Improving Accuracy of Coarse Grid Numerical Solution of Solid-Solid Reactions by Taylor Series Expansion of the Reaction Term

Hassan Hassanzadeh, Mehran Pooladi-Darvish and Jalal Abedi

Mathematical Problems in Engineering, 2009, vol. 2009, 1-13

Abstract:

Exothermic solid-solid reactions lead to sharp reaction fronts that cannot be captured by coarse spatial mesh size numerical simulations that are often required for large-scale simulations. We present a coarse-scale formulation with high accuracy by using a Taylor series expansion of the reaction term. Results show that such expansion could adequately maintain the accuracy of fine-scale behavior of a constant pattern reaction front while using a smaller number of numerical grid cells. Results for a one-dimensional solid-solid reacting system reveal reasonable computational time saving. The presented formulation improves our capabilities for conducting fast and accurate numerical simulations of industrial-scale solid-solid reactions.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:696253

DOI: 10.1155/2009/696253

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