Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 401, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2019.109001
Keywords
Finite-volume; Skewness; Grid irregularity; Viscous discretization; Convergence; Implicit solver
Funding
- Software CRADLE, part of Hexagon
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This paper proposes a face-area-weighted 'centroid' as a superior alternative to the geometric centroid for defining a local origin in a cell-centered finite-volume method on triangular grids. It is demonstrated theoretically and numerically that the face-area-weighted 'centroid' can reduce grid skewness and improve iterative convergence for triangular grids. It is also shown that source terms do not have to be integrated over a cell and can be evaluated simply at the local origin without losing the design order of accuracy. Numerical results demonstrate that the face-area-weighted 'centroid' improves iterative convergence of an implicit defect-correction second-order finite-volume solver for inviscid and viscous flow problems on regular and irregular triangular grids. (C) 2019 Elsevier Inc. All rights reserved.
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