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Experience in Numerical Hydrodynamic Simulation of Long River Reaches

  • MATHEMATICAL MODELS IN SOLVING PROBLEMS OF LAND HYDROLOGY
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Abstract

The article formulates the main requirements to numerical algorithms for hydrodynamic 2D-modeling of long and very long river segments with lengths of up to several thousand kilometers. The main feature is the use of adaptive unstructured mesh along with algorithms that give correct values of water surface elevations on coarse mesh, taking into account abrupt changes of bed elevations. A hydrodynamic model of a segment of the Amur R. with a total length of >3 thous. km is presented, which is based on a numerical solution of two-dimensional shallow-water equations (Saint-Venant) by a new high-accuracy algorithm, taking into account road and protection structures in the floodplain. The stages of model construction and verification are described, and the results of calculations for an extraordinary flood in 2013 and a high flood in 2020 are given. Water levels (with estimates of their errors) and the rates of water discharge at gages are given along with flow fields and the inundation zones of floodplain areas.

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Funding

The study was carried out under Governmental Order to Water Problems Institute, Russian Academy of Sciences, subject FMWZ-2022-0003 “Developing Numerical Models of Hydrological, Hydrodynamic, and Hydrochemical Processes in Water Bodies and their Drainage Basins; the Use of These Models to Develop Decision Support Technologies in the Field of Water Safety for Information Modernization of the Water Management Branch in Russia.”

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Authors and Affiliations

  1. Water Problems Institute, Russian Academy of Sciences, 119333, Moscow, Russia

    V. V. Belikov, A. I. Aleksyuk, N. M. Borisova, E. S. Vasil’eva & A. V. Glotko

  2. Moscow State University of Civil Engineering, 129337, Moscow, Russia

    A. V. Glotko

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  1. V. V. Belikov
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  2. A. I. Aleksyuk
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  3. N. M. Borisova
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  4. E. S. Vasil’eva
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  5. A. V. Glotko
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Correspondence to V. V. Belikov or E. S. Vasil’eva.

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Belikov, V.V., Aleksyuk, A.I., Borisova, N.M. et al. Experience in Numerical Hydrodynamic Simulation of Long River Reaches. Water Resour 50, 465–481 (2023). https://doi.org/10.1134/S0097807823040036

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  • DOI: https://doi.org/10.1134/S0097807823040036

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