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@ARTICLE{Beale:1025154,
      author       = {Beale, Steven B. and Malin, M. R. and Marschall, H.},
      title        = {{REMARKS} {ON} {THE} {PHYSICAL} {BASIS} {FOR} {THE}
                      {CONSTRUCTION} {OF} {DIFFUSION} {FLUX} {TERMS} {IN}
                      {FINITE}-{VOLUME} {EQUATIONS}},
      journal      = {Computational thermal sciences},
      volume       = {16},
      number       = {3},
      issn         = {1940-2503},
      address      = {Redding, Conn.},
      publisher    = {Begell House},
      reportid     = {FZJ-2024-02731},
      pages        = {71 - 87},
      year         = {2024},
      abstract     = {The formulation for the diffusion terms in unstructured
                      meshes is compared to that previously derived by the present
                      authors and others for structured body-fitted meshes in
                      terms of direction cosines between the normal and tangential
                      directions. The so-called 'over-relaxed' approach is
                      entirely equivalent/identical, subject to the caveat that
                      the gradient of a scalar field is computed as the product of
                      the scalar and the local surface area vector per unit volume
                      summed (integrated) over the cell volumes, rather than by
                      bilinear field interpolation. The physical/mathematical
                      basis for the 'minimum correction' and 'orthogonal
                      correction' approaches is not consistent with the present
                      authors' derivation, which is in agreement with previous
                      observations. The derivation for a structured mesh here
                      differs from previous work in that physical, rather than
                      mathematical components/projections of vectors are
                      considered, thus filling a significant historical gap in the
                      literature.},
      cin          = {IEK-13},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-13-20190226},
      pnm          = {1222 - Components and Cells (POF4-122)},
      pid          = {G:(DE-HGF)POF4-1222},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001278475800001},
      doi          = {10.1615/ComputThermalScien.2024049108},
      url          = {https://juser.fz-juelich.de/record/1025154},
}