Inverse solution uniqueness and domain of existence for space-marching applications

Inverse solution existence and uniqueness issues are discussed for superson ic and hypersonic three-dimensional inverse procedures that use space-march ing techniques. By using extreme body-slope angle, a simple method to estim ate the limiting domain of inverse solution existence is proposed and appli ed to several example test cases with and without angle of attack. The meth od provides useful information about possible target pressure distributions and inverse solution existence without performing any inverse calculations . By investigating the relations between the surface pressure and the body geometry, a general explanation for inverse solution uniqueness has been de scribed, sample calculations to support this explanation are presented.