Direct sensitivity computation for the Saint-Venant equations with hydraulic jumps
Résumé
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.
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