A C2-continuous high-resolution upwind convection scheme (pages 1263–1285)
L. Corrêa, G.A. B. Lima, M.A. C. Candezano, M.P. S. Braun, C.M. Oishi, H.A. Navarro and V.G. Ferreira
Article first published online: 20 FEB 2013 | DOI: 10.1002/fld.3785
Eight-degree polynomial upwind scheme (EPUS) is an alternative upwind scheme for stable computation of fluid dynamics algorithms. It is a three-point stencil for numerical flux reconstruction of class C2 and formulated by employing the convection boundedness criterion and total variation diminishing stability criteria. The advantage of the EPUS scheme is that it adopts a free parameter that can be used to control dissipation and dispersion. The EPUS scheme is simple implement in existent codes, transports scalars maintaining nonoscillatory profiles, and provides accurate solutions to complex fluid flows.