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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Published in:	Computational mechanics Vol. 28; no. 1; pp. 55 - 62
Main Author:	Lobo, P. D.
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer 01.02.2002 Berlin Springer Nature B.V
Subjects:	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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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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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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