Abstract
A new decoupled two-gird algorithm with the Newton iteration is proposed for solving the coupled Navier-Stokes/Darcy model which describes a fluid flow filtrating through porous media. Moreover the error estimate is given, which shows that the same order of accuracy can be achieved as solving the system directly in the fine mesh when h = H2. Both theoretical analysis and numerical experiments illustrate the efficiency of the algorithm for solving the coupled problem.
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The Project is jointly supported by National Foundation of Natural Science (11471092, 11326231) and Zhejiang Provincial Natural Science Foundation of China (LZ13A010003).
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Shen, Yj., Han, Df. & Shao, Xp. Modified two-grid method for solving coupled Navier-Stokes/Darcy model based on Newton iteration. Appl. Math. J. Chin. Univ. 30, 127–140 (2015). https://doi.org/10.1007/s11766-015-3291-x
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DOI: https://doi.org/10.1007/s11766-015-3291-x