Rasulov, MKaraguler, T2024-03-132024-03-1320053-540-24937-00302-9743https://hdl.handle.net/20.500.12662/32973rd International Conference on Numerical Analysis and Its Applications -- JUN 29-JUL 03, 2004 -- Univ Rousse, Bousse, BULGARIAIn this paper, the finite difference scheme for solving the Cauchy problem for the simplified Euler system in a class of discountinuous functions, which describes irrational flow of fluid by neglecting the viscosity and temperature effects is investigated. For this purpose, firstly the Euler system is decomposed with respect to its coordinates. Then an auxiliary problem which is superiour to the main problem in terms of obtaining the solution is introduced, and shown that the solutions of this auxiliary problem are smoother than the solutions of the main problem. Additionally, the auxiliary problem provides to develop effective and efficient algorithms.eninfo:eu-repo/semantics/closedAccesscomputational hydrodynamicscompressible and incompressible flowEuler systemsnumerical modelingshock wavesConference Object2-s2.0-24144459876477Q34713401WOS:000229020800057N/A