Two-Dimensional Numerical Model for Scalar Transport by Finite Volume Method on Unstructured Grid

Abstract

Based on arbitrarily unstructured shallow water current model and finite volume method, a high-order non-oscillatory transport model is constructed. The stability and non-oscillatory condition of the transport model are also analyzed in theory. Usually, the maximum allowable time steps of current model and transport model are different, so an unsynchronized technique is used for the flow and the transport model computations to improve computational efficiency. In addition, the conservation of transport model during the unsynchronized computation is ensured by the time integration of currents continuity equation. Apply this model to the salinity transport simulation of Oujiang estuary, numerical results show that the water level, velocity and salinity agree well with the measured data.