|Supervisor :||Prof. F. Avellan|
|Assistant :||Dr. A. Maertens|
|Theme :||CFD, turbulence, Finite Volume Particle Method|
The Finite Volume Particle Method (FVPM) is a meshless arbitrary Lagrangian-Eulerian (ALE) method introduced by Hietel et al. in 2000 for compressible flows. The FVPM includes many of the attractive features of both particle methods, such as Smoothed Particle Hydrodynamics (SPH), and conventional mesh-based Finite Volume Methods (FVM). In FVPM, like in SPH, computational nodes usually move with the material velocity, which is compatible with the Lagrangian form of the equation of motion. This enables the method to handle moving interface problems like free-surface flows, without issues of mesh deformation or tangling. FVPM also does not require mesh generation which is a costly stage in simulation of flows with complex geometries. Similarly to FVM, FVPM is locally conservative and consistent regardless of any variation in volume sizes [1, 2].
FVPM is a recent method which we have implemented in our in-house solver called SPHEROS (C++ code). In order to enhance its capabilities, we include specific physical models into it, which have to be adapted from existing FVM and SPH models. Most industrial flows are turbulent, but there exists currently no turbulence model implemented in FVPM. The student will implement two widely used turbulence models, namely k–ϵ and k–ω SST, with appropriate boundary conditions. The performance of the two models will then be compared, with a particular interest into their ability to properly capture turbulence in Pelton turbine flows.
 E. Jahanbakhsh, C. Vessaz, A. Maertens, and F. Avellan, “Development of a Finite Volume Particle Method for 3-D fluid flow simulations,” Computer Methods in Applied Mechanics and Engineering, vol. 298, pp. 80–107, Jan. 2016.
 E. Jahanbakhsh, A. Maertens, N. J. Quinlan, C. Vessaz, and F. Avellan, “Exact finite volume particle method with spherical-support kernels,” Computer Methods in Applied Mechanics and Engineering, vol. 317, pp. 102–127, Apr. 2017.