Comparative study of standard k-ε and k-ω turbulence models by giving an analysis of turbulent natural convection in an enclosure

Turbulent natural convection in a square cavity has been numerically studied. The mathematical model has been formulated in terms of the dimensionless stream function, vorticity and temperature using two standard turbulence models (k-epsilon and k-omega). For an obtaining of more accurate values of governing parameters close to the walls a special coordinate transformation has been used. Formulated partial differential equations along with the corresponding boundary conditions have been solved by the finite difference method. It has been shown that standard k-epsilon model is more accurate for the considered problem.