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

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 proble...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2019-03, Vol.60 (2), p.382-391
Main Author: Belykh, V. N.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Computational fluid dynamics
Dirichlet problem
Fluid flow
Fluid- and Aerodynamics
Free surfaces
Incompressible flow
Incompressible fluids
Laplace equation
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Neumann problem
Numerical methods
Physics
Physics and Astronomy
Smoothness
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Summary: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.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894419020196