An adaptive mesh refinement algorithm for compressible two-phase flow in porous media |
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| Authors: | George Shu Heng Pau John B Bell Ann S Almgren Kirsten M Fagnan Michael J Lijewski |
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| Institution: | 1.Earth Science Division,Lawrence Berkeley National Laboratory,Berkeley,USA;2.Center of Computational Sciences and Engineering,Lawrence Berkeley National Laboratory,Berkeley,USA;3.National Energy Research Scientific Computing Center,Lawrence Berkeley National Laboratory,Berkeley,USA |
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| Abstract: | We describe a second-order accurate sequential algorithm for solving two-phase multicomponent flow in porous media. The algorithm
incorporates an unsplit second-order Godunov scheme that provides accurate resolution of sharp fronts. The method is implemented
within a block structured adaptive mesh refinement (AMR) framework that allows grids to dynamically adapt to features of the
flow and enables efficient parallelization of the algorithm. We demonstrate the second-order convergence rate of the algorithm
and the accuracy of the AMR solutions compared to uniform fine-grid solutions. The algorithm is then used to simulate the
leakage of gas from a Liquified Petroleum Gas (LPG) storage cavern, demonstrating its capability to capture complex behavior
of the resulting flow. We further examine differences resulting from using different relative permeability functions. |
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