A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
A cell-centred finite volume method for the Poisson problem on non-graded quadtrees with second order accurate gradients
2017
Journal of Computational Physics
This paper introduces a two-dimensional cell-centred finite volume discretization of the Poisson problem on adaptive Cartesian quadtree grids which exhibits second order accuracy in both the solution and its gradients, and requires no grading condition between adjacent cells. At T-junction configurations, which occur wherever resolution differs between neighbouring cells, use of the standard centred difference gradient stencil requires that ghost values be constructed by interpolation. To
doi:10.1016/j.jcp.2016.11.035
fatcat:hcuggqdy3fcyjfymqgpk3zsqfy