Analysis of configurations arising in the decay of an arbitrary discontinuity
Abstract
The classical problem in mechanics of the decay of an arbitrary discontinuity is important for computational mathematics as an element of Godunov's finitedifference method. This paper examines the first part of the problem, i.e., the determination of the type of decay in the case of the equations of state of real media. A new approach to the analysis of types of decay configurations is presented; it involves the determination of the sign of four functions, two of which are found precisely, while two are found approximately.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 June 1981
 Bibcode:
 1981ZVMMF..21..748S
 Keywords:

 Computational Fluid Dynamics;
 Equations Of State;
 Finite Difference Theory;
 Flow Stability;
 Shock Discontinuity;
 Adiabatic Equations;
 Boundary Value Problems;
 Ideal Gas;
 Numerical Integration;
 Shock Wave Interaction;
 Singularity (Mathematics);
 Specific Heat;
 Fluid Mechanics and Heat Transfer