计算机工程与科学2011，Vol.33Issue(11)：65-70,6.DOI:10.3969/j.issn.1007-130X.2011.11.012
GRAPES模式中Helmhothz方程两种求解方法的对比研究
A Study of the Two Helmholtz Solvers in the GRAPES Model Using GCR and GMRES
摘要
Abstract
GRAPES( Global and Regional Assimilation and PrEdiction System) is a new generation of NWP model in CMA (China Meteorological Administration) for the operational implementation. After the discretization of computing equations for GRAPES's model, the first calculation becomes the solution of the Helmholtz equations which is the kernel computing of the dynamic framework. The running time for solving the Helmholtz equations is more than one-third of the total cost for GRAPES-global mode at 0. 5°x0. 5° horizontal resolution with 38 vertical levels, and for the higher resolution model, the time cost is an exponential growth. The generalized conjugate residual method is employed to solve the 3D Helmholtz equation in the version of the GRAPES mode currently, as a contrast, another method which is based on GMRES(generalized minimal residual method)of PETSc(Portable, Extensible Toolkit for Scientific computation) is used here. The computation shows that the GMRES method with high preci sion can improve the forecast accuracy and has much better scalability for large-scale parallel computing.关键词
GRAPES/H elmholtz方程/广义共轭余差法(GCR)/广义最小残差法(GMRES)Key words
GRAPES/Helmholtz equation/GCR(Generalized Conjugate Residual method)/GMRES (Generalized Minimal RESidual method)分类
信息技术与安全科学引用本文复制引用
宋君强,伍湘君,张理论,陈德辉,金之雁,胡江林,李兴良..GRAPES模式中Helmhothz方程两种求解方法的对比研究[J].计算机工程与科学,2011,33(11):65-70,6.基金项目
国家863计划资助项目(2009AA01A138) （2009AA01A138）
国家自然科学基金资助项目(40505023) （40505023）
公益性行业(气象)科研专项资助项目(GYHY201006013) （气象）
