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

This work continues our previous analysis concerning the performances of the nonlinear multigrid (the Full Approximation Storage algorithm) method and modified Picard preconditioned conjugate gradient methods for the numerical solution of the two-dimensional, steady-state, multicomponent mass transf...

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Vydáno v:Numerical heat transfer. Part A, Applications Ročník 66; číslo 11; s. 1297 - 1319
Hlavní autoři: Juncu, Gheorghe, Nicola, Aurelian, Popa, Constantin, Stroila, Elena
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis Group 01.12.2014
Taylor & Francis Ltd
Témata:
Algorithms
Approximation
Conjugate gradient method
Finite difference method
Fluid dynamics
Heat transfer
Mass transfer
Mathematical analysis
Mathematical models
Multigrid methods
Nonlinearity
Numerical analysis
ISSN:1040-7782, 1521-0634
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Shrnutí:This work continues our previous analysis concerning the performances of the nonlinear multigrid (the Full Approximation Storage algorithm) method and modified Picard preconditioned conjugate gradient methods for the numerical solution of the two-dimensional, steady-state, multicomponent mass transfer equations. The present test problems are steady-state, linear and nonlinear, convection-diffusion-reaction equations. The upwind finite difference method was used to discretize the mathematical model equations. The numerical results obtained show good numerical performances.
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ISSN:1040-7782
1521-0634
DOI:10.1080/10407782.2014.915669