Order of accuracy of QUICK and related convection-diffusion schemes

摘要: Abstract This paper explains significant differences in truncation error between finite-difference and finite-volume convection-diffusion schemes. Specifically, the order of accuracy QUICK scheme for steady-state convection diffusion is discussed detail. Other related schemes are also considered. The original one-dimensional written terms nodal-point values convected variable (with a 1 8 -factor multiplying “curvature” term) indeed third-order representation formulation operator average across control volume, naturally flux-difference form. An alternative single-point upwind difference (SPUDS) using node 6 -factor) formulation; this can be pseudo-flux-difference These both schemes; however, 33% more accurate than implementation SPUDS. Another scheme, writing convective fluxes cell-average values, requires accuracy. For completeness, one write derivative cell averages then express form; accuracy, curvature factor 5 24 . Diffusion operators considered formulations. Finite-volume formulations found to significantly accurate. example, classical second-order central differencing second exactly twice as it formulation.