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A bounded convection scheme for the overlapping control volume approach
Author(s) -
Verma Atul Kumar,
Eswaran V.
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19971130)25:10<1137::aid-fld613>3.0.co;2-#
Subject(s) - bounded function , scheme (mathematics) , convection , finite volume method , control volume , mathematics , volume (thermodynamics) , computational fluid dynamics , mechanics , computer science , mathematical analysis , physics , thermodynamics
This paper introduces a flux‐limited scheme FLOCV for the overlapping control volume (OCV) approach to 2D steady and unsteady convection–diffusion problems on structured non‐orthogonal grids. FLOCV switches from second‐ to first‐order interpolation in the presence of extrema. Smooth switching between the two is ensured by weighted average second‐ and first‐order upwind differencing, with the weights being dynamically determined. Five convective test problems are solved using this scheme and results are compared with known analytical solutions. It is found that FLOCV approximately retains second‐order accuracy of the base discretization scheme on uniform grids and smooth non‐uniform orthogonal grids. It is also found effective in removing oscillations for problems with discontinuities on both orthogonal and non‐orthogonal grids, with little degradation of accuracy. © 1997 John Wiley & Sons, Ltd.