Structural properties of grid operators in node implicit operator-difference schemes of two-dimensional gas dynamics on triangular grids and increasing the computational efficiency of object-oriented algorithms
Numerical methods and programming, Tome 13 (2012) no. 2, pp. 352-365.

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The paper is devoted to the analysis of structural properties of grid analogues of invariant differential operators on unstructured triangular grids and to the improvement the object-oriented algorithms for numerical implementation of two-dimensional gas dynamics implicit grid problems for increasing the computational efficiency of these algorithms. The axial-symmetry case in a cylindrical coordinate system is considered. Some node problems are studied when the grid functions are defined and the grid equations are written in the nodes of the grid in use.
Keywords: operator-difference schemes; grid problem; unstructured triangular grids; grid operators; gas dynamics.
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     author = {N. V. Ardelyan and M. N. Sablin},
     title = {Structural properties of grid operators in node implicit operator-difference schemes of two-dimensional gas dynamics on triangular grids and increasing the computational efficiency of object-oriented algorithms},
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     pages = {352--365},
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     url = {http://geodesic.mathdoc.fr/item/VMP_2012_13_2_a7/}
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N. V. Ardelyan; M. N. Sablin. Structural properties of grid operators in node implicit operator-difference schemes of two-dimensional gas dynamics on triangular grids and increasing the computational efficiency of object-oriented algorithms. Numerical methods and programming, Tome 13 (2012) no. 2, pp. 352-365. http://geodesic.mathdoc.fr/item/VMP_2012_13_2_a7/