On comparing finite difference schemes applied to a nonlinear multi-region heat and mass transfer problem

A three-time-level scheme is employed to obtain numerical solutions of heat and mass transfer potentials for the nonlinear Luikov system. Relative errors are examined when the numerical solutions are compared to the analytical solutions for a single layer linear problem using different finite differ...

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Veröffentlicht in:Computational mechanics Jg. 28; H. 1; S. 55 - 62
1. Verfasser: Lobo, P. D.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Heidelberg Springer 01.02.2002
Berlin Springer Nature B.V
Schlagworte:
Analytical and numerical techniques
Exact sciences and technology
Exact solutions
Finite difference method
Fundamental areas of phenomenology (including applications)
Heat flow in porous media
Heat transfer
Heat transfer in inhomogeneous media, in porous media, and through interfaces
Mass transfer
Physics
Temperature dependence
Thermal conductivity
Viscosity
Temperature distribution
Digital simulation
Moisture
Porous medium
Heat mass transfer
Relative error
Nonlinear problems
Capillar porosity
Comparative study
Finite difference method
ISSN:0178-7675, 1432-0924
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Abstract A three-time-level scheme is employed to obtain numerical solutions of heat and mass transfer potentials for the nonlinear Luikov system. Relative errors are examined when the numerical solutions are compared to the analytical solutions for a single layer linear problem using different finite difference techniques. As a final example, comparisons also are made when the numerical schemes are used to solve a two-layer multi-region nonlinear approach, considering that the thermal conductivity and mass conductivity of the material are dependent on temperature and moisture transfer potential respectively.
AbstractList A three-time-level scheme is employed to obtain numerical solutions of heat and mass transfer potentials for the nonlinear Luikov system. Relative errors are examined when the numerical solutions are compared to the analytical solutions for a single layer linear problem using different finite difference techniques. As a final example, comparisons also are made when the numerical schemes are used to solve a two-layer multi-region nonlinear approach, considering that the thermal conductivity and mass conductivity of the material are dependent on temperature and moisture transfer potential respectively.
Author Lobo, P. D.
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CODEN CMMEEE
CitedBy_id crossref_primary_10_1051_bioconf_202411305005
crossref_primary_10_1016_j_ijheatmasstransfer_2004_10_011
crossref_primary_10_1016_j_apm_2017_02_052
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Computational Mechanics is a copyright of Springer, (2002). All Rights Reserved.
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Issue 1
Keywords Temperature distribution
Digital simulation
Moisture
Porous medium
Heat mass transfer
Relative error
Nonlinear problems
Capillar porosity
Comparative study
Finite difference method
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Snippet A three-time-level scheme is employed to obtain numerical solutions of heat and mass transfer potentials for the nonlinear Luikov system. Relative errors are...
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StartPage 55
SubjectTerms Analytical and numerical techniques
Exact sciences and technology
Exact solutions
Finite difference method
Fundamental areas of phenomenology (including applications)
Heat flow in porous media
Heat transfer
Heat transfer in inhomogeneous media, in porous media, and through interfaces
Mass transfer
Physics
Temperature dependence
Thermal conductivity
Viscosity
Title On comparing finite difference schemes applied to a nonlinear multi-region heat and mass transfer problem
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