Finite differences scheme for the Euler system of equations in a class of discontinuous functions
Küçük Resim Yok
Tarih
2005
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Berlin
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 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.
Açıklama
3rd International Conference on Numerical Analysis and Its Applications -- JUN 29-JUL 03, 2004 -- Univ Rousse, Bousse, BULGARIA
Anahtar Kelimeler
computational hydrodynamics, compressible and incompressible flow, Euler systems, numerical modeling, shock waves
Kaynak
Numerical Analysis And Its Applications
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
3401