Rank Representations and Optimal Quadratures for Exponentials
ITR:协作研究:使用低分离秩表示和指数的最佳求积求解偏微分方程
- 批准号:
0219314 - 财政年份:2002
- 资助金额:
$ 25.9万 - 项目类别:
Standard Grant
Truncation Optimization for Global Prediction Models
全局预测模型的截断优化
- 批准号:
9300976 - 财政年份:1993
- 资助金额:
$ 25.9万 - 项目类别:
Continuing Grant
East Asian Monsoon Climate Variability
东亚季风气候变率
- 批准号:
9120357 - 财政年份:1992
- 资助金额:
$ 25.9万 - 项目类别:
Continuing Grant
Global Model Prediction Optimization Using Three DimensionalTruncation
使用三维截断的全局模型预测优化
- 批准号:
9002835 - 财政年份:1990
- 资助金额:
$ 25.9万 - 项目类别:
Continuing Grant
Studies Oriented Toward Improving Prediction Skill
旨在提高预测技能的研究
- 批准号:
8521374 - 财政年份:1986
- 资助金额:
$ 25.9万 - 项目类别:
Continuing Grant
Calculation of the Global Hydrological Cycle - Through Repeated Insertions of Available Satellite and Surface Observations Into a Numerical Model of the ATM & Biosphe
全球水文循环的计算 - 通过将可用的卫星和地面观测数据重复插入到 ATM 的数值模型中
- 批准号:
8611932 - 财政年份:1986
- 资助金额:
$ 25.9万 - 项目类别:
Continuing Grant
Intraseasonal and Interannual Variability of the East Asian Summer Monsoon
东亚夏季风的季节内和年际变化
- 批准号:
8414834 - 财政年份:1985
- 资助金额:
$ 25.9万 - 项目类别:
Continuing Grant
Studies on the Causes and the Predictability of Anomalies inthe Time-Mean Atmosphere
平均时大气异常的成因及可预测性研究
- 批准号:
8314431 - 财政年份:1984
- 资助金额:
$ 25.9万 - 项目类别:
Continuing Grant
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