Preconditioned Conjugate Gradient and Multigrid Methods for Numerical Solution of Multicomponent Mass Transfer Equations I. Diffusion-Reaction Equations

2014 ◽  
Vol 66 (11) ◽  
pp. 1268-1296 ◽  
Author(s):  
Gheorghe Juncu ◽  
Aurelian Nicola ◽  
Constantin Popa ◽  
Elena Stroila
Keyword(s):  
Mass Transfer ◽  
Numerical Solution ◽  
Conjugate Gradient ◽  
Multigrid Methods ◽  
Diffusion Reaction ◽  
Preconditioned Conjugate Gradient ◽  
Transfer Equations ◽  
Multicomponent Mass Transfer ◽  
Reaction Equations

Numerical solution of nonequilibrium multicomponent mass transfer operations

AIChE Journal ◽  
1981 ◽  
Vol 27 (6) ◽  
pp. 968-974 ◽  
Author(s):  
D. S. Billingsley ◽  
Arun Chirachavala
Keyword(s):  
Mass Transfer ◽  
Numerical Solution ◽  
Multicomponent Mass Transfer

scholarly journals On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems

2021 ◽  
Vol 29 (3) ◽  
pp. 183-200
Author(s):  
Gh. Juncu ◽  
C. Popa ◽  
Gh. Sarbu
Keyword(s):  
Numerical Solution ◽  
Picard Iteration ◽  
Diffusion Reaction ◽  
Preconditioned Conjugate Gradient ◽  
Test Problems ◽  
Time Step ◽  
Linear Diffusion ◽  
Conjugate Gradient Algorithms ◽  
Non Linear ◽  
Non Linear System

Abstract This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference method was used to discretize the mathematical model equations. The algorithm used to solve the non-linear system resulted for each time step is the modified Picard iteration. The numerical performances of the preconditioned conjugate gradient algorithms (BICGSTAB and GMRES) in solving the linear systems of the modified Picard iteration were analysed in detail. The numerical results obtained show good numerical performances.

Aerosol Uptake Described by Numerical Solution of the Diffusion−Reaction Equations in the Particle

2003 ◽  
Vol 107 (45) ◽  
pp. 9582-9587 ◽  
Author(s):  
Geoffrey D. Smith ◽  
Ephraim Woods ◽  
Tomas Baer ◽  
Roger E. Miller
Keyword(s):  
Numerical Solution ◽  
Diffusion Reaction ◽  
Reaction Equations
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