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In this paper, we present splitting algorithms to solve multicomponenttransport models with Maxwell-Stefan-diffusion approaches. The multicomponentmodels are related to transport problems, while we consider plasma processes,in which the local thermodynamic equilibrium and weakly ionized plasma-mixturemodels are given. Such processes are used for medical and technicalapplications. These multi-component transport modelling equations are relatedto convection-diffusion-reactions equations, which are wel-known in transportprocesses. The multicomponent transport models can be derived from themicroscopic multi-component Boltzmann equations with averaging quantities andleads into the macroscopic mass, momentum and energy equations, which arenearly Navier-Stokes-like equations. We discuss the benefits of thedecomposition into the convection, diffusion and reaction parts, which allowsto use fast numerical solvers for each part. Additional, we concentrate on thenonlinear parts of the multicomponent diffusion, which can be effectivelysolved with iterative splitting approaches In the numerical experiments, we seethe benefit of combining iterative splitting methods with nonlinear solvermethods, while these methods can relax the nonlinear terms. In the outview, wediscuss the future investigation of the next steps in our multicomponentdiffusion approaches.

Splitting Approach for Solving Multi-Component Transport Models with Maxwell-Stefan-Diffusion