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Overset grids are used in conjunction with a finite volume time domain (FVTD) Maxwell equations solver to conduct electromagnetic scattering simulations on distributed memory massively parallel computing platforms. Simulation results are presented for two spheres in close proximity as well as a finned missile-like configuration. In addition, parallel performance data is presented for program runs on three modern parallel architectures. Results show the overset grid algorithm to be highly scalable and capable of producing results of comparable accuracy to single-grid solutions while greatly simplifying the often complex grid-generation process.