Rigorous computation of high resolution spherical harmonic gravity models on massive parallel computer systems

地球重力场模型在许多地球科学应用中具有高度相关性。随着数据库的不断增长（通过目前的卫星重力任务，如GRACE或GOCE，测高或地表数据），更高分辨率的组合模型成为可能。因此，本文的第一个目标是利用最大次数和阶数至少为2000 （GO2000+）的球谐级数，在球上确定一个合成的、全局的、高分辨率的势场。由于我们的目标是一个严格的解决方案，而不是通常的简化，因此对算法设计，实现和硬件的要求很高，例如使用高效的数字库和分布式内存系统。这个项目的第二个重点是一致的数据组合，以便以最好的方式利用信息。由于不同来源的数据在空间分辨率、分布和误差特征上存在差异，因此需要灵活的方法和一致的随机建模。所有模拟都将作为闭环模拟研究进行，使用尽可能真实的合成数据，以便能够验证结果并分析数值效应。系统的结果将对其他与重力场相关的项目，如GOCO （GOce数据与补充重力场信息的结合）或海洋学或地球物理学等学科具有至关重要的意义。

Gravity field models of the Earth are highly relevant in many geo-scientific applications. With a growing database (through current satellite gravity missions like GRACE or GOCE, altimetry or surface data) combined models with higher resolution become possible. The first goal of this proposal is therefore the determination of a synthetic, global, high resolution potential field on the sphere, using a spherical harmonic series with a maximal degree and order of at least 2000 (GO2000+). As we aim for a rigorous solution without the usual simplifications, the requirements for algorithmic design, implementation, and hardware are high, such as the use of efficient numerical libraries and distributed memory systems. The second focus of this project is on consistent data combination to exploit information in the best possible way. As data from different sources vary in spatial resolution, distribution and error characteristics a flexible approach and a consistent stochastic modeling is needed. All simulations will be done as closed loop simulation studies using as realistic as possible synthetic data to be able to verify the results and to analyze numerical effects. The methodical results will be of crucial significance for other gravity field related projects like GOCO (combination of GOce data with COmplementary gravity field information) or disciplines like oceanography or geophysics.