Numerical Solution of a Hydrodynamics Problem with a Nonlinear Source Function in a Class of Discontinuous Functions

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

American Institute of Physics Inc.

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, a new numerical method is proposed for solving the generalized Buckley-Leverett problem, which describes the movement of two-phase mixtures in Bazhenov bed sediments in a class of discontinuous functions. For this aim, an auxiliary problem that has some advantages over the main problem and is equivalent to the main problem in a definite sense is introduced. By developing an original finite difference method obtained via advantages of the auxiliary problem, it is proposed that the efficient and economical numerical algorithms from a computer point of view for finding the weak solution of the main problem. In addition to these, the auxiliary problem also allows us to obtain the weak solution in a class of discontinuous functions, which accurately describes all physical properties of the problem.

Açıklama

6th International Conference on Analysis and Applied Mathematics, ICAAM 2022 -- 31 October 2022 through 6 November 2022 -- -- 197230

Anahtar Kelimeler

Kaynak

AIP Conference Proceedings

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

3085

Sayı

1

Künye