Wyniki wyszukiwania dla: MUSKINGUM EQUATION

• Dimensionally Consistent Nonlinear Muskingum Equation

  Publikacja

  • D. Gąsiorowski
  • R. Szymkiewicz

  - JOURNAL OF HYDROLOGIC ENGINEERING - Rok 2018

  Although the Muskingum equation was proposed nearly 75 years ago, it is still a subject of active research. Despite of its simple form, the real properties of this equation have not been comprehensively explained. This paper proposes a new interpretation of the linear McCarthy’s relation. This relation can be interpreted only together with the storage equation, whereas the Muskingum equation can be derived directly from the system...

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• Balance error generated by numerical diffusion in the solution of Muskingum equation

  Publikacja

  • D. Gąsiorowski

  - Rok 2009

  In the paper the conservative properties of the lumped hydrological models with variable parameters are discussed. It is shown that in the case of the non-linear Muskingum equation the mass balance is not satisfied. The study indicates that the mass balance errors are caused by the improper form of equation and by the numerical diffusion which is generated in the solution. It has been shown that the classical way of derivation...

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• Identification of Parameters Influencing the Accuracy of the Solution of the Nonlinear Muskingum Equation

  Publikacja

  • D. Gąsiorowski
  • R. Szymkiewicz

  - WATER RESOURCES MANAGEMENT - Rok 2020

  Two nonlinear versions of the Muskingum equation are considered. The difference between both equations relates to the exponent parameter. In the first version, commonly used in hydrology, this parameter is considered as free, while in the second version, it takes a value resulting from the kinematic wave theory. Consequently, the first version of the equation is dimensionally inconsistent, whereas the proposed second one is consistent. It...

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• Flood Routing by the Non-Linear Muskingum Model: Conservation of Mass and Momentum

  Publikacja

  • D. Gąsiorowski

  - Archives of Hydro-Engineering and Environmental Mechanics - Rok 2009

  In this paper, the conservative properties of the Muskingum equation, commonly applied to solve river flood routing, are analysed. The aim of this analysis is to explain the causes ofthe mass balance error, which is observed in the numerical solutions of its non-linear form. The linear Muskingum model has been considered as a semi-discrete form of the kinematic wave equation and therefore it was possible to derive its two non-linear...

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• Inverse Flood Routing Using Simplified Flow Equations

  Publikacja

  • D. Gąsiorowski
  • R. Szymkiewicz

  - WATER RESOURCES MANAGEMENT - Rok 2022

  The paper considers the problem of inverse flood routing in reservoir operation strategy. The aim of the work is to investigate the possibility of determining the hydrograph at the upstream end based on the hydrograph required at the downstream end using simplified open channel flow models. To accomplish this, the linear kinematic wave equation, the diffusive wave equation and the linear Muskingum equation are considered. To achieve...

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• Equivariant Morse equation

  Publikacja

  • M. Styborski

  - Central European Journal of Mathematics - Rok 2012

  The paper is concerned with the Morse equation for flows in a representation of a compact Lie group. As a consequence of this equation we give a relationship between the equivariant Conley index of an isolated invariant set of the flow given by x˙ = − ∇f(x) and the gradient equivariant degree of ∇f. Some multiplicity results are also presented.

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• Equation of state for Eu-doped SrSi2O2N2

  Publikacja

  • O. Ermakova
  • W. Paszkowicz
  • A. Kaminska
  • J. Barzowska
  • K. Szczodrowski
  • M. Grinberg
  • R. Minikayev
  • M. Nowakowska
  • S. Carlson
  • G. Li... i 2 innych

  - JOURNAL OF CHEMICAL PHYSICS - Rok 2014

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• Approximated boundary conditions of the equation of difussion

  Publikacja

  • P. Zima

  - Archives of Hydro-Engineering and Environmental Mechanics - Rok 2002

  Problem podejmowany w pracy dotyczy warunku brzegowego w równaniach fizyki matematycznej, opisujących procesy migracji zanieczyszczeń. W szczególności skoncentrowano się na badaniu wpływu na rozwiązanie przyjmowanych w rozwiązaniach numerycznych aproksymacji ''odpływowego'' warunku brzegowego w jednowymiarowym równaniu adwekcji - dyspersji. Rozważania teoretyczne przeprowadzono w oparciu o rozwiązania analityczne oraz numeryczne...

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• Functional differential equations

  Publikacja

  • T. Jankowski

  - CZECHOSLOVAK MATHEMATICAL JOURNAL - Rok 2002

  Sformułowano dość ogólne warunki dostateczne na to, aby odpowiednio zdefiniowane ciągi monotoniczne były zbieżne do jedynego, w pewnym segmencie, rozwiązania zagadnienia początkowego dla funkcyjnych równań różniczkowych. Omawiane równanie jest ogólne, a np. zwyczajne równania różniczkowe czy równania różniczkowo-całkowe są jego szczególnymi przypadkami.

• Thermal ablation modeling via bioheat equation

  Publikacja

  • A. Bartłomiejczyk
  • H. Leszczyński
  • A. Poliński

  - Rok 2013

  We consider Pennes’ bioheat equation and discuss an implicit numerical scheme which has better stability properties than other approaches. Our discussion concerns Carthesian geometry problems, however it carries over to spherical geometry models and more complicated shapes.