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Information Journal Paper

Title

Flood Routing using Muskingum Model with Fractional Derivative

Pages

  1667-1676

Abstract

 The existing Muskingum models vary only in the form of the storage equation. So far, for accounting the nonlinearity characteristic of flood wave, the form of the storage equation has been modified based on the experience and in a trial and error manner in order to capture the overall flood propagating characteristics more accurately. One of the theoretical based method for considering the nonlinear characteristics in Muskingum model is to use the Fractional derivative in the continuity differential equation. This study presents a new Muskingum model in which the linear storage equation and the continuity equation with Fractional derivative are used. As shown in this study, the new model can simulate flood waves with both linear and nonlinear behaviors. The proposed Muskingum model with Fractional derivative order was implemented and tested on three different sets of flood data. The results of this study indicate that the proposed Muskingum model improves the results and estimates the flood wave characteristics more accurately than the traditional linear Muskingum models.

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    APA: Copy

    BAYRAMI, MIRMOHAMMAD, VATANKHAH, ALIREZA, & NAZI GHAMESHLOU, AREZOO. (2019). Flood Routing using Muskingum Model with Fractional Derivative. IRANIAN JOURNAL OF SOIL AND WATER RESEARCH, 50(7 ), 1667-1676. SID. https://sid.ir/paper/225681/en

    Vancouver: Copy

    BAYRAMI MIRMOHAMMAD, VATANKHAH ALIREZA, NAZI GHAMESHLOU AREZOO. Flood Routing using Muskingum Model with Fractional Derivative. IRANIAN JOURNAL OF SOIL AND WATER RESEARCH[Internet]. 2019;50(7 ):1667-1676. Available from: https://sid.ir/paper/225681/en

    IEEE: Copy

    MIRMOHAMMAD BAYRAMI, ALIREZA VATANKHAH, and AREZOO NAZI GHAMESHLOU, “Flood Routing using Muskingum Model with Fractional Derivative,” IRANIAN JOURNAL OF SOIL AND WATER RESEARCH, vol. 50, no. 7 , pp. 1667–1676, 2019, [Online]. Available: https://sid.ir/paper/225681/en

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