Open AccessTwo Modified QUICK Schemes for Advection-Diffusion Equation of Pollutants on Unstructured Grids
Author(s) -
Linghang Xing
Publication year - 2009
Publication title -
journal of water resource and protection
Language(s) - English
Resource type - Journals
eISSN - 1945-3108
pISSN - 1945-3094
DOI - 10.4236/jwarp.2009.15043
Subject(s) - upwind scheme , advection , intersection (aeronautics) , grid , diffusion , convection–diffusion equation , node (physics) , mathematics , stability (learning theory) , computer science , algorithm , computational science , mechanics , mathematical analysis , geometry , physics , discretization , engineering , thermodynamics , aerospace engineering , quantum mechanics , machine learning
In this paper, two modified QUICK schemes, namely Q-QUICK and UQ-QUICK, for improving the preci-sion of convective flux approximation are verified in advection-diffusion equation of pollutants on unstruc-tured grids. The constructed auxiliary nodes for Q-QUICK/UQ-QUICK are composed of two neighboring nodes plus the next upwind node, the later node is generated from intersection of the line of current neighboring nodes and their corresponding interfaces. 2D unsteady advection-diffusion equation of pollut-ants is conducted for their verifications on unstructured grids. The numerical results show that Q-QUICK and UQ-QUICK have similar computational accuracy to the central difference scheme and similar numerical stability to upwind difference scheme after applying the deferred correction method. In addition, their corre-sponding CPU times are approximately equivalent to those of traditional difference schemes and their abili-ties for adapting high grid deformation are robust