SOME PROBLEMS CONCERNING FULLY CONSERVATIVE DIFFERENCE SCHEMES FOR COMPUTING TWO-DIMENTIONAL AXI SYMMETRIC GAS DYNAMICS FLOWS

S. M. Bakhrakh, V. F. Spiridonov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1987. Вып.2. С. 11-19.

      Analytical full-energy disbalance estimates are obtained which are associated with various means of derivation of operator "grad" in difference schemes which is invariant relatively to three types of flow symmetry (plane, cylindrical, spherical). The effect of the time and space disagreement of difference schemes on energetic disbalance quantity in the numerical solution, as well as associated accuracy decrease, are illustrated by two test problems, the solution of one of which has been obtained by the authors.