Splitting Methods For Solving Multi-Component Transport Model: A Multicomponent Mixture for Hydrogen Plasma

Autor:	Geiser, Juergen
Rok vydání:	2019
Předmět:	Mathematics - Analysis of PDEs Mathematics - Dynamical Systems Physics - Fluid Dynamics 35K25 35K20 74S10 70G65
Druh dokumentu:	Working Paper
Popis:	In this paper, we present a splitting algorithm to solve multicomponent transport models. These models are related to plasma simulations, in which we consider the local thermodynamic equilibrium and weakly ionised plasma-mixture models that are used for medical and technical applications in etching processes. These multi-component transport-mixture models can be derived by approximately solving a linearised multi-component Boltzmann equation with an approximation of the collision terms in the mass, momentum and energy equations. The model-equations are nonlinear partial differential equations and they are known as Stefan-Maxwell equations. However, these partial differential equations are delicate to solve and we propose to use noniterative and iterative splitting methods. In the numerical experiments, we see the benefit of the iterative splitting methods, while these methods can relax the nonlinear terms. Comment: 31 pages, 15 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.03226 Zobrazit plný text záznamu View this record from Arxiv