A stabilized finite element method for the numerical simulation of multi-ion transport in electrochemical systems

A stabilized finite element method for the simulation of instationary and stationary multi-ion transport in dilute electrolyte solutions is presented. The proposed computational approach accounts for all three ion-transport phenomena, that is, convection, diffusion and migration, as well as nonlinea...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Computer methods in applied mechanics and engineering Ročník 223-224; s. 199 - 210
Hlavní autoři:	Bauer, Georg, Gravemeier, Volker, Wall, Wolfgang A.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Kidlington Elsevier B.V 01.06.2012 Elsevier
Témata:	Algebra Chemistry Computation Computational electrochemistry Computational methods in fluid dynamics Computer simulation Convection and heat transfer Electrochemical systems Electrochemistry Electrolyte solution Exact sciences and technology Finite element method Fluid dynamics Fundamental areas of phenomenology (including applications) General and physical chemistry General theory Ion transport Mathematical analysis Mathematical models Multiscale methods Physics Properties of electrolytes: conductivity Stabilized finite element method Transport Turbulent flows, convection, and heat transfer Variational multiscale method Ion transport Variational multiscale method Stabilized finite element method Electrochemical systems Electrolyte solution Computational electrochemistry Partial differential equations Stabilization Convection diffusion equation Finite element method Dilute solution Variational calculus Modelling Chemistry computing Stresses Digital simulation Boundary conditions Stationary condition Galerkin-Petrov method Electrochemical properties Ion mobility Multiscale method Electrochemistry Transport processes Kinetics Non linear effect
ISSN:	0045-7825, 1879-2138
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
Shrnutí:	A stabilized finite element method for the simulation of instationary and stationary multi-ion transport in dilute electrolyte solutions is presented. The proposed computational approach accounts for all three ion-transport phenomena, that is, convection, diffusion and migration, as well as nonlinear electrode kinetics boundary conditions. The governing equations form a set of coupled nonlinear partial differential equations subject to an electroneutrality condition. The latter establishes an algebraic constraint to the problem formulation. Derived from the variational multiscale method, we introduce stabilization terms which prevent potential spurious oscillations arising in the convection-dominated case when a standard Galerkin finite element method is used. For various numerical examples, it is demonstrated that the proposed computational method is robust and provides accurate results.
Bibliografie:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0045-7825 1879-2138
DOI:	10.1016/j.cma.2012.02.003