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A convection scheme sensitized to the convection direction of a scalar quantity

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Abstract

It is generally believed that higher order differencing schemes for the convection transport term, e.g., the QUICK scheme and its variants, are superior to the first order simple upwind differencing scheme in the sense that the former produces less numerical diffusion than the latter. In this paper it is shown that this conclusion is no more correct when the flow changes its direction quite rapidly and the grid density is not sufficient. In this situation the simple upwind differencing returns much steeper change of convective variables than higher order schemes. The failure of usual higher order schemes for this flow condition is attributed to the ignorance of convection direction of variables, and a new convection scheme sensitized to the direction of convective transport of a scalar quantity is devised and applied to typical benchmark flows. Results show that the proposed scheme is sufficiently accurate for computation of scalar fields, and also show the optimum behavior for tested problems.

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Authors and Affiliations

  1. Department of Mechanical Engineering, College of Engineering, Inje Univ., 607 Obang-Dong, 621-749, Kimhae, Kyongnam, South Korea

    Ji Ryong Cho

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  1. Ji Ryong Cho
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Cho, J.R. A convection scheme sensitized to the convection direction of a scalar quantity. KSME International Journal 11, 106–114 (1997). https://doi.org/10.1007/BF02945231

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  • DOI: https://doi.org/10.1007/BF02945231

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