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Jiajia Pan and Hung Tao Shen
A two-dimensional wave model coupled with ice dynamics is developed to evaluate ice effects on shallow water wave propagation on a beach and in a channel. The nonlinear Boussinesq equations with ice effects are derived and solved by the hybrid technique ...
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Noori Y. Abdul-Hassan, Zainab J. Kadum and Ali Hasan Ali
In this paper, we propose a new numerical scheme based on a variation of the standard formulation of the Runge?Kutta method using Taylor series expansion for solving initial value problems (IVPs) in ordinary differential equations. Analytically, the accu...
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Jiaming Xiong, Song Sang, Xiao Shi and Chaojie Gan
This study investigates the vertical-type submerged floating tunnel with anchor cables. Based on the characteristics of the anchor cables, the anchor cables are simplified as a nonlinear beam model with hinged ends. Disregarding the axial displacement of...
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Zereng Chen, Qinghe Zhang, Guoquan Ran and Yang Nie
A wetting and drying treatment for a three-dimensional discontinuous Galerkin hydrodynamic model without mode splitting (external and internal modes) was developed. In this approach, computing elements are classified into wet, dry, and semidry elements, ...
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Grzegorz Ilewicz and Edyta Ladyzynska-Kozdras
The surgical robots currently used in cardiac surgery are equipped with a remote center of motion (RCM) mechanism that enables the required spherical workspace. The dynamics model of the surgical robot?s RCM mechanism presented in this work includes a di...
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Jianmin Wen, Chenqi Fu, Hong Zhang and Bindi You
The internal beveloid gear has good scientific research value and a broad application field. However, there is a lack of research on the nonlinear vibration characteristics of internal beveloid gears. The present study establishes a nonlinear vibration m...
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Chengyan Wang, Yuanting Zou, Ji Huang and Chia-Ming Fan
The moving pseudo-boundary method of fundamental solutions (MFS) was employed to solve the Laplace equation, which describes the potential flow in a two-dimensional (2D) numerical wave tank. The MFS is known for its ease of programming and the advantage ...
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Zacharoula Kalogiratou and Theodoros Monovasilis
Two-Derivative Runge?Kutta methods have been proposed by Chan and Tsai in 2010 and order conditions up to the fifth order are given. In this work, for the first time, we derive order conditions for order six. Simplifying assumptions that reduce the numbe...
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Zhuowei Zhou and Ningchuan Zhang
Existing numerical models for direct simulations of stochastically directional waves are limited by their computational burden, and only a few of them can be applied to modeling directional waves on account of nonlinear evolutions on large time scales. I...
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Lele Chu, Bo Ai, Yubo Wen, Qingtong Shi, Huadong Ma and Wenjun Feng
The particle system is widely used in vector field feature visualization due to its dynamics and simulation. However, there are some defects of the vector field visualization method based on the Euler fields, such as unclear feature expression and discon...
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