E ect of turbulence closure models on the accuracy of moving particle semi-implicit method for the viscous free surface ow

The purpose of this paper is to put forward the eect of dierent turbulence closure models on an enhanced Moving Particle Semi-implicit (MPS) method for solving continuity and momentum equations of viscous uid. MPS method is a mesh-free Lagrangian method capable of solving non-linear governing equations and simulating complex free surface ow circumstances. Various turbulence closure models are added to a MPS program and applied it to dierent uid mechanic problems to investigate the eect of these types of closure. Dam break simulation outcome indicates that the two-equation k ?? " turbulence model improves free surface estimation accuracy most. It also shows that type of utilized Kernel function has no signicant ecacy on stability when the eect of turbulence is included. Further, an algorithm called Incomplete Conjugate Cholesky Gradient (ICCG) is applied for computing pressure implicitly. Applying developed model to well-known sample problems cited in the literature represents that using turbulence closure models can enhance the prediction of developed model as well as stability of the simulations.