Geodesic
A scheme for detonation wave computation on moving meshes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2260-2282

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A method for computing detonation waves on moving meshes is described. The detonation process is simulated by solving two-dimensional gas dynamics equations and a chemical reaction equation written in integral form. The numerical method is based on a Godunov-type scheme of second-order accuracy in time and space. The burning zone is resolved by applying adaptive mesh refinement. At every instant of time, the mesh is constructed by minimizing a Dirichlet functional. Numerical results are presented for the one-dimensional Chapman–Jouguet detonation and for unstable overdriven detonation in one and two space dimensions. 
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     author = {B. N. Azarenok},
     title = {A scheme for detonation wave computation on moving meshes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2260--2282},
     publisher = {mathdoc},
     volume = {45},
     number = {12},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a13/}
}
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B. N. Azarenok. A scheme for detonation wave computation on moving meshes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2260-2282. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a13/