A posteriori error analysis for Navier–Stokes equations coupled with Darcy problem

A posteriori error analysis for Navier–Stokes equations coupled with Darcy problem
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DOI:
10.1007/s10092-014-0130-z
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发表时间:
2015-12
期刊:
影响因子:
1.7
通讯作者:
M. Hadji;A. Assala;F. Z. Nouri
M. Hadji;A. Assala;F. Z. Nouri
中科院分区:
数学3区
文献类型:
--
作者:
M. Hadji;A. Assala;F. Z. Nouri

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本文的目的是研究地表和地下水流之间的相互作用。所考虑的模型是一个耦合Navier-Stokes方程和Darcy方程的系统。我们利用不连续伽辽金有限元法对这一问题进行离散化。然后,我们对所得到的离散问题进行后验误差分析。数值实验证实了我们的分析结果。
Our aim in this paper is to study the interaction between surface and subsurface flows. The model considered is a system coupling Navier–Stokes and Darcy equations. We make use of a discontinuous Galerkin finite element method for the discretisation of this problem. Then we develop a posteriori error analysis for the resulting discrete problem. Numerical experimentations confirm our analytical results.