Grid method for solution of 2D Riemann type problem with two discontinuities having an initial condition [???????? ????? ??i ??i?i?i ??? ????? ????i ??i ??????i ?????i ?????i? ??? ??i?i] [???????? ????? ??????? ????????? ?????? ???? ?????? ? ????? ?????????, ???????? ????????? ?????????]
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
E.A.Buketov Karaganda State University Publish House
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This study aims to obtain the numerical solution of the Cauchy problem for 2D conservation law equation with one arbitrary discontinuity having an initial profile. For this aim, a special auxiliary problem allowing to construct a sensitive method is developed in order to get a weak solution of the main problem. Proposed auxiliary problem also permits us to find entropy condition which guarantees uniqueness of the solution for the auxiliary problem. To compare the numerical solution with the exact solution theoretical structure of the problem under consideration is examined, and then the interplay of shock and rarefaction waves is investigated. © Bulletin of the Karaganda University. Mathematics Series.
Açıklama
Anahtar Kelimeler
2D nonlinear scalar conservation law, finite differences scheme in a class of discontinuous functions, Riemann problem
Kaynak
Bulletin of the Karaganda University. Mathematics Series
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
102
Sayı
2
