Two-dimensional lattice-Boltzmann simulations of single phase flow in a pseudo two-dimensional micromodel |
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| Institution: | 1. Shell International Exploration and Production Inc., 3333 Highway 6 S, Houston, TX 77082, USA;2. Rice University, Department of Computational & Applied Mathematics, 6100 Main Street - MS 134, Houston, TX 77005, USA;3. Shell Global Solutions International B.V., Badhuisweg 3, 1031 CM Amsterdam, The Netherlands;4. Department of Earth Science & Engineering, Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom;5. Qatar Carbonates and Carbon Storage Research Centre, Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom;1. Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, China;2. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China;3. Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | We compare two-dimensional and three dimensional lattice-Boltzmann (LB) simulations of fluid flow in a pseudo-2D micromodel used in experimental work. We show that 2D LB simulations can be used to compute the average velocity field in 3D systems in which the third dimension is small compared with the other two dimensions, and where the velocity component along the third dimension is zero. Correct results are obtained provided a viscous drag force, representing the effect of the third dimension, is used in the 2D model. The use of 2D simulations allows to significantly reduce the computational cost of the calculations, and hence to increase the size and resolution of the systems that can be studied using the LB method. |
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