An Equal-space Algorithm for Block-mesh Improvement

A simple smoothing algorithm is proposed for general block-structured meshes. The basic method converts a multi-dimensional problem of mesh-smoothing to a set of one-dimensional problems of length-measurement (or similar geometrical operations). The method is robust, easy to implement, and provides nearly uniform spacing between mesh surfaces. Variations with special features to the basic algorithm are also briefly described. A successive-over-relaxation (SOR) operation can be applied to some of the variations and achieve a convergence rate several times higher than traditional methods.