scholarly journals LIMIT WAVES ON HORIZONTAL SEA FLOOR

1986 ◽  
Vol 1 (20) ◽  
pp. 41
Author(s):  
Chia-Chi Lu ◽  
John D. Wang ◽  
Bernard Le Mehaute
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Boundary Integral Equation ◽  
Gravity Waves ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Wave Crest ◽  
Solution Technique ◽  
Sea Floor ◽  
Surface Gravity Waves

A numerical solution to periodic nonlinear irrotational surface gravity waves on a horizontal sea floor is developed using an iterative Boundary Integral Equation Method (BIEM). This solution technique is subsequently applied to determine the characteristics of limit waves for which the wave crest theoretically ceases to be rounded and become angled with an included angle of 120 degrees.

A Boundary Integral Equation Method for the Study of Slow Flow in Bearings With Arbitrary Geometries

1984 ◽  
Vol 106 (2) ◽  
pp. 260-264 ◽  
Author(s):  
M. A. Kelmanson
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Equations Of Motion ◽  
Integral Equation Method ◽  
Arbitrary Cross Section ◽  
Boundary Integral ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Solution Technique ◽  
Slow Flow

This paper investigates the steady slow flow of an incompressible viscous fluid in the region between an inner circular cylinder rotating with constant angular velocity and an outer stationary cylinder of arbitrary cross section. The numerical solution technique known as the boundary integral equation method is employed in which the governing partial differential equations of motion are recast into coupled integral equations by repeated applications of the divergence theorem. The method is applied to the two dimensional flow within the eccentric journal bearing, and it is found that certain aspects of previous analytic treatments of this bearing have been in error. An extension of the method is applied to solve for the flow within an elliptical bearing, for which no analytic solution or numerical results are available. This extension is able to solve for the flow within any bearing geometry, however complex. It is found that the present method is particularly suited to the prediction of flow separation within noncircular bearings, and it is hoped that these results and techniques will lead to a better understanding of the conditions causing the phenomenon of cavitation.

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