Singularity-method/integral-equation approach for fluidmechanical and other field problems

The applications of an integral-equation technique for solving boundary-value problems are briefly described. The technique involves the analytical elimination of mathematical singularities in the integration prior to the iterative numerical solution and is found to offer some distinct advantages over finite-difference and finite-element methods or Taylor-series expansions. Applications characterized include the hydrodynamic analysis of the five stages of an underwater-missile launch, three-dimensional inviscid-flow computations in turbomachines, solution of the inverse problem for a body of revolution in an axially symmetric incompressible inviscid flow via a vortex-sheet model, and the determination of electromagnetic and electrochemical fields in complex configurations.