Application of the Jacobian-Free Newton-Krylov Method for Multiphase Pipe Flows

摘要

Reliable modeling of multiphase pipe flows demand the development of fast and robust numerical techniques. The presented in this paper study proposes a multi-fluid model and its implementation using the Jacobian-Free Newton-Krylov (JFNK) method. The fully implicit formulation framework described in this paper will enable to efficiently solve governing fluid flow equations. A reduction of a multi-fluid model in zones of phase disappearance based on the phase state distribution over the cells is considered within the numerical method where the single phase cells and multiphase cells are distinguished by solving reduced set of governing equations for single phase cells. Current algorithm for slug flows simulations and further perspectives are proposed and discussed in this paper.