scholarly journals Transparent Boundary Condition for Calculating Water Waves by a Particle Method

Author(s):  
Kazuya Shibata ◽  
Seiichi Koshizuka ◽  
Mikio Sakai ◽  
Katsuji Tanizawa ◽  
Masaru Tsujimoto
2011 ◽  
Vol 38 (16) ◽  
pp. 1839-1848 ◽  
Author(s):  
Kazuya Shibata ◽  
Seiichi Koshizuka ◽  
Mikio Sakai ◽  
Katsuji Tanizawa

2013 ◽  
Vol 26 (4) ◽  
pp. 515-519 ◽  
Author(s):  
Vishal Vasan ◽  
Bernard Deconinck

2017 ◽  
Vol 112 (7) ◽  
pp. 685-710 ◽  
Author(s):  
Tiangang Zhang ◽  
Seiichi Koshizuka ◽  
Kohei Murotani ◽  
Kazuya Shibata ◽  
Eiji Ishii

2010 ◽  
Vol 656 ◽  
pp. 407-416 ◽  
Author(s):  
YARON TOLEDO ◽  
YEHUDA AGNON

Mild-slope (MS) type equations are depth-integrated models, which predict under appropriate conditions refraction and diffraction of linear time-harmonic water waves. Among these equations, the complementary mild-slope equation (CMSE) was shown to give better agreement with exact two-dimensional linear theory compared to other MS-type equations. Nevertheless, it has a disadvantage of being a vector equation, i.e. it requires solving a system of two coupled partial differential equations. In addition, for three-dimensional problems, there is a difficulty in constructing the additional boundary condition needed for the solution. In the present work, it is shown how the vector CMSE can be transformed into an equivalent scalar equation using a pseudo-potential formulation. The pseudo-potential mild-slope equation (PMSE) preserves the accuracy of the CMSE while avoiding the need of an additional boundary condition. Furthermore, the PMSE significantly reduces the computational effort relative to the CMSE, since it is a scalar equation. The accuracy of the new model was tested numerically by comparing it to laboratory data and analytical solutions.


Author(s):  
Yasuhiro Aida ◽  
Koichi Masuda ◽  
Tomoki Ikoma ◽  
Hiroaki Eto

Abstract One of the reasonable methods to analyze the collision force of a tsunami drifting object against a structure is a particle method. However, when both the structure and the drifting body are composed of particles, there are various problems such as particles of the collision object slipping through particles of the structure. Therefore, the authors have constructed a particle method - analytical solution hybrid method which can analyze the collision force of a tsunami drifting object to an elastic member by constructing a structure as a boundary condition acting on a drifting object. However, since this boundary was introduced as a virtual boundary that acts only on drifting particles, the collision force of the tsunami drifting object to the structure can be analyzed, but the fluid force can’t be analyzed. Therefore, in this study, in addition to the boundary condition as the structure, we further reconstructed the collision force and the fluid force as a method that can analyze the collision force and the fluid force simultaneously by setting the mirror particle boundary condition for the fluid particle. By developing this method, it became possible to calculate the collision force in a situation where a stagnation point occurs like a flow field at the front of the wall type structure, and the drifting object is decelerating.


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