The Urban and Regional Multiscale (URM) Airshed Model is a state-of-the art Air Quality Model developed at Carnegie Mellon University. It is currently being used to model ozone formation, acid deposition and other forms of air pollution in regions the size of the Northeastern United States. Air quality models are essential tools in the study of atmospheric chemistry and in the formulation of air pollution control policies and regulations. Because of the economic and environmental importance of these policies, and because of the enormous amount of computation required to perform such large-scale simulations, the National Science Foundation has provided an HPCC Grand Challenge grant to fund the parallelization of this model. The first version of the Parallel Multiscale Airshed Model was developed under this grant in 1993 on the Pittsburgh Supercomputing Center's 8-processor Decstation Supercluster, a dedicated network of Decstation 5000 workstations that are connected by an FDDI fiber-optic network. Since then, it has been ported to PSC's 12-processor Alpha Supercluster, 16-processor Cray Y-MP C90, and 512-processor Cray T3D Massively Parallel Processor. A single run that models air quality in the Northeastern U.S. over a 24-hour time period takes 16 hours on a single Decstation 5000, but only 45 minutes on the Alpha Supercluster. A 24-hour run for the Los Angeles region takes only 8 minutes on the Alpha cluster. The most recent version of the program can run on the C90 and the T3D at the same time. The structure of the program is such that it can take advantage of both architectures, using the C90's powerful vector processors to model the transport phase of the model (in which chemicals are transported by the motion of the atmosphere), and the T3D's numerous Alpha microprocessors to model the chemical reactions above each of thousands of points the earth's surface. Measurements suggest that this version of the program will be significantly faster than previous versions. In addition to making multi-day and multi-week simulations more practical, this development will also make possible new models that incorporate much more sophisticated chemical interactions. These reactions are so computationally demanding that modeling them is currently infeasable. Thus, the parallelization of this code by CMU researchers and its execution on PSC's powerful supercomputing resources are enabling significant advances to the speed and accuracy of air quality modeling. Current development efforts are centered on optimizing performance of the heterogeneous C90/T3D version, and on supporting an even wider range of computing platforms in the future.