Development of Locally Exact Numerical Scheme(LENS)for Transport Equations with Source Terms and Spatially Dependent Coefficients

概要

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High-order numerical schemes such as the QUICK scheme based on the concept of polynomial differencing for the convection term tend to suffer from unphysical oscillations, when mesh Reynolds or Peculet numbers exceed a critical value(approximately 2). To cope with this problem, some techniques and sophisticated methods were proposed. Alternatively, the concept of locally exact numerical differencing was introduced, upon which the LECUSSO have recently been proposed. The essence of those 1odally exact schemes consists in determining difference coefficients such that the resulting difference equation satisfies the exact solution of the convection-diffusion equation with constant coefficients. However, the governing equations for fluid flows with heat transfer have extra terms such as the source terms in addition to the convection and diffusion terms. In this study, the concept of locally exact differencing is extended into transport equations inclusive of internal and external sources, and a new scheme LENS(Locally Exact Numerica1 Scheme)is developped. The spatial distribution of the coefficients of the transport equation in a contro1 volume is taken into consideration based on a two-region model.
一般社団法人情報処理学会の論文
1994-03-07