TY - JOUR
T1 - Second-order Godunov-type scheme for reactive flow calculations on moving meshes
AU - Azarenok, Boris N.
AU - TANG, Tao
N1 - Funding Information:
The work of B.N. Azarenok was partially supported by Russian Fund of Fundamental Research (Project Code 02-01-00236). The work of T. Tang was partially supported by Hong Kong Research Grant Council (Project Code HKBU 2045/02P and HKBU2018/03P)and International Research Team on Complex System, Chinese academy of Sciences.
PY - 2005/6/10
Y1 - 2005/6/10
N2 - The method of calculating the system of gas dynamics equations coupled with the chemical reaction equation is considered. The flow parameters are updated in whole without splitting the system into a hydrodynamical part and an ODE part. The numerical algorithm is based on the Godunov's scheme on deforming meshes with some modification to increase the scheme-order in time and space. The variational approach is applied to generate the moving adaptive mesh. At every time step the functional of smoothness, written on the graph of the control function, is minimized. The grid-lines are condensed in the vicinity of the main solution singularities, e.g., precursor shock, fire zones, intensive transverse shocks, and slip lines, which allows resolving a fine structure of the reaction domain. The numerical examples relating to the Chapman-Jouguet detonation and unstable overdriven detonation are considered in both one and two space dimensions.
AB - The method of calculating the system of gas dynamics equations coupled with the chemical reaction equation is considered. The flow parameters are updated in whole without splitting the system into a hydrodynamical part and an ODE part. The numerical algorithm is based on the Godunov's scheme on deforming meshes with some modification to increase the scheme-order in time and space. The variational approach is applied to generate the moving adaptive mesh. At every time step the functional of smoothness, written on the graph of the control function, is minimized. The grid-lines are condensed in the vicinity of the main solution singularities, e.g., precursor shock, fire zones, intensive transverse shocks, and slip lines, which allows resolving a fine structure of the reaction domain. The numerical examples relating to the Chapman-Jouguet detonation and unstable overdriven detonation are considered in both one and two space dimensions.
KW - Detonation wave
KW - Moving mesh
KW - Second-order Godunov-type scheme
UR - http://www.scopus.com/inward/record.url?scp=33845638600&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2004.12.002
DO - 10.1016/j.jcp.2004.12.002
M3 - Journal article
AN - SCOPUS:33845638600
SN - 0021-9991
VL - 206
SP - 48
EP - 80
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 1
ER -