Delenne C., Finaud-Guyot P., Guinot V., Cappelaere Bernard. (2011). Sensitivity of the 1D shallow water equations with source terms : solution method for discontinuous flows. International Journal for Numerical Methods in Fluids, 67 (8), p. 981-1003. ISSN 0271-2091.
Titre du document
Sensitivity of the 1D shallow water equations with source terms : solution method for discontinuous flows
Delenne C., Finaud-Guyot P., Guinot V., Cappelaere Bernard
Source
International Journal for Numerical Methods in Fluids, 2011,
67 (8), p. 981-1003 ISSN 0271-2091
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.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
;
Hydrologie [062]
