Geodesic
Numerical simulation of detonation wave propagation using a two-stage kinetics model of chemical reactions in the shock-attached frame
Numerical methods and programming, Tome 20 (2019) no. 3, pp. 293-308.

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For the numerical study of a pulsating detonation wave using a two-stage kinetics model of chemical reactions in the shock-attached frame, a new numerical algorithm is proposed. For the four known modes of detonation wave propagation, the effect of the approximation order of the proposed numerical algorithm, the length of the computational domain, the grid resolution, and the type of the far-field boundary condition on the simulation results is analyzed in the framework of this model. The character of pulsations is compared with the numerical results obtained by a number of other authors.
Keywords: mathematical modeling, detonation wave, shock-attached frame, two-stage kinetics model. 
@article{VMP_2019_20_3_a9,
     author = {Ya. E. Poroshina and P. S. Utkin},
     title = {Numerical simulation of detonation wave propagation using a two-stage kinetics model of chemical reactions in the shock-attached frame},
     journal = {Numerical methods and programming},
     pages = {293--308},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a9/}
}
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Ya. E. Poroshina; P. S. Utkin. Numerical simulation of detonation wave propagation using a two-stage kinetics model of chemical reactions in the shock-attached frame. Numerical methods and programming, Tome 20 (2019) no. 3, pp. 293-308. http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a9/