@article { 713,
	title = {Improving Accuracy of Coarse Grid Numerical Solution of Solid-Solid Reactions by Taylor Series Expansion of the Reaction Term},
	journal = {Mathematical Problems in Engineering},
	year = {2009},
	abstract = {<span style="font-family: PAText"><span style="font-family: PAText">
<p align="left">
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 finescale 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. 
</p>
</span></span>
},
	author = {H. Hassanzadeh and  M. Pooladi-Darvish and  J. Abedi}
}