The semi-smooth Newton method for solving the Stokes flow under the leak boundary condition

2019 ◽  
Author(s):  
Radek Kučera ◽  
Kristina Motyčková ◽  
Václav Šátek ◽  
Jaroslav Haslinger ◽  
Taoufik Sassi
Keyword(s):  
Boundary Condition ◽  
Newton Method ◽  
Stokes Flow

Transient Stokes Flow in a Wedge

1987 ◽  
Vol 54 (1) ◽  
pp. 203-208 ◽  
Author(s):  
Bohou Xu ◽  
E. B. Hansen
Keyword(s):  
Finite Element Method ◽  
Boundary Condition ◽  
Finite Element ◽  
Boundary Element Method ◽  
Circular Cylinder ◽  
Stokes Flow ◽  
Constant Velocity ◽  
Transient Flow ◽  
The Finite Element Method ◽  
Element Method

The transient flow in the sector region bounded by two intersecting planes and a circular cylinder is determined in the Stokes approximation. The plane boundaries are assumed to be at rest while the cylinder is rotating with a constant velocity starting at t = 0. The problem is solved by means of three different methods, a finite element, a finite difference, and a boundary element method. The corresponding problem in which the constant velocity boundary condition on the cylinder is replaced by a condition of constant stress is also solved by means of the finite element method.

ON A LUBRICATION PROBLEM WITH FOURIER AND TRESCA BOUNDARY CONDITIONS

2004 ◽  
Vol 14 (06) ◽  
pp. 913-941 ◽  
Author(s):  
MAHDI BOUKROUCHE ◽  
GRZEGORZ ŁUKASZEWICZ
Keyword(s):  
Boundary Condition ◽  
Asymptotic Behavior ◽  
Free Boundary ◽  
Stokes Flow ◽  
Reynolds Equation ◽  
Friction Condition ◽  
The Other ◽  
One Dimension ◽  
Limit Velocity ◽  
Pressure Distributions

The asymptotic behavior of a Stokes flow with Fourier boundary condition on one part on the boundary and Tresca free boundary friction condition on the other, when one dimension of the fluid domain tends to zero is studied. The strong convergence of the velocity is proved, a specific Reynolds equation is obtained, and the uniqueness of the limit velocity and pressure distributions is established.

scholarly journals Effective boundary condition for Stokes flow over a very rough surface

2013 ◽  
Vol 254 (8) ◽  
pp. 3395-3430 ◽  
Author(s):  
Youcef Amirat ◽  
Olivier Bodart ◽  
Umberto De Maio ◽  
Antonio Gaudiello
Keyword(s):  
Boundary Condition ◽  
Rough Surface ◽  
Stokes Flow ◽  
Effective Boundary ◽  
Effective Boundary Condition
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