A Finite Volume Model of Charring and Ablation
Sourabh Deshpande, S. Pavithrana and Venkatesh Iyer
Vishwakarma Institute of Technology, Pune 411 007, India.
apavitra@vit.edu
ABSTRACT
The one dimensional(axisymmetric) charring ablation problem has been considered. Finite volume is used for spatial discretisation. The time marching is fully implicit. The mesh is stationary for the charring case. The charring front has a discontinuity in the heat flux. During ablation, the cell adjacent to the ablation front undergoes variation in volume. The Sherman-Morrison method is used to obtain the solution using the tridiagonal method, as the matrix is very close to being tridiagonal. This results in an efficient algorithm.
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