A three-dimensional inverse geometry problem in estimating simultaneously two interfacial configurations in a composite domain

A three-dimensional inverse geometry problem, i.e. shape identification problem, in estimating simultaneously two interfacial configurations in a composite domain with three regions is examined in the present work by using the conjugate gradient method (CGM) and commercial package CFD-ACE+. Two over-utilized conditions should be utilized in determining two gradient equations. Numerical experiments using different measurement errors and different interfacial configurations were performed to justify the validity of the conjugate gradient method in solving this inverse geometry problem. Finally it is concluded that accurate interfacial configurations can be estimated by utilizing the present inverse algorithm.