EFEITOS INERCIAIS E OS MÉTODOS DE ACOPLAMENTO PRESSÃO-VELOCIDADE NA OBTENÇÃO DAS SOLUÇÕES NUMÉRICAS PARA O ENSINO DE FLUIDODINÂMICA

Abstract

In the present work is employed the finite volume method to display a numerical solution by running the pressure-velocity coupling for three methods: PRIME, MAC and SOLA. It’s considering fluid in a laminar flow, incompressible, two-dimensional, in permanent regime (with the profile of fully developed speeds) of a Newtonian isotropic Stokesian fluid, in the region of input between two flat plates, long, parallel, horizontal, of negligible thickness. Has as objective to establish the methods of pressure-velocity coupling and the inertial effects on obtaining the equations for a numerical solution by finite volumes as an example for teaching of numerical analysis computational fluid dynamics. The algorithm was developed in the visual basic language for Excel. Flow simulations were performed to Reynolds number in the range of values known as the Forchheimer Regime (Rey < 150) that characterizes laminar regime with the introduction of some initial inertial disturbance.

Index Terms – PRIME, MAC, SOLA, mathematical modelling, Navier Stokes.