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 - <p style="text-align: justify;">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.</p>