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Modified two-grid method for solving coupled Navier-Stokes/Darcy model based on Newton iteration |
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| Authors: | SHEN Yu-jing HAN Dan-fu SHAO Xin-ping |
| Institution: | 1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China 2. Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China 3. School of Science, Hangzhou Dianzi University, Hangzhou 310018, China |
| 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 mediaMoreover 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 = H2Both theoretical analysis and numerical experiments illustrate the efficiency of the algorithm for solving the coupled problem. |
| Keywords: | Navier-Stokes equation Darcy’s law interface coupling two-grid algorithm Newton iteration |
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