Summary
A new family of flux-continuous finite-volume methods are presented for the full-tensor pressure equation with general discontinuous coefficients. Full pressure continuity that is built into the new methods leads to a quasi-positive formulation that minimises spurious oscillations in discrete pressure solutions for strongly anisotropic full-tensor fields.
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References
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Edwards, M.G., Zheng, H. (2010). Quasi-Positive Continuous Darcy-Flux Finite-Volume Methods. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_131
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DOI: https://doi.org/10.1007/978-3-642-12110-4_131
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