Euler solution of axisymmetric flows about bodies of revolution using a multigrid method

1985 ◽  
Author(s):  
C. WOAN
Keyword(s):  
Multigrid Method ◽  
Bodies Of Revolution ◽  
Euler Solution

Unconditionally stable Laguerre-based BOR-FDTD scheme for scattering from bodies of revolution

2007 ◽  
Vol 49 (8) ◽  
pp. 1897-1900 ◽  
Author(s):  
Hai-Lin Chen ◽  
Bin Chen ◽  
Yan-Tao Duan ◽  
Yun Yi ◽  
Da-Gang Fang
Keyword(s):  
Bodies Of Revolution ◽  
Unconditionally Stable

scholarly journals Optical Inspection Systems for Axisymmetric Parts with Spatial 2D Resolution

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1218
Author(s):  
Aleksandr Kulchitskiy
Keyword(s):  
Control System ◽  
Optical System ◽  
Measurement Accuracy ◽  
Experimental Studies ◽  
Digital Camera ◽  
Digital Cameras ◽  
Bodies Of Revolution ◽  
Optical Inspection ◽  
Inspection Systems ◽  
Projection Error

The article proposes a solution to the problem of increasing the accuracy of determining the main shaping dimensions of axisymmetric parts through a control system that implements the optical method of spatial resolution. The influence of the projection error of a passive optical system for controlling the geometric parameters of bodies of revolution from the image of its sections, obtained by a digital camera with non-telecentric optics, on the measurement accuracy is shown. Analytical dependencies are derived that describe the features of the transmission of measuring information of a system with non-telecentric optics in order to estimate the projection error. On the basis of the obtained dependences, a method for compensating the projection error of the systems for controlling the geometry of the main shaping surfaces of bodies of revolution has been developed, which makes it possible to increase the accuracy of determining dimensions when using digital cameras with a resolution of 5 megapixels or more, equipped with short-focus lenses. The possibility of implementing the proposed technique is confirmed by the results of experimental studies.

scholarly journals A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM

2021 ◽  
Vol 47 (1) ◽  
pp. 1-27
Author(s):  
Thomas C. Clevenger ◽  
Timo Heister ◽  
Guido Kanschat ◽  
Martin Kronbichler
Keyword(s):  
Multigrid Method ◽  
Geometric Multigrid Method ◽  
Geometric Multigrid
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