A CONSERVATIVE SCHEME FOR АХI SYMMETRIC FLOW CALCULATIONS

S. M .Bakhrakh, G. V. Zharova, V. F. Spiridonov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1982. Вып.3. С. 15-21.

      An explicit fully conservative difference scheme for calculating 2-D time-dependent axisymmetric flows in Lagrange coordinates is described. Some difficulties associated with developing fully conservative schemes for an axisymmetric case are discussed. The second part of the paper examines an explicit/implicit version of the explicit scheme derived. The difference schemes proposed are shown, for several classes of problems, to substantially reduce the computations, required to achieve a desired accuracy.