@article{fdi:010054084,
  title = {{S}ensitivity of the 1{D} shallow water equations with source terms : solution method for discontinuous flows},
  author = {{D}elenne, {C}. and {F}inaud-{G}uyot, {P}. and {G}uinot, {V}. and {C}appelaere, {B}ernard},
  editor = {},
  language = {{ENG}},
  abstract = {{A} finite volume-based numerical technique is presented concerning the sensitivity of the solution of the one-dimensional {S}hallow {W}ater {E}quations with scalar transport. {A}n approximate {R}iemann solver is proposed for direct sensitivity calculation even in the presence of discontinuous solutions. {T}he {S}hallow {W}ater {S}ensitivity {E}quations are first derived as well as the expressions of the sensitivity source terms, initial and boundary conditions. {T}he 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). {T}he application of the dam-break problem to a trapezoidal channel is also provided. {T}he comparison with the analytical solution and the classical empirical approach illustrates the usefulness of the direct sensitivity calculation.},
  keywords = {shallow water equations ; sensitivity ; finite volume ; {R}iemann solver ; source terms ; initial and boundary conditions},
  booktitle = {},
  journal = {{I}nternational {J}ournal for {N}umerical {M}ethods in {F}luids},
  volume = {67},
  numero = {8},
  pages = {981--1003},
  ISSN = {0271-2091},
  year = {2011},
  DOI = {10.1002/fld.2398},
  URL = {https://www.documentation.ird.fr/hor/fdi:010054084},
}