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: Fraidenraich, A., Jacovkis, P.M., De Andrade Lima, F.R.
Formato: JOUR
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03928764_v21_n1_p85_Fraidenraich
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03928764_v21_n1_p85_Fraidenraich
record_format dspace
spelling todo:paper_03928764_v21_n1_p85_Fraidenraich2023-10-03T15:33:55Z Sensitivity computations of the viscous kinematic wave using perturbative methods Fraidenraich, A. Jacovkis, P.M. De Andrade Lima, F.R. 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 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03928764_v21_n1_p85_Fraidenraich
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 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
spellingShingle 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
Fraidenraich, A.
Jacovkis, P.M.
De Andrade Lima, F.R.
Sensitivity computations of the viscous kinematic wave using perturbative methods
topic_facet 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
description 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.
format JOUR
author Fraidenraich, A.
Jacovkis, P.M.
De Andrade Lima, F.R.
author_facet Fraidenraich, A.
Jacovkis, P.M.
De Andrade Lima, F.R.
author_sort Fraidenraich, A.
title Sensitivity computations of the viscous kinematic wave using perturbative methods
title_short Sensitivity computations of the viscous kinematic wave using perturbative methods
title_full Sensitivity computations of the viscous kinematic wave using perturbative methods
title_fullStr Sensitivity computations of the viscous kinematic wave using perturbative methods
title_full_unstemmed Sensitivity computations of the viscous kinematic wave using perturbative methods
title_sort sensitivity computations of the viscous kinematic wave using perturbative methods
url http://hdl.handle.net/20.500.12110/paper_03928764_v21_n1_p85_Fraidenraich
work_keys_str_mv AT fraidenraicha sensitivitycomputationsoftheviscouskinematicwaveusingperturbativemethods
AT jacovkispm sensitivitycomputationsoftheviscouskinematicwaveusingperturbativemethods
AT deandradelimafr sensitivitycomputationsoftheviscouskinematicwaveusingperturbativemethods
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