Dispersion Analysis of Smoothed Particle Hydrodynamics to Study Convergence and Numerical Phenomena at Coarse Resolution | Sciact - Система учета научной деятельности ИМ СО РАН

Dispersion Analysis of Smoothed Particle Hydrodynamics to Study Convergence and Numerical Phenomena at Coarse Resolution Научная публикация

Журнал

Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349

Вых. Данные

Год: 2022, Том: 13375 LNCS, Страницы: 184-197 Страниц : 14 DOI: 10.1007/978-3-031-10522-7_14

Ключевые слова

Convergence analysis; Numerical dispersion; Smoothed particles hydrodynamics (SPH)

Авторы

Stoyanovskaya O. ¹ , Lisitsa V. ² , Anoshin S. ³ , Markelova T. ¹

Организации

1	Boreskov Institute of Catalysis SB RAS, Lavrentiev Ave. 5, Novosibirsk, 630090, Russian Federation
2	Institute of Mathematics SB RAS, Koptug Ave. 4, Novosibirsk, 630090, Russian Federation
3	Novosibirsk State University, Pirogova, 2, Novosibirsk, 630090, Russian Federation

Информация о финансировании (2)

1	Российский научный фонд	21-71-20003
2	Российский научный фонд	21-19-00429

The Smoothed Particle Hydrodynamics (SPH) method is a meshless Lagrangian method widely used in continuum mechanics simulation. Despite its wide application, theoretical issues of SPH approximation, stability, and convergence are among the unsolved problems of computational mathematics. In this paper, we present the application of dispersion analysis to the SPH approximation of one-dimensional gas dynamics equations to study numerical phenomena that appeared in practice. We confirmed that SPH converges only if the number of particles per wavelength increases while smoothing length decreases. At the same time, reduction of the smoothing length when keeping the number of particles in the kernel fixed (typical convergence results for finite differences and finite elements) does not guarantee the convergence of the numerical solution to the analytical one. We indicate the particular regimes with pronounced irreducible numerical dispersion. For coarse resolution, our theoretical findings are confirmed in simulations.

Stoyanovskaya O. , Lisitsa V. , Anoshin S. , Markelova T.
Dispersion Analysis of Smoothed Particle Hydrodynamics to Study Convergence and Numerical Phenomena at Coarse Resolution
Lecture Notes in Computer Science. 2022. V.13375 LNCS. P.184-197. DOI: 10.1007/978-3-031-10522-7_14 WOS Scopus OpenAlex

Опубликована online:

15 июл. 2022 г.

Web of science:	WOS:000916469700014
Scopus:	2-s2.0-85135029590
OpenAlex:	W4285414554

БД	Цитирований
Scopus	4
Web of science	4