Optimum application of the multigrid method in generating body‐fitted co‐ordinates

摘要

AbstractMultigrid method is used to accelerate the convergence of the numerical solution of the set of partial differential equations for generating the Body‐Fitted Co‐ordinate system (BFC) for both simply and doubly connected domain problems. The multigrid method is based on the full approximation scheme with bilinear interpolation as prolongation operator. The other components of the multigrid method such as the relaxation method, restriction operator, number of relaxation sweeps per cycle and direction of relaxation sweeps are varied with a view to obtaining the general principle in implementing an efficient multigrid algorithm for the generation of the B