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Abstract:

We applied the disturbance theory to perform sensitivity computations of the viscous kinematic wave equation to shallow water problems. The numerical solution of the equation was found via the SUPG finite element technique. Then, the adjoint equation of the viscous kinematic wave equation was derived for the one-dimensional case and the expression of the coefficient of sensitivity of a generic functional related to a generic parameter was obtained. The sensitivity of the mean functional solution (representing the first approximation of the cross-section) was analyzed with regard to the following parameters: frictional coefficient, channel slope and width of the cross-section of the rectangular channel. Results of the sensitivity coefficient obtained via the perturbative methodology satisfactorily matched the same values calculated by the direct method, that is, by means of the direct solution of the kinematic wave equation changing the values of input parameters.

Registro:

Documento: Artículo
Título:Sensitivity computations of the viscous kinematic wave using perturbative methods
Autor:Fraidenraich, A.; Jacovkis, P.M.; De Andrade Lima, F.R.
Filiación:Departamento de Matemática, Facultad de Ingeniería, Universidad de Buenos Aires, Av. Paseo Colón 850, (1063) Buenos Aires, Argentina
Departamento de Computación, Facultad Ciencias Exactas Naturales, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina
Centro Regional Ciencias Nucleares, Comissao Nacional de Energia Nuclear, Rua Cônego Barata, 999, Tamarineira, 52110-120, Recife PE, Brazil
Palabras clave:Algorithms; Galerkin methods; Linear equations; Partial differential equations; Perturbation techniques; Wave equations; Nonlinear Burgers equation; Perturbative methods; Saint-Venant hydrodynamic equations; Viscous kinematic wave; Kinematics
Año:2003
Volumen:21
Número:1
Página de inicio:85
Página de fin:92
Título revista:International Journal of Heat and Technology
Título revista abreviado:Int. J. Heat Technol.
ISSN:03928764
CODEN:HETEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p85_Fraidenraich

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Citas:

---------- APA ----------
Fraidenraich, A., Jacovkis, P.M. & De Andrade Lima, F.R. (2003) . Sensitivity computations of the viscous kinematic wave using perturbative methods. International Journal of Heat and Technology, 21(1), 85-92.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p85_Fraidenraich [ ]
---------- CHICAGO ----------
Fraidenraich, A., Jacovkis, P.M., De Andrade Lima, F.R. "Sensitivity computations of the viscous kinematic wave using perturbative methods" . International Journal of Heat and Technology 21, no. 1 (2003) : 85-92.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p85_Fraidenraich [ ]
---------- MLA ----------
Fraidenraich, A., Jacovkis, P.M., De Andrade Lima, F.R. "Sensitivity computations of the viscous kinematic wave using perturbative methods" . International Journal of Heat and Technology, vol. 21, no. 1, 2003, pp. 85-92.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p85_Fraidenraich [ ]
---------- VANCOUVER ----------
Fraidenraich, A., Jacovkis, P.M., De Andrade Lima, F.R. Sensitivity computations of the viscous kinematic wave using perturbative methods. Int. J. Heat Technol. 2003;21(1):85-92.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p85_Fraidenraich [ ]