Methods for the numerical solution of onedimensional unsteady problems of gasdynamics
Abstract
Finitedifference schemes, developed on the basis of conservativity and homogeneity principles, and tolerating the use of widemesh grids, are proposed for solving systems of onedimensional unsteady equations of gasdynamics. A comparative analysis of finitedifference schemes in the form of systems of nonlinear algebraic equations is carried out. It is shown that Newton's iterative method permits the use of networks with the largest steps in the time variable.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 December 1976
 Bibcode:
 1976ZVMMF..16.1503P
 Keywords:

 Finite Difference Theory;
 Gas Dynamics;
 Nonlinear Equations;
 Numerical Analysis;
 Algebra;
 Convergence;
 Iterative Solution;
 Newton Methods;
 NewtonRaphson Method;
 Shock Wave Propagation;
 Unsteady State;
 Viscosity;
 Fluid Mechanics and Heat Transfer