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

Authors

  • József Szilágyi
    Affiliation
    Department of Hydraulic and Water Resources Engineering, Faculty of Civil Engineering, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
https://doi.org/10.3311/PPci.42948

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.

Keywords:

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

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Published Online

2026-02-11

How to Cite

Szilágyi, J. “A Universal Recursive Analytical Solution of the Nonlinear Storage Equation for Flood Control Reservoir Sizing”, Periodica Polytechnica Civil Engineering, 2026. https://doi.org/10.3311/PPci.42948

Issue

ONLINEFIRST

Section

Research Article