On a least-squares finite element method for advective transport in air pollution modeling

A least-squares finite element method (LSFEM) is used for the numerical solution of the advective transport of pollutants. Unlike many finite element methods, LSFEM does not involve any tuning parameter or intrinsic time function. Furthermore, LSFEM leads to a symmetric, positive-definite linear system of equations. The standard rotating cone problem and a rotating puff in a parabolic angular velocity flow field are used to test the least-squares finite element method. The results demonstrate that the least-squares finite element method is a promising approach for the advective transport of pollutants.