Finite volume methods for laminar and turbulent flows using a penalty function approach

1994 ◽  
Vol 18 (8) ◽  
pp. 733-746 ◽  
Author(s):  
J. Simoneau ◽  
A. Pollard
Keyword(s):  
Turbulent Flows ◽  
Finite Volume ◽  
Penalty Function ◽  
Finite Volume Methods ◽  
Function Approach ◽  
Laminar And Turbulent Flows ◽  
Penalty Function Approach

scholarly journals Penalty Function Finite Element Analysis of Steady Viscous Incompressible Flow in Rotating Coordinates

1984 ◽  
Author(s):  
M. C. Rosen ◽  
P. E. Allaire ◽  
J. G. Rice
Keyword(s):  
Finite Element ◽  
Turbulent Flows ◽  
Penalty Function ◽  
Experimental Measurements ◽  
Element Analysis ◽  
Viscous Incompressible Flow ◽  
Incompressible Viscous Flow ◽  
Rotating Coordinates ◽  
Rotating Channel ◽  
Laminar And Turbulent Flows

Finite element methods for incompressible viscous flow in turbomachines have not been presented in the literature previously. This paper develops a penalty function primitive variable method including Coriolis and centrifugal force terms for steady flow in a rotating coordinate system. Simplex elements are used with the result of solution times comparable to equivalent finite different solutions. Example cases considered are Couette flow, Poiseuille flow, flow over a step and flow in a rotating channel. Both laminar and turbulent flows are discussed. The accuracy of computed solutions compares well with theoretical solutions and experimental measurements.

Optimum Synthesis of Path-Generating Four-Bar Mechanisms

1975 ◽  
Vol 97 (1) ◽  
pp. 314-321 ◽  
Author(s):  
N. Bakthavachalam ◽  
J. T. Kimbrell
Keyword(s):  
Penalty Function ◽  
Gradient Method ◽  
Optimization Problem ◽  
Inequality Constraints ◽  
Unconstrained Minimization ◽  
Function Approach ◽  
Optimum Synthesis ◽  
Penalty Function Approach

Synthesis of path-generating four-bar mechanisms is considered as an optimization problem under inequality constraints. The penalty function approach is used. The effects of clearances and tolerances in manufacture are considered in order to make sure that the inequality constraints are within the acceptable tolerance during the required motion. Modifications are introduced in the gradient method, and sequential unconstrained minimization techniques are used in the process of minimization. A typical example under various conditions is presented in order to study the effectiveness of the technique.

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