11th European Conference on Turbomachinery Fluid dynamics & Thermodynamics
This paper describes the development of a high order meshless method for the simulation of inviscid, weakly compressible, smooth and subsonic flows. The novelty of this approach is based on the use of least squares fitting to compute the state at the interface in the numerical flux reconstruction step. The main motivation of this work is to reduce the numerical dissipation in the Riemann solver used to compute inviscid fluxes. A second aspect of this paper is to develop an adaptive p-refinement in the frame of the SPH-ALE scheme i.e to adapt the order of this reconstruction. Numerical simulations show the accuracy and the robustness of the numerical approach for hydraulic turbines.