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Numerical gradient methods for flux identification in a system of conservation laws |
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| Authors: | François James Marie Postel |
| Affiliation: | (1) Mathématiques, Applications et Physique Mathématique d’Orléans, CNRS UMR 6628, Fédération Denis Poisson, CNRS FR 2964, Université d’Orléans, BP 6759, 45067 Orléans Cedex 2, France;(2) Laboratoire Jacques-Louis Lions, CNRS UMR 7598, Université Pierre et Marie Curie, BC 187, 75252 Paris Cedex 05, France |
| Abstract: | The identification of the flux for a system of conservation laws is studied from a numerical point of view, on the specific example of chromatography. Different strategies to compute the exact gradient of the discretized optimization problem are developed and compared. Numerical evidence of the convergence of the method is also given in the scalar and binary case. Finally a ternary mixture with real experimental data is studied and the identified isotherm is compared with results obtained by chemical engineers. |
| Keywords: | Chromatography Discrete gradient method Flux identification Hyperbolic systems of conservation laws Measure-valued solutions |
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