Sensitivity analysis of shallow water problems via perturbative methods



Título del documento: Sensitivity analysis of shallow water problems via perturbative methods
Revue: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Base de datos: PERIÓDICA
Número de sistema: 000312327
ISSN: 1678-5878
Autores: 1

2
Instituciones: 1Universidad de Buenos Aires, Facultad de Ingeniería, Buenos Aires. Argentina
2Comissao Nacional de Energia Nuclear, Centro Regional de Ciencias Nucleares do Nordeste, Recife, Pernambuco. Brasil
Año:
Periodo: Jul-Sep
Volumen: 28
Número: 3
Paginación: 286-292
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental
Resumen en inglés We applied the perturbative theory to perform sensitivity analysis of the shallow water equations. The numerical solution of these equations was found via the mass lumping finite element technique. Then, the adjoint system of the shallow water equations was derived for the one-dimensional case and the expression of the sensitivity coefficient of a generic functional with respect to a generic parameter (Chézy resistance coefficient, solitary wave amplitude and bed channel slope) was obtained, using the differential formalism. The sensitivity of the mean functional, representing the first approximation of the velocity and the depth, was analyzed with regard to these parameters. Results of the sensitivity coefficients obtained via the perturbative methodology satisfactorily matched the values computed by the direct method, i.e., by means of the direct solution of the shallow water equations changing the values of input parameters for each case considered
Disciplinas: Ingeniería
Palabras clave: Ingeniería hidráulica,
Ingeniería mecánica,
Aguas someras,
Análisis de sensibilidad,
Ecuaciones de aguas someras,
Metodo perturbativo,
Flujo,
Canales
Keyword: Engineering,
Hydraulic engineering,
Mechanical engineering,
Shallow waters,
Sensitivity analysis,
Shallow water equations,
Perturbative method,
Mass lumping technique,
Wave propagation,
Channels,
Flow
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