Decoupled modified characteristics finite element method for the time dependent Navier–Stokes/Darcy problem |
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| Authors: | Zhiyong Si Yunxia Wang Shishun Li |
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| Institution: | 1. School of Mathematics and Information Science, Henan Polytechnic University, , 454003 Jiaozuo, Henan, China;2. School of Materials Science and Engineering, Henan Polytechnic University, , 454003 Jiaozuo, Henan, China |
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| Abstract: | In this paper, a modified characteristics finite element method for the time dependent Navier–Stokes/Darcy problem with the Beavers–Joseph–Saffman interface condition is presented. In this method, the Navier–Stokes/Darcy equation is decoupled into two equations, one is the Navier–Stokes equation, the other is the Darcy equation, and the Navier–Stokes equation is solved by the modified characteristics finite element method. The theory analysis shows that this method has a good convergence property. In order to show the effect of our method, some numerical results was presented. The numerical results show that this method is highly efficient. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | Navier– Stokes/Darcy problem modified characteristics method BJS interface condition stability analysis error estimate |
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