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首页> 外文会议>International Conference on Computational Science - ICCA 2003 Pt.2 Jun 2-4, 2003 Melbourne, Australia and St. Petersburg, Russia >Optimization of Computations in Global Geopotential Field Applications
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Optimization of Computations in Global Geopotential Field Applications

机译：全球地势领域应用中计算的优化

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摘要

Most boundary value problems of the geopotential field have integral and series solutions in terms of Green's convolution kernels. These solutions are advantageously evaluated using fast Spherical Harmonic Transforms (SHTs) for regular arrays oft simulated or observed global data. However, the computational complexity and numerical conditioning of SHTs for relatively dense data are quite challenging and recent algorithmic developments warrant further investigations for geodetic and geophysical applications. Global multiresolution applications for scalar, vector and tensor fields on the Earth and its neighborhood require spherical harmonic analysis and synthesis using convolution filters with data decimation and dilation. For global spherical grid applications, efficient and reliable SHTs are needed just as Fast Fourier Transforms (FFTs) are used in regional planar applications. With the availability of enormous quantities of space, surface and subsurface data, extensive data structuring and management are unavoidable for most array computations. Different methodologies imply very different strategies and conflicting claims often appear in the literature. Discussions of the implicit and other assumptions with simulated results would undoubtedly help to clarify the situation and help decide on appropriate data structuring strategies for different computational applications.
机译：就格林的卷积核而言，大多数地势场的边值问题都有积分和级数解。这些解决方案可以使用快速球谐变换（SHT）对模拟或观察到的全局数据的常规数组进行评估。但是，相对密集数据的SHT的计算复杂性和数值条件非常具有挑战性，并且最近的算法发展为大地测量和地球物理应用提供了进一步的研究。地球及其附近地区的标量场，向量场和张量场的全球多分辨率应用需要使用具有数据抽取和膨胀功能的卷积滤波器进行球谐分析和合成。对于全球球面网格应用，就像在区域平面应用中使用快速傅立叶变换（FFT）一样，需要高效且可靠的SHT。随着大量空间，表面和地下数据的可用性，大多数阵列计算不可避免地要进行大量的数据结构和管理。不同的方法意味着非常不同的策略，并且在文献中经常出现相互矛盾的主张。讨论带有模拟结果的隐式假设和其他假设无疑将有助于弄清情况，并有助于决定针对不同计算应用程序的适当数据结构策略。

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