Multidimensional aware Riemann solver for the Eulerian droplet equation system
Résumé
In clouds and under cold weather, water droplets impact and freeze on aircraft struc-
tures. The Eulerian model for the air-droplet flow predicts the droplet impingement. The model equations are close to the Euler equations but without a pressure term. Consequently, the resulting system is weakly hyperbolic and standard Riemann solvers cannot be used. To circumvent this problem, the system is modified to include the divergence of a particle pressure. The main purpose of this work is to implement a multidimensional HLLC Riemann solver for the modified formulation of the Eulerian droplet model. The method should preserve physical properties such as the density positivity and must produce accurate results compared to existing codes.
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