A co-ordinate system independent streamwise upwind method for fluid flow computation

• Published in: International journal for numerical methods in fluids Vol. 45; no. 11; pp. 1235 - 1247
• Main Authors: Ferziger, Joel H., Tseng, Yu-heng
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 20.08.2004; Wiley
• Subjects: anisotropic diffusivity; co-ordinate invariant; Computational methods in fluid dynamics; Convection and heat transfer; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Laminar flows; Laminar flows in cavities; Physics; SUPG; Turbulent flows, convection, and heat transfer; Computational fluid dynamics; Digital simulation; Velocity distribution; Cavity flow; Convection; Heat transfer; Navier-Stokes equations; Moving wall; Upwind scheme
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.737

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.