Adaptive Mesh Refinement In Solution Of Two-phase Flows Problems

Two-phase flow in pipelines is frequently encountered in chemical engineering; especially in the petroleum industry.The widespread presence of these two-phase flows suggests the utility of a general technique of description to understand their behaviour.There are a number of different configurations when oil and gas flow exist inside the pipeline. Due to the differences of these flow regimes, many mathematical models and descriptive equations representing the gas-liquid two-phase flow have been developed and are mentioned by various authors. With the development of research about two-phase flow, the simulations of two-phase flows have many numerical solvers. But owing to the particularity of two-phase flow, the solution is very strongly influenced by essentially local phenomena in many flows, which require fine grids to be properly resolved. It is too expensive to generate uniform fine grids computationally, especially in long industrial pipelines. Therefore a better resolution technique is needed to deal with such flows. In this thesis, adaptive mesh refinement (AMR) scheme was presented, which have proved to be very highly beneficial in terms of speed while preserving accuracy.