The numerical simulation of multi-phase flows involving immiscible phases or solid particles generally considers the interaction between an ambient fluid and another phase (solid particles, droplets, bubbles, lms, sprays, jets). Either deformable grids, which are adapted to the interface, or fixed grids, with an independent representation of the interface, such as front-tracking, volume-of-fluid, level-set and phase-field, can be used to investigate these flows. The direct numerical simulation and large eddy simulation of multi-phase flows can be achieved with different mathematical models (Navier-Stokes, Boltzmann, Saint-Venant, Smooth-Particle Hydrodynamics) with emphasis on different physical aspects of the flow (representation of the capillary force with constant and variable surface tension, phase change, wettability and contact lines, and more complex phenomena involving electric and magnetic fields). Other topics of interest to the mechanical and CFD community are the multi-scale modeling of multi-phase flows. The present course aims at providing basis and recent research insights concerning the small scale modeling and simulation of turbulent multi-phase flows. By small scale, it has to be understood that the grid size for the simulation is smaller than most of the physical time and space scales of the problem. Small scale modeling of multi-phase flows is a very popular topic since the capabilities of massively parallel computers allows to go deeper into the comprehension and characterization of realistic flow configurations and at the same time, many environmental and industrial applications are concerned such as nuclear industry, material processing, chemical reactors, engine design, ocean dynamics, pollution and erosion in rivers or on beaches ... The main goal of this course is to propose a complete and exhaustive presentation of models and numerical methods devoted to small scale simulation of turbulent multi-phase flows from specialists of the research community. Attention has also been paid to promote illustrations and applications with senior researchers experts in CFD, multi-phase flows and collaborations with industry. The idea is also to bring together developers and users of different numerical approaches and codes to share their experience in the development and validation of the algorithms and discuss the difficulties and limitations of the different methods and their pros and cons. The focus will be mainly on fixed-grid methods, however adaptive and unstructured grids will be also partly broached, with the aim to compare and validate the different approaches and models.