Multizone chimera algorithm for solving the full-potential equation

A numerical scheme utilizing a chimera zonal grid approach for solving the three-dimensional full-potential equation is described. Within each grid zone a new approximate factorization scheme based on the approximation factorization scheme 2 algorithm is utilized to advance the solution one iteration. This is followed by the explicit advance of all common zonal grid boundaries using trilinear interpolation of the velocity potential. Two spatial discretization variations are presented; one using a hybrid first-order/second-order-accurate scheme and the second using a fully second-order-accurate scheme. The presentation is highlighted with a grid refinement study and a number of transonic wing flowfield computations.