Mohammed Louaked
Universite de Caen, France

Multiresolution scheme for incompressible model of three-phase flow
In this work the analysis of incompressible three-phase flow systems is studied. A stable numerical method for the model equations based on the flux splitting approach is developed. A usable methodology for reducing the number of numerical flux computations in the multiphase equations is proposed. The multiresolution is based on the analysis of the solution's regularity according to various levels of resolution. Numerical predictions of transient flow problems in pipelines are compared to available experimental data.