Electrochemical modelling using electroneutrality equation as a constraint

作者: Frédérick Gagnon , Donald Ziegler , Mario Fafard

DOI: 10.1007/S10800-014-0662-6

关键词: Lagrange multiplierBalance equationNonlinear systemApplied mathematicsFinite element methodMass balanceMathematicsVariational methodCharge conservationBoundary value problem

摘要: This paper deals with ionic species migration based on classical mass balance equations in conjunction a charge equation and the electroneutrality condition. Two new methods are proposed to apply condition, avoiding elimination of one conservation chemical permitting explicitly boundary conditions all species. The first method is variational principles second Lagrange multiplier. It shown that analytically equivalent more standard which eliminated without any other consideration. complex implement than multiplier method. were applied multi-ionic problem together capacitive effects. Different kinds applied: Neumann, Dirichlet nonlinear case Butler–Volmer kinetics. All gave same results for non-complex problems. In problems including equilibrium between each species, it was found investigations necessary even conventional methods.

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