Delenne C. auteur aut IRD Finaud-Guyot P. auteur aut IRD Guinot V. auteur aut IRD Cappelaere Bernard auteur aut IRD text journalArticle eng text/pdf born digital access A finite volume-based numerical technique is presented concerning the sensitivity of the solution of the one-dimensional Shallow Water Equations with scalar transport. An approximate Riemann solver is proposed for direct sensitivity calculation even in the presence of discontinuous solutions. The Shallow Water Sensitivity Equations are first derived as well as the expressions of the sensitivity source terms, initial and boundary conditions. The numerical technique is then detailed and application examples are provided to assess the method's efficiency in estimating the sensitivity to different parameters (friction coefficient and initial and boundary conditions). The application of the dam-break problem to a trapezoidal channel is also provided. The comparison with the analytical solution and the classical empirical approach illustrates the usefulness of the direct sensitivity calculation. specialized shallow water equations sensitivity finite volume Riemann solver source terms initial and boundary conditions 020 062 67 8 981-1003 2011 0271-2091 https://www.documentation.ird.fr/hor/fdi:010054084 10.1002/fld.2398 0271-2091 [F B010054084] https://www.documentation.ird.fr/hor/fdi:010054084 https://www.documentation.ird.fr/intranet/publi/2011/11/010054084.pdf Accès réservé (Intranet de l'IRD) IRD - Base Horizon / Pleins textes 2011-11-30 2021-01-24 fdi:010054084 fre