2013Journal of Water Resources and Water EngineeringRequires access

Simplified calculation of reasoning formula for design flood of small watershed

Zhang Li-we

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Abstract

The design of small watershed flood peak flow inference formula involves transcendental equation solving,and the present iterative method and the simplified formula exist complex calculation process and poor solution accuracy,and the use of computer to solve is inconvenient work.Combined the advantages of Newton iterative method and simple iterative method,the paper settled a theoretical analysis formula and fitted a theoretical formula by optimized fitting method and obtained were alternative forms of expression is simple,calculation convenient,to facilitate the practical application of the approximate analytical style.Accuracy analysis shows that to the maximum relative error calculated by the formula is less than 0.42%.An example shows that to use this formula to complete the design of small watershed peak flow calculation can greatly simplify the calculation process,improve significantly the working efficiency and has practical promotion significance.

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What this paper is about

The design of small watershed flood peak flow inference formula involves transcendental equation solving,and the present iterative method and the simplified formula exist complex calculation process and poor solution accuracy,and the use of computer to solve is inconvenient work.Combined the advantages of Newton iterative method and simple iterative method,the paper settled a theoretical analysis formula and fitted a theoretical formula by optimized fitting method and obtained were alternative forms of expression is simple,calculation convenient,to facilitate the practical application of the approximate analytical style.Accuracy analysis shows that to the maximum relative error calculated by the formula is less than 0.42%.An example shows that to use this formula to complete the design of small watershed peak flow calculation can greatly simplify the calculation process,improve significantly the working efficiency and has practical promotion significance.

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Available abstract

The design of small watershed flood peak flow inference formula involves transcendental equation solving,and the present iterative method and the simplified formula exist complex calculation process and poor solution accuracy,and the use of computer to solve is inconvenient work.Combined the advantages of Newton iterative method and simple iterative method,the paper settled a theoretical analysis formula and fitted a theoretical formula by optimized fitting method and obtained were alternative forms of expression is simple,calculation convenient,to facilitate the practical application of the approximate analytical style.Accuracy analysis shows that to the maximum relative error calculated by the formula is less than 0.42%.An example shows that to use this formula to complete the design of small watershed peak flow calculation can greatly simplify the calculation process,improve significantly the working efficiency and has practical promotion significance.

Key concepts: Iterative method, Simple (philosophy), Applied mathematics, Iterative and incremental development, Fuzzy logic, Mathematics, Process (computing), Watershed

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