A Numerical Method for Uncertain Compressible Flows

The treatment of uncertain interface positions in complex simulations and the propagation of the latter uncertainty through complex systems is an important issue. In this paper, we tackle the characterization of perturbed interfaces between fluids thanks to stochastic modelization and the propagation of the initial uncertainty through the Euler system. The stochastic Euler system is solved applying Polynomial Chaos theory through the Intrusive Polynomial Moment Method (IPMM), see [23]. Numerical results are presented for several configurations of the uncertain interface. The system presents an important sensitivity with respect to the stochastic initially leading modes of the uncertain interface.