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A fully adaptive finite volume multiresolution scheme for one-dimensionalstrongly degenerate parabolic equations with discontinuous flux is presented.The numerical scheme is based on a finite volume discretization using theEngquist--Osher approximation for the flux and explicit time--stepping. Anadaptivemultiresolution scheme with cell averages is then used to speed up CPUtime and meet memory requirements. A particular feature of our scheme is thestorage of the multiresolution representation of the solution in a dynamicgraded tree, for the sake of data compression and to facilitate navigation.Applications to traffic flow with driver reaction and a clarifier--thickenermodel illustrate the efficiency of this method.

Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux