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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Published in:Numerical heat transfer. Part A, Applications Vol. 66; no. 11; pp. 1297 - 1319
Main Authors: Juncu, Gheorghe, Nicola, Aurelian, Popa, Constantin, Stroila, Elena
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis Group 01.12.2014
Taylor & Francis Ltd
Subjects:
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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Abstract 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.
AbstractList 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.
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-diffusionreaction equations. The upwind finite difference method was used to discretize the mathematical model equations. The numerical results obtained show good numerical performances.
Author Popa, Constantin
Nicola, Aurelian
Juncu, Gheorghe
Stroila, Elena
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  givenname: Aurelian
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  surname: Popa
  fullname: Popa, Constantin
  organization: Department of Mathematics , Ovidius University
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  givenname: Elena
  surname: Stroila
  fullname: Stroila, Elena
  organization: Research Center for Navy
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crossref_primary_10_1080_10407782_2016_1257287
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Snippet This work continues our previous analysis concerning the performances of the nonlinear multigrid (the Full Approximation Storage algorithm) method and modified...
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SubjectTerms Algorithms
Approximation
Conjugate gradient method
Finite difference method
Fluid dynamics
Heat transfer
Mass transfer
Mathematical analysis
Mathematical models
Multigrid methods
Nonlinearity
Numerical analysis
Title Preconditioned Conjugate Gradient and Multigrid Methods for Numerical Solution of Multicomponent Mass Transfer Equations II. Convection-Diffusion-Reaction Equations
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