A co-ordinate system independent streamwise upwind method for fluid flow computation
Journal
International Journal for Numerical Methods in Fluids
Journal Volume
45
Journal Issue
11
Pages
1235-1247
Date Issued
2004
Author(s)
Ferziger, J.H.
Abstract
Abstract A new co‐ordinate invariant streamwise upwind formulation for convection dominated flows is developed. The eddy diffusivity/viscosity is added directly to the equations in order to remove the oscillations in the solution. The equations then can be solved by any high‐order scheme and the solution retains the accuracy of the high‐order scheme. The accuracy and reduced lateral thickness growth rate are demonstrated with several numerical examples, including pure convective flows and lid‐driven cavity flow. The lateral spreading due to the numerical diffusion is controlled by the anisotropic tensor. Copyright © 2004 John Wiley & Sons, Ltd.
Type
journal article