An Adaptive Mesh Refinement Algorithm for Compressible Two-Phase Flow In Porous Media
نویسندگان
چکیده
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 mesh refinement 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 LPG storage cavern. The algorithm captures the complex behavior of the resulting flow. We further examine differences resulting from using different relative permeability functions. Mathematics Subject Classification (2000) 76S05 · 65M08 · 65M50
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