Numerical solution of the isentropic and adiabatic Euler system for political gases in a class of discontinuous functions

Numerical Solution of the Isentropic and Adiabatic Euler System for Political Gases in a Class of Discontinuous Functions As is known, the system of equations often found in hydrodynamics is generally expressed with the help of conservation rules. These equations generally are the first non-linear hyperbolic type system. The basic feature of the system of equations is that their solutions have jumps of unknown locations. These features present significant difficulties in implementing the classical methods in order to find the solution of the equation during their own time. For this reason, special auxiliary problems are included taking into consideration the features found in the problems considered in the thesis and effective numerical algorithms are proposed by using the recommended auxiliary problems.