Sensitivity computations of the viscous kinematic wave using perturbative methods
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 derive...
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| Autores principales: | , , |
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| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03928764_v21_n1_p85_Fraidenraich |
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| Sumario: | 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. |
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