Modelling multicomponent adsorption process by a moving finite element method

Mathematical models involving partial differential equations (PDE) are widely used to describe many important chemical engineering problems. Here we focus our attention on a strategy to deal with systems of PDE whose solutions have contact discontinuities or shock-moving fronts. The solutions are calculated using Galerkinʹs method with piecewise polynomial of arbitrary degree basis in space. These basis functions are themselves time dependent through the time dependence of the nodal position. To show the capability and effectiveness of our scheme we apply the moving finite element method(MFEM) with piecewise polynomial of arbitrary degree to simulate a binary chromatographic process.