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. 1318.
A 1D implicit unconditionally stable difference scheme is developed for solving 1D numerical problems in gas dynamics. The differential equation discretization involves the same mesh distribution as for the classical "Crest" scheme using velocity values from semiintegral times. Finitedifference 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.
