SciELO - Scientific Electronic Library Online

vol.28 número3Influence of loading, contamination and additive on the wear of a metallic pair under rotating and reciprocating lubricated slidingMultimodal vibration damping through piezoelectric patches and optimal resonant shunt circuits índice de autoresíndice de assuntospesquisa de artigos
Home Pagelista alfabética de periódicos  

Serviços Personalizados




Links relacionados


Journal of the Brazilian Society of Mechanical Sciences and Engineering

versão impressa ISSN 1678-5878versão On-line ISSN 1806-3691


FRAIDENRAICH, Ariel; JACOVKIS, Pablo M.  e  LIMA, Fernando Roberto de A.. Sensitivity analysis of shallow water problems via perturbative methods. J. Braz. Soc. Mech. Sci. & Eng. [online]. 2006, vol.28, n.3, pp.286-292. ISSN 1678-5878.

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.

Palavras-chave : Sensitivity analysis; shallow water equations; perturbative methods; mass lumping technique.

        · texto em Inglês     · Inglês ( pdf )


Creative Commons License Todo o conteúdo deste periódico, exceto onde está identificado, está licenciado sob uma Licença Creative Commons