This work is devoted to the numerical modeling of multi-dimensional reactive gas-particle flows in a gun. We consider 2D or 3D flows in ducts of variable section. Not only complex physical phenomenons are taken into account such as interphase mass and energy transfer, but complex geometries too. Our mathematical model2 is only conditionally hyperbolic. We thus propose a fractional step method where each step is proved to be hyperbolic. The whole system is solved by a non-conservative finite volume method, adapted from5 . Validations are made on academic shock tube problems and then on several interior ballistic experiments.
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