Multi-scale iterative techniques and adaptive mesh refinement for flow in porous media |
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| Institution: | 1. Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, 400044, PR China;2. College of Resource and Environmental Science, Chongqing University, Chongqing, 40044, PR China;3. College of Chemistry, Chemical and Environmental Engineering, Henan University of Technology, Zhengzhou, 450001, PR China;1. School of Mathematics and Natural Sciences, The University of Southern Mississippi, 118 College Dr #5043, Hattiesburg, MS 39406, USA;2. Department of Radiation Oncology, Beaumont Health, Royal Oak, MI 48073, USA;1. LMV – UMR 8100, Univ. Versailles Saint-Quentin-en-Yvelines, UFR des Sciences, Bâtiment Fermat, 45 avenue des Etats-Unis, 78035 Versailles cedex, France;2. CEA, DAM, DIF, F-91297 Arpajon, France;3. Maison de la Simulation USR 3441, Digiteo Labs, bât 565, PC 190, CEA Saclay, 91191 Gif sur Yvette Cedex, France;4. DEN/DANS/DM2S/STMF – CEA Saclay, 91191 Gif sur Yvette Cedex, France;1. Department of Otolaryngology-Head and Neck Surgery, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences, 2-5-1 Shikata-cho, Kita-ku, Okayama 700-8558, Japan;2. Department of Medical Bioinformatics, Hokkaido Information University, 59-2 Nishi Nopporo, Ebetsu, Hokkaido 069-8585, Japan;1. Engineering Measurement Division, National Physical Laboratory, Teddington TW11 0LW, UK;2. College of Engineering, Design and Physical Sciences, Brunel University, Uxbridge UB8 3PH, UK |
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| Abstract: | Multi-component flow in porous media involves localized phenomena that could be due to several features, such as concentration fronts, wells or geometry of the media. Our approach to treating the localized phenomena is to use high-resolution discretization methods in combination with adaptive mesh refinement (AMR). The purpose of AMR is to concentrate the computational work near the regions of interest in the flow. When properly designed, AMR can significantly reduce the computational effort required to obtain a desired level of accuracy in the simulation. Necessarily, AMR requires appropriate techniques for communication between length scales in a hierarchy. The selection of appropriate scaling rules as well as computationally efficient data structures is essential to the success of the overall method. However, the emphasis here is on the development of efficient techniques for solving linear systems that arise in the numerical discretization of an elliptic equation for the incompressible pressure field. In this paper, the combined AMR technique has been applied to a two-component single-phase model for miscible flooding. Numerical results are discussed in one-dimensional and two-dimensional. |
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