Numerical Implementation of Nonstationary Axisymmetric Problems of an Ideal Incompressible Fluid with a Free Surface

Numerical Implementation of Nonstationary Axisymmetric Problems of an Ideal Incompressible Fluid with a Free Surface Full article

Journal

Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944

Output data

Year: 2019, Volume: 60, Number: 2, Pages: 382-391 Pages count : 10 DOI: 10.1134/S0021894419020196

Tags

axial symmetry; Dirichlet–Neumann problem; free surface; ideal fluid; non-stationary problem; unsaturated numerical method

Authors

Belykh V.N. ¹

Affiliations

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation

A fundamentally new unsaturated technique for the numerical solution of the Dirichlet–Neumann problem for the Laplace equation was developed. This technique makes it possible, due to the smoothness of the sought solution of the problem, to take into account the axisymmetric specificity of the problem which is an insurmountable obstacle to any saturated numerical methods, i.e., methods with a leading error term. © 2019, Pleiades Publishing, Ltd.

Belykh V.N.
Numerical Implementation of Nonstationary Axisymmetric Problems of an Ideal Incompressible Fluid with a Free Surface
Journal of Applied Mechanics and Technical Physics. 2019. V.60. N2. P.382-391. DOI: 10.1134/S0021894419020196 WOS Scopus OpenAlex

Белых В.Н.
О проблеме численной реализации нестационарных осесимметричных задач идеальной несжимаемой жидкости со свободной поверхностью
Прикладная механика и техническая физика. 2019. Т.60. №2. С.226-237. DOI: 10.15372/PMTF20190219 РИНЦ OpenAlex

Web of science:	WOS:000470672500019
Scopus:	2-s2.0-85066619751
OpenAlex:	W2948224217

DB	Citing
Scopus	1
OpenAlex	2
Web of science	1