A brief note on upwind collocation

✍ Scribed by D. E. Dougherty; G. F. Pinder

• Publisher: John Wiley and Sons
• Year: 1983
• Tongue: English
• Weight: 418 KB
• Volume: 3
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1650030309

✦ Synopsis

Upwind collocation o n Hermite cubics is compared to orthogonal collocation with respect to effective diffusion. The one-dimensional constant coefficient advection-diffusion equation is employed to this end. The effective diffusion coefficient is determined exactly and is found to be dependent on the nodal solution values. The effective diffusion coefficients of three other upwinding schemes are also presented. Upwind collocation is found to have an effective diffusion coefficient like other upwinding schemes plus an extra term which may enhance or reduce the non-advective flux, depending on the problem solution and point location within the domain.