A continuous numerical flow model is introduced. The flow consists of a liquid and a sediment phase. The sediment is modeled as a continuum and consists of several particle fractions and sizes. The momentum equations are solved numerically with the fractional step method. The equations are discretized using the Finite Volume Method with a collocated scheme. The fraction velocities are obtained by transport equations. Hindered settlement is taken into account. A Bingham model is used describing the sediment bed. An analytical solution is compared with the numerical calculation for a Bingham material. Finally an erosion case is presented and discussed.

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