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Non-linear diffusive flood routing - MaRDI portal

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Non-linear diffusive flood routing (Q1073687)

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scientific article; zbMATH DE number 3945762
Language Label Description Also known as
English
Non-linear diffusive flood routing
scientific article; zbMATH DE number 3945762

    Statements

    title
    Non-linear diffusive flood routing (English)
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    author
    B. George
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    publication date
    1986
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    review text
    A flood routing model based on a non-linear diffusion-convection equation is presented. Simplifying assumptions are made regarding the river geometry, and for the initial and boundary conditions. Solutions of the non-linear equation are discussed in terms of applicability and compared to solutions of the corresponding linearized equation. Stability aspects are investigated and two different numerical schemes are examined. Finally, results are compared to prototype observations, and the computation procedure is explained in detail.
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    zbMATH Keywords
    single-peaked flood waves
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    shallow trapezoidal channel
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    kinematic wave approximation
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    river hydraulic
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    initial conditions
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    flood routing model
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    non-linear diffusion-convection equation
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    river geometry
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    boundary conditions
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    linearized equation
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    numerical schemes
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    Identifiers

    DOI
    10.1007/BF01176352
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    Mathematics Subject Classification ID
    76R99
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    76M99
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    86A05
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    zbMATH DE Number
    3945762
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