Finite difference schemes for solving system equations of gas dynamic in a class of discontinuous functions
Küçük Resim Yok
Tarih
2003
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the difference scheme for solving nonlinear system of equations of gas dynamic problems in a class of discontinuous functions is investigated. Firstly, for some simple cases, the nature of solution of the differential equations describing one-dimensional, constant pressure, and isentropic flow of compressible fluids are considered. It has been proved that the solution of this system equations has discontinuous points whose positions are unknown beforehand. In order to obtain the solution of the main problem in a class of discontinuous functions, the auxiliary problem is suggested. The degree of differentiability of the solution of the auxiliary problem is higher than the degree of differentiability of solution of the main problem. Furthermore, the suggested auxiliary problem provides to write out effective and higher order numerical algorithms. The solutions obtained from these algorithms represent the physical nature of the problem with a high accuracy. Some properties of numerical solution are also investigated. Additionally, some numerical experiments are carried out by means of using the auxiliary problem. (C) 2002 Elsevier Science Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
computational hydrodynamics, numerical modelling, shock waves
Kaynak
Applied Mathematics And Computation
WoS Q Değeri
Q3
Scopus Q Değeri
N/A
Cilt
143
Sayı
1
