Volume 29, Issue 2
On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids

Commun. Comput. Phys., 29 (2021), pp. 445-471.

Published online: 2020-12

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• Abstract

Long time simulations are needed in the numerical study of the Zeldovich-Neumann-Döring model, in which the quality resolving the dynamics of the detonation front is crucial. The numerical error introduced from the inappropriate outflow boundary condition and the mesh resolution are two main factors qualitatively affecting the dynamics of the detonation front. In this paper we improve the numerical framework in [15] by introducing the Strang splitting method and a new $h$-adaptive method with a feature based $a$ $posteriori$ error estimator. Then a cheap numerical approach is proposed to sharply estimate a time period, in which the unphysical influence on the detonation front can be avoided effectively. The sufficiently dense mesh resolution can be guaranteed around the detonation front and in the reaction zone by the proposed $h$-adaptive method. The numerical results show that the proposed method is sufficiently robust even for long time calculations, and the quality dynamics of the detonation can be obtained by the proposed numerical approach.

• Keywords

Reactive Euler equations, Strang splitting scheme, $h$-adaptive methods, subsonic outflow boundary, ZND model.

65N50, 35Q31

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• RIS
• TXT
@Article{CiCP-29-445, author = {Di , Yana and Hu , Guanghui and Li , Ruo and Yang , Feng}, title = {On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids}, journal = {Communications in Computational Physics}, year = {2020}, volume = {29}, number = {2}, pages = {445--471}, abstract = {

Long time simulations are needed in the numerical study of the Zeldovich-Neumann-Döring model, in which the quality resolving the dynamics of the detonation front is crucial. The numerical error introduced from the inappropriate outflow boundary condition and the mesh resolution are two main factors qualitatively affecting the dynamics of the detonation front. In this paper we improve the numerical framework in [15] by introducing the Strang splitting method and a new $h$-adaptive method with a feature based $a$ $posteriori$ error estimator. Then a cheap numerical approach is proposed to sharply estimate a time period, in which the unphysical influence on the detonation front can be avoided effectively. The sufficiently dense mesh resolution can be guaranteed around the detonation front and in the reaction zone by the proposed $h$-adaptive method. The numerical results show that the proposed method is sufficiently robust even for long time calculations, and the quality dynamics of the detonation can be obtained by the proposed numerical approach.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2020-0028}, url = {http://global-sci.org/intro/article_detail/cicp/18477.html} }
TY - JOUR T1 - On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids AU - Di , Yana AU - Hu , Guanghui AU - Li , Ruo AU - Yang , Feng JO - Communications in Computational Physics VL - 2 SP - 445 EP - 471 PY - 2020 DA - 2020/12 SN - 29 DO - http://doi.org/10.4208/cicp.OA-2020-0028 UR - https://global-sci.org/intro/article_detail/cicp/18477.html KW - Reactive Euler equations, Strang splitting scheme, $h$-adaptive methods, subsonic outflow boundary, ZND model. AB -

Long time simulations are needed in the numerical study of the Zeldovich-Neumann-Döring model, in which the quality resolving the dynamics of the detonation front is crucial. The numerical error introduced from the inappropriate outflow boundary condition and the mesh resolution are two main factors qualitatively affecting the dynamics of the detonation front. In this paper we improve the numerical framework in [15] by introducing the Strang splitting method and a new $h$-adaptive method with a feature based $a$ $posteriori$ error estimator. Then a cheap numerical approach is proposed to sharply estimate a time period, in which the unphysical influence on the detonation front can be avoided effectively. The sufficiently dense mesh resolution can be guaranteed around the detonation front and in the reaction zone by the proposed $h$-adaptive method. The numerical results show that the proposed method is sufficiently robust even for long time calculations, and the quality dynamics of the detonation can be obtained by the proposed numerical approach.

Yana Di, Guanghui Hu, Ruo Li & Feng Yang. (2020). On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids. Communications in Computational Physics. 29 (2). 445-471. doi:10.4208/cicp.OA-2020-0028
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