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Abstract:

A general kinematic wave model for flood propagation is presented in the form of a scalar conservation law. The corresponding flux function is convex or nearly convex for regular cross-sections of the river. In the presence of pronounced irregularities, however, convexity may fail. Qualitative consequences of the shape of the flux function for typical irregularities are discussed, particularly for rivers with flood plains and rivers trapped in canyons.

Registro:

Documento: Artículo
Título:A kinematic wave model for rivers with flood plains and other irregular geometries
Autor:Jacovkis, P.M.; Tabak, E.G.
Filiación:Inst. de Calculo and Depto. de C., Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Courant Inst. of Math. Sciences, NYU, 251 Mercer Street, New York, NY 10012, United States
Palabras clave:Conservation laws; Flood plains; Flood waves; Kinematic waves
Año:1996
Volumen:24
Número:11
Página de inicio:1
Página de fin:21
DOI: http://dx.doi.org/10.1016/S0895-7177(96)00169-0
Título revista:Mathematical and Computer Modelling
Título revista abreviado:MATH. COMPUT. MODEL.
ISSN:08957177
CODEN:MCMOE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_08957177_v24_n11_p1_Jacovkis.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08957177_v24_n11_p1_Jacovkis

Referencias:

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  • Liggett, J.-A., Cunge, J.-A., Numerical methods of solutions of unsteady flow equations (1975) Unsteady Flow in Open Channels, 1, pp. 89-178. , (Edited by K. Mahmood and V. Yevjevich), Water Resources Publications, Fort Collins, CO
  • Lighthill, M.J., Whitham, G.B., On kinematic waves I (Flood movements in long rivers) (1955) Proc. Roy. Soc. A, 229, pp. 281-316
  • Borah, D.K., Ashraf, M.S., Neary, V.S., Kinematic wave based hydrologic models with different solution methods (1990) Hydraulic Engineering, pp. 421-426. , (Edited by H.H. Chang and J.C. Hill), ASCE
  • Bradley, A.A., Potter, K.W., Estimating floodplain limits for complicated hydrologic and hydraulic conditions (1993) Engineering Hydrology, pp. 575-580. , (Edited by C.Y. Kuo), ASCE
  • Gradowczyk, M.H., Jacovkis, P.M., Tamusch, A., Díaz, F.M., A hydrological forecasting model of the Uruguay River basin system (1980) Hydrological Forecasting (Proceedings of the Oxford Symposium), pp. 517-524. , IAHS Publ
  • (1985) HEC-1, Flood Hydrograph Package: Users Manual, , Hydrological Engineering Center, Davis, CA
  • Pabst, A.F., Next generation HEC catchment modeling (1993) Engineering Hydrology, pp. 1013-1018. , (Edited by C.Y. Kuo), ASCE, New York
  • Jacovkis, P.M., Modelos hidrodinámicos en cuencas fluviales (1989) Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, 5, pp. 295-320
  • Lax, P., (1973) Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, , Society for Industrial and Applied Mathematics, Philadelphia, PA
  • Ballou, D.P., Solutions to nonlinear hyperbolic Cauchy problems without convexity conditions (1970) Trans. Am. Math. Soc., 152, pp. 441-460
  • Godunov, S.K., A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics (1959) Mat. Sb., 47, pp. 357-393
  • Van Leer, B., Towards the ultimate conservative difference scheme II. Monotonicity and conservation combined in a second order scheme (1974) J. Comp. Phys., 23, pp. 263-275
  • Harten, A., Osher, S., Engquist, B., Chakravarthy, S., Some results on uniformly high-order accurate essentially nonoscillatory schemes (1986) Appl. Numer. Math., 2, pp. 347-377
  • Tabak, E.G., A second order Godunov method on arbitrary grids (1996) J. Comp. Phys., , to appear
  • Smoller, J., (1983) Shock Waves and Reaction-diffusion Equations, , Springer, New York

Citas:

---------- APA ----------
Jacovkis, P.M. & Tabak, E.G. (1996) . A kinematic wave model for rivers with flood plains and other irregular geometries. Mathematical and Computer Modelling, 24(11), 1-21.
http://dx.doi.org/10.1016/S0895-7177(96)00169-0
---------- CHICAGO ----------
Jacovkis, P.M., Tabak, E.G. "A kinematic wave model for rivers with flood plains and other irregular geometries" . Mathematical and Computer Modelling 24, no. 11 (1996) : 1-21.
http://dx.doi.org/10.1016/S0895-7177(96)00169-0
---------- MLA ----------
Jacovkis, P.M., Tabak, E.G. "A kinematic wave model for rivers with flood plains and other irregular geometries" . Mathematical and Computer Modelling, vol. 24, no. 11, 1996, pp. 1-21.
http://dx.doi.org/10.1016/S0895-7177(96)00169-0
---------- VANCOUVER ----------
Jacovkis, P.M., Tabak, E.G. A kinematic wave model for rivers with flood plains and other irregular geometries. MATH. COMPUT. MODEL. 1996;24(11):1-21.
http://dx.doi.org/10.1016/S0895-7177(96)00169-0