The goal of this paper is to model and simulate the transport of ions through a miniaturised drift tube of ion mobility spectrometer (IMS). In the first part of this work we test and compare three numerical methods to solve the transient diffusion-advection equation in high Peclet conditions. These methods are the following: Streamline upwind Petrov Galerkin (SUPG), the modified-PDE (MPDE) and the finite calculus method (FIC). In the second part we use the last two numerical methods to study ion transport in a one-dimensional IMS model. Ion peak broadening effects, namely coulombic repulsion, diffusion, transport of two ionic species, have been explored for different initial conditions.
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