Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits∗

نویسندگان

  • Yanzhao Cao
  • Max Gunzburger
  • Fei Hua
  • Xiaoming Wang
چکیده

We consider the continuum Darcy/pipe flow model for flows in a porous matrix containing embedded conduits; such coupled flows are present in, e.g., karst aquifers. The mathematical well-posedness of the coupled problem as well as convergence rates of finite element approximation are established in the two-dimensional case. Computational results are also provided.

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تاریخ انتشار 2009