This Note presents a new Riemann solver for the Saint-Venant equations in conjunction with the sensitivity problem when the solutions are discontinuous. The solver is based on the a priori assumption of two rarefaction waves. The presence of shocks is detected a posteriori and an extra sensitivity term in the form of a Dirac source term is accounted for in the sensitivity balance equations.
On propose ici un solveur de Riemann pour résoudre les équations de sensibilité conjointement à la projection sur une dimension des équations de Saint-Venant dans le cas de solutions discontinues. Le solveur est basé sur la supposition a priori de deux ondes de raréfaction. La présence de chocs est détectée a posteriori et un terme supplémentaire, sous la forme d'un terme source de Dirac, est introduit dans l'équilibre des équations de sensibilité.
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Mots-clés : Mécanique des fluides numérique, Sensibilités, Lois de conservation hyperboliques, Chocs
Carole Delenne 1; Vincent Guinot 1; Bernard Cappelaere 1
@article{CRMECA_2008__336_10_766_0,
author = {Carole Delenne and Vincent Guinot and Bernard Cappelaere},
title = {Direct sensitivity computation for the {Saint-Venant} equations with hydraulic jumps},
journal = {Comptes Rendus. M\'ecanique},
pages = {766--771},
publisher = {Elsevier},
volume = {336},
number = {10},
year = {2008},
doi = {10.1016/j.crme.2008.09.006},
language = {en},
}
TY - JOUR AU - Carole Delenne AU - Vincent Guinot AU - Bernard Cappelaere TI - Direct sensitivity computation for the Saint-Venant equations with hydraulic jumps JO - Comptes Rendus. Mécanique PY - 2008 SP - 766 EP - 771 VL - 336 IS - 10 PB - Elsevier DO - 10.1016/j.crme.2008.09.006 LA - en ID - CRMECA_2008__336_10_766_0 ER -
%0 Journal Article %A Carole Delenne %A Vincent Guinot %A Bernard Cappelaere %T Direct sensitivity computation for the Saint-Venant equations with hydraulic jumps %J Comptes Rendus. Mécanique %D 2008 %P 766-771 %V 336 %N 10 %I Elsevier %R 10.1016/j.crme.2008.09.006 %G en %F CRMECA_2008__336_10_766_0
Carole Delenne; Vincent Guinot; Bernard Cappelaere. Direct sensitivity computation for the Saint-Venant equations with hydraulic jumps. Comptes Rendus. Mécanique, Volume 336 (2008) no. 10, pp. 766-771. doi : 10.1016/j.crme.2008.09.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.09.006/
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