A Universal Recursive Analytical Solution of the Nonlinear Storage Equation for Flood Control Reservoir Sizing
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.
Fields of Study & Subjects
Water resources management and optimization
Flood Risk Assessment and Management
Hydraulic flow and structures
Publication details
- Journal / source
- Periodica Polytechnica Civil Engineering
- Publisher
- Periodica Polytechnica Budapest University of Technology and Economics
- Volume
- 70
- Issue
- 1
- Pages
- 151–155
- Publication date
- 11 February 2026