A binomial tree - based parallel load - balancing methods for solution - adaptive unstructured finit

The method of the invention employs a gas torch which has the feature of selective addition of metal powder to the gas flow, in a cyclical pattern of metal-spraying and non-spraying (fusing) utilization of the same torch. The torch is caused to make short and relatively rapid transverse oscillations of sweep across the width of a swath along the workpiece, the swath developing in the course of a relatively slow feed (e.g., a longitudinal feed) of the torch with respect to the workpiece. The rate of torch feed and the duty cycle of metal application (vs. non-spraying) are related to the effective width of the metal "bead" thus sprayed, so as to assure (1) overlapping of adjacent beads and (2) fusing of adjacent beads to each other and to the workpiece. The embodiment which is described in detail has the almost universal capability of developing such torch-application along a swath of virtually any prescribed course, from straight longitudinal (single rectilineal component), to complex curvilinear (combination of rectilineal and rotational components), as for example to apply coating metal to what will become the cutting edge of a helical auger blade.