Simulation of 3D Advection-diffusion Equation of Pollutants on Arbitrary Polyhedron Grids

In order to capture the characteristics of pollutant transportation accurately, two modified QUICK schemes fitting for 3D unstructured grids are advised, namely Q-QUICK and NQ-QUICK. The numerical results show that the present two schemes can improve the precision of convective flux approximation efficiently in simulation of 3D unsteady advection-diffusion equation of pollutants. In addition, Q-QUICK and NQ-QUICK have a little higher computational accuracy to CDS and similar numerical stability to UDS/HDS/PDS after applying the deferred correction method. To this end, their corresponding CPU times are approximately equivalent to those of traditional difference schemes. Furthermore, their abilities for adapting high grid deformation are robust. It is so promising to apply the suggested schemes to simulate pollutant transportation on arbitrary 3D natural boundary in environmental engineering.