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 numerica l solution of the advective transport of pollutants. Unlike many finit e element methods, LSFEM does not involve any tuning parameter or intr insic time function. Furthermore, LSFEM leads to a symmetric, positive -definite linear system of equations. The standard rotating cone probl em and a rotating puff in a parabolic angular velocity flow held are u sed to test the least-squares finite element method. The results demon strate that the least-squares finite element method is a promising app roach for the advective transport of pollutants.