Sensitivity analysis of shallow water problems via perturbative methods

AUTOR(ES)

Fraidenraich, Ariel, Jacovkis, Pablo M., Lima, Fernando Roberto de A.

FONTE

Journal of the Brazilian Society of Mechanical Sciences and Engineering

DATA DE PUBLICAÇÃO

2006-09

RESUMO

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.

Documentos Relacionados

• Sensitivity computations using first and second orders perturbative methods for the advection-diffusion-reaction model of pollutant transport
• Applications of perturbative methods for sensitivity analysis of two phase FLOWs
• Multiobjective engineering design optimization problems: a sensitivity analysis approach
• The use of the perturbative methods for the sensi-tivity analysis in hyperthermic problems caused by the laser sources in the treatment of tumors
• Sensitivity analysis of the ECAE process via 2k experiments design