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A Universal Recursive Analytical Solution of the Nonlinear Storage Equation for Flood Control Reservoir Sizing

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  • Jozsef Szilagyi Budapest University of Technology and Economics

DOI:

https://doi.org/10.31224/5909

Keywords:

nonlinear storage equation, universal recursive analytical solution, discrete linear cascade model, recursion, flood control reservoir

Abstract

The nonlinear storage equation to arbitrary inflow rates is solved for the outflow time-series by recursively employing the analytical solution of the linear storage equation evaluated at each time-increment with an updated storage coefficient value. As the procedure is fully analytical it avoids any problems a numerical solution may present.

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2025-12-02

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Copyright (c) 2025 Jozsef Szilagyi

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This work is licensed under a Creative Commons Attribution 4.0 International License.