Development of an Upwinding Scheme through the Minimization of Modified Wavenumber Error for the Incompressible Navier-Stokes Equations

• Published in: Numerical heat transfer. Part B, Fundamentals Vol. 60; no. 3; pp. 179 - 202
• Main Authors: Sheu, Tony W. H., Kao, Neo S. C., Chiu, P. H., Lin, C. S.
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis Group 01.09.2011; Taylor & Francis Ltd
• Subjects: Accuracy; Dispersion; Dispersions; Error analysis; Exact solutions; Fluid mechanics; Heat transfer; Mathematical analysis; Minimization; Navier-Stokes equations; Reynolds number; Stability analysis; Wavenumber

In this article we develop a computationally stable and dispersively accurate convective scheme for the incompressible Navier-Stokes equations predicted in non-staggered grids. To enhance the convective stability and improve the dispersion accuracy, the convective terms are approximated by conductin...