The finite differences scheme for the first order system of nonlinear differential equations in a class of discontinuous functions
Küçük Resim Yok
Tarih
2004
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the finite difference scheme for solving the Cauchy problem for the simplified Euler system in a class of discontinuous 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 superior to the main problem in terms of obtaining the solution is introduced, and the solutions of this auxiliary problem are smoother than the solutions of the main problem. Additionally, the auxiliary problem provides to develop effective and economical algorithms. (C) 2003 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
computational hydrodynamics, compressible and incompressible flow, Euler systems, numerical modeling, shock waves
Kaynak
Applied Mathematics And Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
154
Sayı
3
