Treatment of numerical diffusion in strong convective flows

Clicks: 197
ID: 270913
1994
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Abstract
A three-dimensional extension of the QUICK scheme adapted for the finite volume method and non-uniform grids is presented to handle convection-diffusion problems for high Peclet numbers and steep gradients. The algorithm is based on three-dimensional quadratic interpolation functions in which the transverse curvature terms are maintained and the diagonal dominance of the coefficient matrix is preserved. All formulae are explicitly given in an appendix. Results obtained with the classical upwind (UDS), the simplified QUICK (transverse terms neglected) and the present full QUICK schemes are given for two benchmark problems, one two-dimensional, steady state and the other three-dimensional, unsteady state. Both QUICK schemes are shown to give superior solutions compared with the UDS in terms of accuracy and efficiency. The full QUICK scheme performs better than the simplified QUICK, giving even for coarse grids acceptable results closer to the analytical solutions, while the computational time is not affected much
Reference Key
mitsoulis1994internationaltreatment Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors George Arampatzis,D. Assimacopoulos,E. Mitsoulis;George Arampatzis;D. Assimacopoulos;E. Mitsoulis;
Journal international journal for numerical methods in fluids
Year 1994
DOI
10.1002/fld.1650180306
URL
https://sciprofiles.com/publication/view/0d67c2ec2c1ba142cd842ac29eb9083d
Keywords
convective transport finite volume method upwinding quick scheme benchmark problems

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