Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology

2009 ◽  
Vol 49 (1) ◽  
pp. 149-178 ◽  
Author(s):  
Chamakuri Nagaiah ◽  
Karl Kunisch ◽  
Gernot Plank
Keyword(s):  
Optimal Control ◽  
Numerical Solution ◽  
Cardiac Electrophysiology ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations

Modelling the Oxidative Dissolution of UO2

1999 ◽  
Vol 556 ◽  
Author(s):  
Fraser King ◽  
Miroslav Kolar ◽  
David W. Shoesmith
Keyword(s):  
Mass Transport ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Reaction Diffusion ◽  
Underlying Mechanism ◽  
Corrosion Products ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Redox Processes ◽  
Oxidative Dissolution

AbstractAn electrochemically based model for predicting the effects of α-radiolysis, the precipitation of U(VI) corrosion products and redox processes with Fe and Fe(II) on the dissolution of UO2 is described. Various aspects of the model are presented, including: the underlying mechanism, the reaction-diffusion equations used to describe the mass transport and homogeneous reactions of the various species considered in the model, the geometrical grid used to simulate both experimental and used fuel/container geometries and the electrochemical boundary conditions used for the numerical solution of the reaction-diffusion equations. The results of preliminary simulations are also discussed.

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