Transport modelling by mixed hybrid finite element method - A flux limiter development
A mixed hybrid finite element method was applied to obtain a numerical approximation of the flow and associated transport equations in unsaturated media. The model was developed under the framework of the European Life Environment project ARTWET, which aims to study new treatment potentials for the mitigation of non-point source pesticide pollution in a constructed wetland. The model formulation used is based on Raviart-Thomas space properties, considering a two-dimensional domain divided into triangular elements. In order to control for the difficulties when convection is the dominant process, a flux limiting tool was introduced, although a slope limiter is generally used in the literature. The suggested flux limiting tool makes it possible to preserve precision and unconditional stability at low and very high Peclet numbers.