We discuss here current computational trends (beyond Mechanistic 1D Models) related to transient multiphase flow and flow assurance problems in the oil and gas sector. The developments needed to bring advanced Computational fluid & Multiphase-fluid dynamics (CFD & CMFD) techniques and models to a mature stage will also be discussed. The contribution presents the possibilities offered today by these simulation technologies to treat complex, multiphase, multicomponent flow problems occurring in the gas and petroleum engineering in general. Examples of various degrees of sophistication will be presented, without focusing on the validation aspect as such. The models are briefly introduced (phase averages, N-phase, interface tracking, Lagrangian particle tracking and granular flow model). (c) 2013 Canadian Society for Chemical Engineering