An h-adaptive operator splitting method for two-phase flow in 3D heterogeneous porous media

Chih Che Chueh, Ned Djilali, Wolfgang Bangerth

研究成果: Article同行評審

10 引文 斯高帕斯(Scopus)

摘要

The simulation of multiphase flow in porous media is a ubiquitous problem in a wide variety of fields, such as fuel cell modeling, oil reservoir simulation, magma dynamics, and tumor modeling. However, it is computationally expensive. This paper presents an interconnected set of algorithms which we show can accelerate computations by more than two orders of magnitude compared to traditional techniques, yet retains the high accuracy necessary for practical applications. Specifically, we base our approach on a new adaptive operator splitting technique driven by an a posteriori criterion to separate the flow from the transport equations, adaptive meshing to reduce the size of the discretized problem, efficient block preconditioned solver techniques for fast solution of the discrete equations, and a recently developed artificial diffusion strategy to stabilize the numerical solution of the transport equation. We demonstrate the accuracy and efficiency of our approach using numerical experiments in one, two, and three dimensions using a program that is made available as part of a large open source library.

原文English
頁(從 - 到)B149-B175
期刊SIAM Journal on Scientific Computing
35
發行號1
DOIs
出版狀態Published - 2013

All Science Journal Classification (ASJC) codes

  • 計算數學
  • 應用數學

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