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

Q3

Scopus Q Değeri

Q1

Cilt

154

Sayı

3

Künye