A fast multipole transformation for global climate calculations

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A fast multipole transformation is adapted to the evaluation of summations that occur in global climate calculations when transforming between spatial and spherical harmonic representations. For each summation, the timing of the fast multipole transformation scales linearly with the number of latitude gridpoints, but the timing for direct evaluations scales quadratically. In spite of a larger computational overhead, this scaling advantage renders the fast multipole method faster than direct evaluation for transformations involving greater than approximately 300 to 500 gridpoints. Convergence of the fast multipole transformation is accurate to machine precision. As the resolution in global climate calculations continues to ... continued below

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29 p.

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Holmes, J.A.; Wang, Z.; Drake, J.B.; Lyon, B.F. & Chen, W.T. January 1, 1996.

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Description

A fast multipole transformation is adapted to the evaluation of summations that occur in global climate calculations when transforming between spatial and spherical harmonic representations. For each summation, the timing of the fast multipole transformation scales linearly with the number of latitude gridpoints, but the timing for direct evaluations scales quadratically. In spite of a larger computational overhead, this scaling advantage renders the fast multipole method faster than direct evaluation for transformations involving greater than approximately 300 to 500 gridpoints. Convergence of the fast multipole transformation is accurate to machine precision. As the resolution in global climate calculations continues to increase, an increasingly large fraction of the computational work involves the transformation between spatial and spherical harmonic representations. The fast multipole transformation offers a significant reduction in computational time for these high-resolution cases.

Physical Description

29 p.

Notes

OSTI as DE96008764

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  • Other Information: PBD: Jan 1996

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  • Other: DE96008764
  • Report No.: ORNL/TM--13135
  • Grant Number: AC05-84OR21400
  • DOI: 10.2172/212488 | External Link
  • Office of Scientific & Technical Information Report Number: 212488
  • Archival Resource Key: ark:/67531/metadc672045

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • January 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • Jan. 19, 2016, 1:38 p.m.

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Holmes, J.A.; Wang, Z.; Drake, J.B.; Lyon, B.F. & Chen, W.T. A fast multipole transformation for global climate calculations, report, January 1, 1996; Tennessee. (digital.library.unt.edu/ark:/67531/metadc672045/: accessed October 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.