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基于拉格朗日插值法修正地形影响的分布式降水模型研究
引用本文:张升堂,康绍忠.基于拉格朗日插值法修正地形影响的分布式降水模型研究[J].水文,2004,24(6):6-9.
作者姓名:张升堂  康绍忠
作者单位:1. 西北农林科技大学,旱区农业水土工程教育部重点实验室,陕西,杨凌,712100;杨凌职业技术学院,水利系,陕西,杨凌,712100
2. 西北农林科技大学,旱区农业水土工程教育部重点实验室,陕西,杨凌,712100
摘    要:降水量一直是进行水文分析计算的输入项,对其分布状况的模拟直接影响水文分析成果精度。降水中心位置及其中心降水量对暴雨分析尤为重要,而目前尚未见对降水中心位置方面的模型研究。在对目前国内外降水模型分析的基础上,根据天气系统降水如不受地形影响其降水量等值线在平面上的分布近似为一组同心椭圆这一原理,建立了一种能够模拟次降水过程的降水中心位置及其中心降水量的新型分布式降水数学模型,并对其进行地形影响因素修正。由于模型建立原理简单,易于实现对流域未设站研究点的实时降水量估计,同时由于模型能够指明降水中心位置及其中心降水量,因此在流域暴雨分析和洪水预报中具有实用价值。模型经实践检验具有较高精度。

关 键 词:分布式降水模型  中心位置  中心降水量  拉格朗日插值法
文章编号:1000-0852(2004)06-0006-04
修稿时间:2003年10月23

A Distributed Precipitation Model Based on Lagrange Interpolation Revised Terrain Effect
ZHANG Sheng-tang,KANG Shao-zhong.A Distributed Precipitation Model Based on Lagrange Interpolation Revised Terrain Effect[J].Hydrology,2004,24(6):6-9.
Authors:ZHANG Sheng-tang  KANG Shao-zhong
Institution:ZHANG Sheng-tang1,2,KANG Shao-zhong1
Abstract:Precipitation is the input data for hydrological analysis and computation. The hydrological simulation of precipitation distribution has a direct influence on the precision of hydrological analysis results. It is very important for storm analysis to have the central position of precipitation and the point precipitation quantity in the center. However, there is little study on this aspect. According to the research on the present precipitation models, based on the theory that the natural precipitation spatial distribution without the effect of terrain is a group of concentric ovals on the flat earth surface and has a definite center where has maximum precipitation, this paper introduces how to establish a new distributed precipitation model which can simulate the position of precipitation center and the point precipitation quantity. Moreover, the effect of terrain on precipitation is modified with Lagrange interpolation in this paper. The model can simulate the position of the precipitation center and the point precipitation quantity. Therefore, it has practical value in the field of watershed storm analysis, real-time flood forecasting, runoff producing and concentration. The practice indicates that the model has a high precision.
Keywords:distributed precipitation model: central position: precipitation quantity in center: Lagrange interpolation
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