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Research on parallel solution of GRAPES Helmholtz equation
Author(s) -
Li Jingmei,
Tian Qiao,
Zheng Fangyuan,
Wu Weifei,
Wang Jiaxiang
Publication year - 2018
Publication title -
concurrency and computation: practice and experience
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.309
H-Index - 67
eISSN - 1532-0634
pISSN - 1532-0626
DOI - 10.1002/cpe.4479
Subject(s) - grid , computer science , interpolation (computer graphics) , residual , acceleration , mathematical optimization , component (thermodynamics) , algorithm , computational science , mathematics , motion (physics) , artificial intelligence , geometry , physics , classical mechanics , thermodynamics
Summary GRAPES is a new generation of numerical weather prediction system developed and used by Chinese researchers. As the accuracy requirement of weather prediction system is increasing, the grid resolution of the global model is greatly increasing; therefore, the computing power becomes one of the important factors restricting the performance of the numerical weather prediction system. In order to solve the problem, the paper introduces the geometric multi‐grid solution to solve the GRAPES Helmholtz equation. The core idea of multi‐grid solution is to eliminate the swing component of the residual by iterative algorithm and eliminate the smooth components of the residuals by using the coarse grid interpolation to correct the fine grid solution. This paper designs a parallel solution for GRAPES multi‐grid, including grid coarsening operation, smooth operation, and the coarsest grid accurate solution operation. Finally, the actual data with the resolution of 1 is tested, achieving the better acceleration effect. At the same time, the analysis and explanations of the test results have some useful conclusions.