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Volume 23, Issue 4
Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model

Xin-Ting Zhang & Lung-An Ying

J. Comp. Math., 23 (2005), pp. 337-350.

Published online: 2005-08

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  • Abstract

We study the dependence of qualitative behavior of the numerical solutions (obtained by a projective and upwind finite difference scheme) on the ignition temperature for a combustion model problem with general initial condition. Convergence to weak solution is proved under the Courant-Friedrichs-Lewy condition. Some conditions on the ignition temperature are given to guarantee the solution containing a strong detonation wave or a weak detonation wave. Finally, we give some numerical examples which show that a strong detonation wave can be transformed to a weak detonation wave under some well-chosen ignition temperature.  

  • Keywords

Detonation wave solutions, Combustion model, Upwind finite difference scheme.

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COPYRIGHT: © Global Science Press

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@Article{JCM-23-337, author = {Xin-Ting Zhang and Lung-An Ying}, title = {Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {4}, pages = {337--350}, abstract = {

We study the dependence of qualitative behavior of the numerical solutions (obtained by a projective and upwind finite difference scheme) on the ignition temperature for a combustion model problem with general initial condition. Convergence to weak solution is proved under the Courant-Friedrichs-Lewy condition. Some conditions on the ignition temperature are given to guarantee the solution containing a strong detonation wave or a weak detonation wave. Finally, we give some numerical examples which show that a strong detonation wave can be transformed to a weak detonation wave under some well-chosen ignition temperature.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8820.html} }
TY - JOUR T1 - Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model AU - Xin-Ting Zhang & Lung-An Ying JO - Journal of Computational Mathematics VL - 4 SP - 337 EP - 350 PY - 2005 DA - 2005/08 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8820.html KW - Detonation wave solutions, Combustion model, Upwind finite difference scheme. AB -

We study the dependence of qualitative behavior of the numerical solutions (obtained by a projective and upwind finite difference scheme) on the ignition temperature for a combustion model problem with general initial condition. Convergence to weak solution is proved under the Courant-Friedrichs-Lewy condition. Some conditions on the ignition temperature are given to guarantee the solution containing a strong detonation wave or a weak detonation wave. Finally, we give some numerical examples which show that a strong detonation wave can be transformed to a weak detonation wave under some well-chosen ignition temperature.  

Xin-Ting Zhang and Lung-An Ying. (2005). Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model. Journal of Computational Mathematics. 23 (4). 337-350. doi:
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