APPLICATION OF ANTIDIFFUSION FLOW-CORRECTED TO TECHNIQUE COMPUTING 2D GAS DYNAMICS FLOWS IN LAGRANGE-EULER VARIABLES

S. M. Bakhrakh, V. F. Spiridonov, L. Ya. Trofimova, A. A. Shanin
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1985. Вып.2. С. 76-86.

      A method for computing 2D axisymmetric gas dynamics flows in Lagrange-Euler variables is presented. For the accuracy of the convective terms to be improved an antidiffusion flow-corrected technique (FCT) is used, applied in case of arbitrary 2D Lagrange-Euler mesh. Antidiffusion flow correction algorithms are considered, that provide the laws of conservation of mass, energy, and momentum and priciple of maximum for ρ, ρ_u, ρξ to be met. Conditions are formulated, at which the correction formulas, along with meeting conservation laws, provide the principle of maximum for density, specific energy, and velocity. Application of FCT method is discussed as for improvement of computationnal accuracy for inhomogeneous (consisting of several matters) medium gas dynamics flows. Computational results are given demonstrating the efficiency of the method suggested.