К расчету поля конечного магнитного цилиндра с внутренним соосным цилиндрическим дефектом

2021 ◽  
Vol 7 ◽  
pp. 11-18
Author(s):  
В.В. Дякин ◽  
О.В. Кудряшова ◽  
В.Я. Раевский
Keyword(s):  
Magnetic Permeability ◽  
Solution Method ◽  
Grid Method ◽  
Coaxial Cylinder ◽  
Finite Cylinder ◽  
Control Problems ◽  
Magnetic Control ◽  
Internal Defect ◽  
Source Data ◽  
Finite Defect

Using the grid method, a numerical solution of the direct problem of magnetostatics for calculating the field of a finite cylinder with a constant magnetic permeability containing an internal inclusion in the form of a coaxial cylinder with a different magnetic permeability is carried out. The algorithm is created for an arbitrary external field. In order to assess the reliability and accuracy of the solution method, the results were tested using precisely solved problems. A comparison is also made with the results of the previously solved problem of a finite defect-free cylinder. The coordinate dependences of the components of the resulting field are constructed for different source data. The program adds to the library of magnetic control problems and can be used for high-quality verification with the results of model experiments, as well as for evaluating the geometric characteristics of an internal defect.

Investigation of Periodic Boundary Conditions in Multipassage Cascade Flows Using Overset Grids

1999 ◽  
Vol 121 (2) ◽  
pp. 341-347 ◽  
Author(s):  
I. H. Tuncer ◽  
S. Weber ◽  
W. Sanz
Keyword(s):  
Solution Method ◽  
Grid Method ◽  
Navier Stokes ◽  
Flow Conditions ◽  
Compressor Cascade ◽  
Overset Grid ◽  
Overset Grids ◽  
Single Passage ◽  
Overset Grid Method ◽  
Background Grid

A Navier–Stokes solution method with overset grids is applied to unsteady multipassage cascade flows, and the unsteady blade loadings are compared against the single-passage solutions with the direct store interblade boundary condition. In the overset grid solutions, the multipassage domain is discretized with O-type grids around each blade and a rectangular background grid. Blade grids are allowed to move in time relative to the background grid, as prescribed by the oscillatory plunging motion. The overset grid method uses a simple, robust numerical algorithm to localize moving intergrid boundary points and to interpolate solution variables across grids. Computational results are presented for two and four-passage, subsonic and transonic flows through a turbine and a compressor cascade. The overset grid solutions over the multipassage periodic domains agree well with the single-passage solutions and the experimental data. It is concluded that the time linearization error introduced by the direct store approach is negligible in the range of flow conditions studied.

scholarly journals Investigation of Periodic Boundary Conditions in Multi-Passage Cascade Flows Using Overset Grids

1998 ◽  
Author(s):  
Ismail H. Tuncer ◽  
Stefan Weber ◽  
Wolfgang Sanz
Keyword(s):  
Solution Method ◽  
Grid Method ◽  
Navier Stokes ◽  
Flow Conditions ◽  
Compressor Cascade ◽  
Overset Grid ◽  
Overset Grids ◽  
Single Passage ◽  
Overset Grid Method ◽  
Background Grid

A Navier-Stokes solution method with overset grids is applied to unsteady multi-passage cascade flows, and the unsteady blade loadings are compared against the single passage solutions with the direct store interblade boundary condition. In the overset grid solutions, the multi-passage domain is discretized with O-type grids around each blade and a rectangular background grid. Blade grids are allowed to move in time relative to the background grid as prescribed by the oscillatory plunging motion. The overset grid method uses a simple, robust numerical algorithm to localize moving intergrid boundary points and to interpolate solution variables across grids. Computational results are presented for two and four passage, subsonic and transonic flows through a turbine and a compressor cascade. The overset grid solutions over the multi-passage periodic domains agree well with the single passage solutions and the experimental data. It is concluded that the time linearization error introduced by the direct store approach is negligible in the range of flow conditions studied.

Computer Analysis of Three-Dimensional Turbulent Flows around Ships' Hulls

1980 ◽  
Vol 194 (1) ◽  
pp. 239-248 ◽  
Author(s):  
N. C. Markatos ◽  
M. R. Malin ◽  
D. G. Tatchell
Keyword(s):  
Differential Equations ◽  
Coordinate System ◽  
Turbulent Flows ◽  
Solution Method ◽  
Initial Conditions ◽  
Three Dimensional ◽  
Grid Method ◽  
Solution Procedure ◽  
The Body ◽  
Cross Sectional

This paper describes a general solution method for three-dimensional, steady, turbulent flows around long, smoothly-shaped bodies, of arbitrary and varying cross-sectional shape. The particular example considered here concerns the flow around the hull of a ship, but the method can equally well be applied to other, similarly shaped bodies such as an aircraft fuselage, or a submarine. Moreover, the basic non-orthogonal grid method described can also be applied to internal flows in irregular shaped passages, or to the prediction of flows around bodies in ducts. The mathematical model consists of the partial differential equations for continuity and three components of momentum, along with a two-equation model of turbulence, and proper modelling of the ship's hull. The solution method utilizes a non-orthogonal coordinate system in the plane normal to the axis of the body, which has one coordinate surface coinciding with the hull surface. This coordinate system is flexible and is easily modified to enable the calculation procedure to handle bulbous ships' hulls, which are of great importance in modern ship design. The differential equations involved are solved numerically after provision of the proper boundary and initial conditions. The solution procedure is a unique one, called ‘partially-parabolic’, as first used by Pratap and Spalding (1). Solutions are presented for flow around ships' hulls, which demonstrate the physical realism of the achieved results and the potential of the present method.

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