A well‐behaved scheme to model strong convection in a general transport equation

Abstract

A new discretization scheme named NOTABLE (New Option for the Treatment of Advection in the Boundary Layer Equations) is presented. Despite its name, this scheme is intended to be used in a general transport equation to discretize the convective term. It is formally third‐order accurate in regions of smooth solution and first‐order accurate at grid points having local maxima. Within the finite‐volume formulation it relates the face values to the nodal values via a non‐linear function. This scheme has been compared with well‐known high‐order schemes like QUICK and it has always given more accurate solutions. After assessing the scheme in several unidimensional test cases for which an exact solution is available, its performance in a complex swirling flow is addressed.

Citation

Pascau, A., Pérez, C. and Sánchez, D. (1995), "A well‐behaved scheme to model strong convection in a general transport equation", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 5 No. 1, pp. 75-87. https://doi.org/10.1108/EUM0000000004058