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Stability analysis of numerical interface boundary conditions for parabolic equations

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 Dirichle...

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Publication date:
1995-06-05
URN:
uuid:7f72f752-9a69-4ffd-8cf6-5c70ba07e859
Local pid:
oai:eprints.maths.ox.ac.uk:1340

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