Investigation of blending-function-based overlapping-grid technique for compressible flows

The paper presents the development and investigation of a blending-function -based overlapping-grid technique for compressible Euler flows. In this tec hnique, local solutions, obtained on overlapping subdomains, are combined i nto a lobal function using blending functions as weights. This global funct ion is subsequently used to impose new boundary conditions on interfaces. T he local solutions are obtained using the Riemann solver and an implicit-un factored method, for spatial and temporal discretization, respectively. Sev eral numerical experiments are carried out for flows around circular-are an d two-element airfoils, and demonstrate that the blending function approach improves the numerical convergence for grid configurations containing mult iple overlaps. (C) 2001 Elsevier Science B.V. All rights reserved.