The application of cumulants to flow routing

• Autorzy: Romanowicz Renata J. , Doroszkiewicz Joanna

Identyfikatory

DOI

10.26491/mhwm/95023

• Języki publikacji: EN

Abstrakty

EN

This paper aims to fill a gap between present and past research approaches to modelling flow in open channels. In particular, a history of the analytical solutions of a linearized St. Venant equation is presented. A solution of the linearized St. Venant equation, describing the response of a river channel to a single impulse forcing, the so called Instantaneous Unit Hydrograph (IUH), can be described using cumulants, defined as the moments of a logarithm of a variable. A comparison of analytical and numerical solutions of flood wave propagation under various flow conditions is given. The river reach of Biała Tarnowska is used as an illustration of both approaches. A practical application of simplified solutions to the emulator of a flood wave propagation is suggested showing a link between theory and practice.

Słowa kluczowe

EN

open channel flow; linearized St. Venant equation; analytical solutions; moments; cumulants

• Wydawca: Instytut Meteorologii i Gospodarki Wodnej - Państwowy Instytut Badawczy
• Czasopismo: Meteorology Hydrology and Water Management. Research and Operational Applications
• Rocznik: 2019
• Tom: Vol. 7, Iss. 1
• Strony: 15--21
• Opis fizyczny: Bibliogr. 32 poz., rys., tab.

Twórcy

autor

Romanowicz Renata J.

• Institute of Geophysics, Polish Academy of Sciences, Księcia Janusza 64, 01-452 Warsaw, Poland

autor

Doroszkiewicz Joanna

• Institute of Geophysics, Polish Academy of Sciences, Księcia Janusza 64, 01-452 Warsaw, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).