AN IMPLICIT DIFFERENCE SCHEME FOR SOLVING GAS DYNAMICS EQUATIONS WITH LAGRANGIAN VARIABLES

V. I. Delov, L. V. Dmitrieva, A. M. Pastushenko, S. Yu. Suslova
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1984. Вып.3. С. 13-18.

      A 1-D implicit unconditionally stable difference scheme is developed for solving 1-D numerical problems in gas dynamics. The differential equation discretization involves the same mesh distribution as for the classical "Crest" scheme using velocity values from semi-integral times. Finite-difference equations are solved by an iteration method which does not require a time step limitation similar to the Courant condition to converge. The performonce of the scheme developed is demonstrated for two test problems.