Singularitymethod/integralequation approach for fluidmechanical and other field problems
Abstract
The applications of an integralequation technique for solving boundaryvalue 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 finitedifference and finiteelement methods or Taylorseries expansions. Applications characterized include the hydrodynamic analysis of the five stages of an underwatermissile launch, threedimensional inviscidflow computations in turbomachines, solution of the inverse problem for a body of revolution in an axially symmetric incompressible inviscid flow via a vortexsheet model, and the determination of electromagnetic and electrochemical fields in complex configurations.
 Publication:

Developments in Mechanics. Volume 12
 Pub Date:
 1983
 Bibcode:
 1983deme...12...53C
 Keywords:

 Boundary Value Problems;
 Computational Fluid Dynamics;
 Fluid Mechanics;
 Integral Equations;
 Singularity (Mathematics);
 Electrochemistry;
 Electromechanics;
 Finite Difference Theory;
 Finite Element Method;
 Hydrodynamics;
 Iterative Solution;
 Turbomachinery;
 Underwater To Surface Missiles;
 Vortices;
 Fluid Mechanics and Heat Transfer