Effect of Turbulence Closure Models on the Accuracy of Moving Particle Semi-implicit Method for the Viscous Free Surface Flow

Abstract

The purpose of this paper is to put forward the effect of different turbulence closer models on an enhanced Moving Particle Semi-implicit (MPS) method for solving continuity and momentum equations of viscous fluid. MPS method is a mesh- free Lagrangian method capable of solving non-linear governing equations and simulating complex free surface flow circumstances. Various turbulence closer models are added to a MPS program and applied it to different fluid mechanic problems to investigate the effect of these types of closure. Dam break simulation outcome indicates that two-equation turbulence model improves free surface estimation accuracy most. It also shows that type of utilized Kernel function has no significant efficacy on stability when the effect 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.