Domain decomposition methods for boundary integral equations of the first kind: numerical results

1996 ◽  
Vol 63 (1-2) ◽  
pp. 111-132 ◽  
Author(s):  
Maischak Matthias ◽  
Ernst P. Stephen ◽  
Tran Thanh
Keyword(s):  
Domain Decomposition ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Decomposition Methods ◽  
Boundary Integral ◽  
Numerical Results ◽  
Domain Decomposition Methods

Effects of Fluid Motions in Liquid Tanks on Vessel Motions Using a Simple Panel Method1

2015 ◽  
Vol 138 (1) ◽  
Author(s):  
Yusong Cao ◽  
Fuwei Zhang
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Added Mass ◽  
Boundary Integral ◽  
Numerical Results ◽  
Panel Method ◽  
Fast Method ◽  
Stiffness Matrices

This paper presents a simple and fast method to include the effect of liquid tanks of a vessel in the prediction of the vessel motions. The effects are expressed in terms of modifications to the added mass and stiffness matrices of the vessels calculated with the liquids in the tanks assumed being rigid. The flows in the liquid tanks are solved using a panel method based on the desingularized boundary integral equations (DBIEs). The numerical results were validated by the experiments of a square tank partially filled. An application example for a vessel with two internal liquid tanks is demonstrated.

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