Comparative studies on accuracy and convergence rate between the cell-centered scheme and the cell-vertex scheme for triangular grids

The truncation errors of the cell-centered and the cell-vertex schemes for unstructured triangular grids are theoretically derived respectively, showing that the truncation error of the cell-vertex scheme is smaller than that of the cell-centered scheme for the same triangular grids. The theoretical derivation is validated by some numerical examples. In addition, it is also shown by both of theoretical analysis and numerical examples that the convergence rate of the cell-vertex scheme is faster than that of the cell-centered scheme.