Abstract
Simulations of the gas-dynamic phase of a small detonation are performed using Large-Eddy simulations with the HLLC-solver and different equations of state. Three problems are considered, and the results are compared to analytical solutions and experimental results where they are available. These comparisons show good agreement between the simulations and the reference data. The results from simulations with different equations of state are compared, and it is shown that the choice of equation of state has significant impact on the results, in particular on the strength and arrival time of the shocks and on the subsequent development of instabilities.