Discontinuous Galerkin scheme for solving non-isothermal and non-equilibrium model of liquid chromatography

Abstract

A total variation bounded (TVB) Runge–Kutta local-projection discontinuous Galerkin (RK-LDG) finite element method is applied for numerically approximating the non-isothermal and non-equilibrium model of liquid chromatography. The model comprises a system of convection-diffusion partial differential equations (PDEs) coupled with algebraic and ordinary differential equations (ODEs). The suggested numerical scheme is explicit in nature and has the potential to capture sharp peaks and abrupt changes in the solution profiles. A number of case studies are carried out for single and two-component elution. The influence of temperature on the column efficiency and separation of mixture components is analyzed. Furthermore, important parameters are identified that influence the performance of the column. The results of the proposed method are authenticated against the high-resolution finite-volume scheme (HR-FVS).