Application of a Laser Induced Fluorescence Model to the Numerical Simulation of Detonation Waves in Hydrogen-Oxygen-Diluent Mixtures EULER CODE VALIDATION

Several test cases are presented in this section to demonstrate the accuracy and robustness of the Euler code used for simulations of cellular detonations. These test cases are logically divided in two groups: the first one deals with nonreacting flows of perfect gas and the second one with reacting flows, for which the thermochemical model used is the same as in detonation simulations. Each test case has specific objectives and the validity of the simulation results can be verified by comparison with a reference solution either obtained by the authors or known from the literature. Unfortunately, direct comparisons of detonation simulations are not really possible because there is no real reference due to the instable nature of the numerical solution. In particular, it is not possible to validate a code by comparing a fluctuating numerical solution to a steady-state ZND solution. Instabilities exhibited by the detonation fronts in either 1D or 2D configurations are very sensitive to the intrinsic properties of the numerical schemes used. Hence, it is not sure that detonation simulation results obtained with one code are reproducible by another one except for some cases of very stable mixtures.