scholarly journals A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations

2009 ◽  
Vol 47 (4) ◽  
pp. 2952-2981 ◽  
Author(s):  
Xiaobing Feng ◽  
Michael Neilan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Formulation ◽  
Fully Nonlinear ◽  
Flow Equations ◽  
Characteristic Finite Element ◽  
Element Method

A Generalized Approach to the Dynamics of Cracked Shafts

1989 ◽  
Vol 111 (3) ◽  
pp. 257-263 ◽  
Author(s):  
Changhe Li ◽  
O. Bernasconi ◽  
N. Xenophontidis
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Experimental Method ◽  
The Finite Element Method ◽  
Nonlinear Formulation ◽  
Local Stiffness ◽  
Advanced Model ◽  
Cracked Shafts ◽  
Element Method

A new analytic-experimental method for describing crack breathing and obtaining shaft local stiffness change is presented. A generalized nonlinear formulation using the finite element method, which can be widely used for both horizontal and vertical cracked shafts, is derived. Some results previously explicited in other studies are confirmed and clarified. This advanced model can serve as a solid basis for further studies.

A Finite-Element Method for Through Flow Calculations in Turbomachines

1976 ◽  
Vol 98 (3) ◽  
pp. 403-414 ◽  
Author(s):  
Ch. Hirsch ◽  
G. Warzee
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Axisymmetric Flow ◽  
Axial Flow ◽  
The Finite Element Method ◽  
Flow Equations ◽  
Through Flow ◽  
Method Of Solution ◽  
Element Technique ◽  
Element Method

A new method for the numerical solution of the meridional through-flow equations in an axial flow machine is presented based on the finite-element method. A rigorous derivation of the pitch-averaged flow equations is presented and the assumption of axisymmetric flow leads, with the introduction of a stream function, to the equation to be solved. A description is given of the finite-element technique which is applied in this problem. The method of solution allows the calculation of transonic stages. Numerical results are compared with experimental data and show very satisfactory agreement. This method appears, therefore, to compare very favorably with the other methods used up to now. Although the present results pertain to axial flow machines, the method is easily applicable to radial flow machines as well and the way of solution for this case is indicated.

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