Final Project Report-08121-2502-Recent successes in managed pressure drilling have been hardware‐driven, but complementary efforts in annular flow pressure modeling needed for wellbore control have been lacking. In the present work, geometric details related to high annular eccentricity (typical of highly deviated and horizontal wells in ultradeep offshore applications) are modeled exactly using automatically generated boundary‐conforming, curvilinear grid systems, and all governing equations are written to these computational meshes and solved transparently to the user.