BEM-Based Algorithm for URANS Simulations of Flow over a Square Cylinder

Abstract

The boundary element method (BEM) is extended for the discretisation of the incompressible Navier-Stokes equations in the velocity-vorticity form for the URANS formulation. BEM uses fundamental solutions as weighting functions, thus the approach enables inclusions of some of the governing physics in the method itself. For testing purposes the flow around the square cylinder in the two-dimensional channel with a blockage ratio of 1/8 was chosen as the appropriate test case. The flow was calculated for the Reynolds numbers ranging from 100 to 1000. At Reynolds number 1000, the governing equations were solved directly in a quasi DNS manner and in the RANS form using the Spalart-Allmaras turbulence model within an URANS simulation.

Non-Newtonian Shear-Thinning Fluid Passing Through a Duct with an Obstacle, Using a Power Law Model

“…Rek et al [1] used CFD simulation to analyse a heating oven. Lupse et al [2] worked on an URANS simulation of flow for square cylinder geometry. Liao et al [3] used CFD to simulate the flow in a directional valve.…”

Sensitivity analysis of size effect on the performance of hydrostatic bearing

“…Velocity slip will affect the shape and pressure distribution of oil film [3], thereby affecting oil film flow, bearing capacity, bearing dynamic stiffness and other performances parameters of hydrostatic bearing, and more seriously, oil film is prone to collapse and failure [4][5][6]. Janez Lupse et al [7] extended boundary element method for the discretisation of the incompressible Navier-Stokes equations in the velocity-vorticity form. Paper [8] also points out that because of the size effect of oil film thickness, macroscopic tribology law in a way is no longer applicable.…”