The Mathematical Institute, University of Oxford, Eprints Archive

Stability analysis of numerical interface boundary conditions for parabolic equations

Giles, M. B. (1995) Stability analysis of numerical interface boundary conditions for parabolic equations. Technical Report. Unspecified. (Submitted)

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Abstract

This paper analyses the numerical stability of coupling procedures in modelling the thermal diffusion in a solid and fluid with continuity of temperature and heat flux at the interface. A simple one-dimensional model is employed with uniform material properties and grid density in each domain. A number of different explicit and implicit algorithms are considered for both the interior equations and the boundary conditions. The analysis shows that, in general, these are stable provided Dirichlet boundary conditions are imposed on the fluid and Neumann boundary conditions are imposed on the solid; in each case, the imposed values are obtained from the other domain.

Item Type:Technical Report (Technical Report)
Subjects:A - C > Classical thermodynamics, heat transfer
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1340
Deposited By:Lotti Ekert
Deposited On:12 Jun 2011 09:51
Last Modified:12 Jun 2011 09:51

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