NUMERICAL EULER IAN-LAGRANGIAN TECHNIQUE FOR SOLVING 3-D TIME-DEPENDENT PROBLEMS IN GAS DYNAMICS WITH RESPECT TO HEAT CONDUCTION

B. L. Voronin, S. I. Skrypnik, I. D. Sofronov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.3. С. 3-8.

      We formulate a numerical Eulerian-Lagrangian technique for solving 3-D time-dependent problems in gas dynamics with respect to heat conduction. Its main features are existence of two mutually orthogonal Eulerian and one Lagrangian coordinates with coordinate surfaces including material interfaces: possibility to use Cartesian and curvilinear coordinates in the calculations:splitting by directions and physical processes: possibility of combining different physical regions from 3-D and 1-D calculations. Splitting by directions permits to solve not only 3-D, but also 2-D and 1-D gas dynamics and heat conduction problems. Numerical results are presented for 3-D gas dynamics and heat conduction test problems solved with a program which implements this technique.