| 用多重网格法解赫姆霍兹型欧拉方程 |
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| 引用本文： | 张培昌,李建通.用多重网格法解赫姆霍兹型欧拉方程[J].南京气象学院学报,1995,18(2):263-268. |
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| 作者姓名： | 张培昌 李建通 |
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| 作者单位： | 南京气象学院大气物理学系，厦门市气象局 |
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| 基金项目： | “八五”国家重大科技攻关项目 |
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| 摘 要： | 讨论了用多重网格方法（ＭＧＭ）求解赫姆霍兹型欧拉方程第一边值的五个定解问题，并与变系数超松弛迭代法作了比较。结果表明，在相同的精度条件下，前者所需的计算时间要比后者少，时间效率比随着网格数的增加而明显提高，反映了用多重网格方法求解大型差分方程组数值解的优越性。
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| 关 键 词： | 多重网格法 赫姆霍兹型 欧拉方程 降水量 |
USE OF MULTIGRID METHODS IN SOLVING HELMHOLTZ 'S EULER EQUATION |
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| Zhang Peichang,Li Jiantong,Gu Songshan.USE OF MULTIGRID METHODS IN SOLVING HELMHOLTZ ''S EULER EQUATION[J].Journal of Nanjing Institute of Meteorology,1995,18(2):263-268. |
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| Authors: | Zhang Peichang Li Jiantong Gu Songshan |
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| Abstract: | A multigrid Method(MGM)is employed to calculate five fixed solutions to the firstboundary-value problems of Helmholtz's Euler equation,which are compared to the superrelaxation iteration with variable coefficients,Evidence suggests that the required time of theMGM is less than that of the iteration for the same accuracy with the time/efficiency ratio greatlyenhanced with increased grid number,thereby exhibiting advantages in finding numericalsolutions of a large-scale difference equation. |
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| Keywords: | multigrid method super-relaxation iteration quantitative measurement of rainfall Helmholtz's Euler equation |
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