HE RAPID TECHNIQUE FOR COMPUTING 2-D ADIABATIC FLOWS IN COMPRESSIBLE MEDIA USING LAGRANGIAN VARIABLES WITH FREE POINT NEIGHBORHOOD

T. N. Alekseeva, V. A. Bychenkov, V. F. Kuropatenko
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.1. С. 14-21.

      A 2-D difference method is presented for calculating fluid and elastic-plastic flows in Lagrangian coordinates. The method relies upon principles of free points neighborhood. The conservation laws are integrated using Dirichlet cells constructed for these points. The difference scheme is explicit.
      The continuity difference equation approximates the mass conservation law in a differential form and is adapted to the solution at each timestep. A numerical example for the Schultz problem is given.