Mathematical model of turbulent flow by SMAC method using algebraic stress turbulence model

The main purpose of this paper is to model the turbulent flow field and to determine the effect of using the k-ε turbulence model and the algebraic stress model (A.S.M) compared to the laminar model. To achieve this goal, the equations governing the turbulent flow in two-dimensional and non-continuous states are obtained, and in the next step, in order to complete the said equations, the A.S.M turbulence model is selected. In this research, the SMAC method is used, in which the nonlinear differential equations are discretized using the finite difference method, and the discrete equations are solved using the iterative method.The SMAC program, which is actually a simplified model of the MAC program, uses a combination of Illyrian and Lagrangian perspectives. In other words, this method uses Lagrangian particles that represent the fluid mass in the Eulerian lattice, which represents the solution. The most important disadvantage of the SMAC method is that it assumes that the flow is smooth and layered, and therefore in the present study to correct this defect, by modifying the existing k-ε turbulence model and also completing the program. The ASM turbulence model tries to show the effect of the turbulence model on the results.

کلیدواژه ها:

Mathematical modeling ، SMAC method ، Algebraic stress perturbation model ، Algebraic perturbation models.