scholarly journals The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers

2013 ◽  
Vol 37 (4) ◽  
pp. 2337-2351 ◽  
Author(s):  
Hossein Hosseinzadeh ◽  
Mehdi Dehghan ◽  
Davoud Mirzaei
1975 ◽  
Vol 41 (347) ◽  
pp. 2183-2187
Author(s):  
Hideo YAMADA ◽  
Koki OKAMOTO ◽  
Michio HIRAMATSU ◽  
Toshihiko YASUI

2013 ◽  
Vol 10 (06) ◽  
pp. 1350042 ◽  
Author(s):  
MOHSEN DASHTI-ARDAKANI ◽  
MAHMUD KHODADAD

The boundary elements method (BEM), manipulated genetic algorithm (MGA), conjugate gradient method (CGM), and cubic spline interpolation (CSI) are implemented to identify the shape of a cavity located inside a 2D solid body using displacements measured from a biaxial tension test. A fitness function which is defined as the squared differences between the computed and measured displacements is minimized. The BEM is used to solve the direct 2D elastostatics problem for the boundary displacements. The MGA is used as a robust explorer to find the best circular initial guess needed by the CGM to achieve convergence. The CSI is finally employed to draw the best curve through the points found by the CGM which depict the boundary of the cavity. Several example problems with different shapes of the cavity such as elliptic, pear, heart and egg shaped are solved. The effects of the size of cavity and measurement errors on the estimation process are investigated.


AIAA Journal ◽  
1977 ◽  
Vol 15 (9) ◽  
pp. 1350-1353
Author(s):  
Gustave J. Hokenson

Author(s):  
Rafael A. Watai ◽  
Felipe Ruggeri ◽  
Alexandre N. Simos

This paper presents a time domain boundary elements method that accounts for relative displacements between two bodies subjected to incoming waves. The numerical method solves the boundary value problem together with a re-meshing scheme that defines new free surface panel meshes as the bodies displace from their original positions and a higher order interpolation algorithm used to determine the wave elevation and the velocity potential distribution on new free surface collocation points. Numerical solutions of exciting forces and wave elevations are compared to data obtained in a fundamental experimental text carried out with two identical circular section cylinders, in which one was attached to a load cell and the other was forced to move horizontally with a large amplitude oscillatory motion under different velocities. The comparison of numerical and experimental result presents a good agreement.


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