Abstract
Governing equations featuring strongly discontinuous coefficients arise in many physical and engineering applications. A case in point concerns flow in porous media which in a general sense, is anisotropic and heterogeneous in nature, and the use of simple homogeneous isotropic assumptions is inadequate [1, 2]. Indeed, accurate numerical solutions can only be achieved if the discretisation employed encompasses its surrounding neighbouring cells to take account of the full hydraulic conductivity tensors [3]. The sharp discontinuous characteristics observed in these tensorial coefficients require careful attention.
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Lee, Y., Gaskell, P. (2009). The efficient and accurate solution of porous media flow problems with strongly discontinuous coefficients. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_37
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DOI: https://doi.org/10.1007/978-3-540-92779-2_37
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