K2_SPH Method and its Application for 2-D Water Wave Simulation

Zhenhong Hu; Xing Zheng; Wenyang Duan; Qingwei Ma

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K2_SPH Method and its Application for 2-D Water Wave Simulation

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Smoothed Particle Hydrodynamics(SPH)is a Lagrangian meshless particle method.However,its low accuracy of kernel approximation when particles are distributed disorderly or located near the boundary is an obstacle standing in the way of its wide application.Adopting the Taylor series expansion method and solving the integral equation matrix,the second order kernel approximation method can be obtained,namely K2_SPH,which is discussed in this paper.This method is similar to the Finite Particle Method.With the improvement of kernel approximation,some numerical techniques should be adopted for different types of boundaries,such as a free surface boundary and solid boundary,which are two key numerical techniques of K2_SPH for water wave simulation.This paper gives some numerical results of two dimensional water wave simulations involving standing wave and sloshing tank problems by using K2_SPH.From the comparison of simulation results,the K2 SPH method is more reliable than standard SPH.

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《船舶与海洋工程学报（英文版）》 |2011年第4期|399-412|共14页
作者
Zhenhong Hu; Xing Zheng; Wenyang Duan; Qingwei Ma;
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College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China;

College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China;

College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China;

School of Engineering and Mathematical Science, City University, London EC1V0HB, UK;

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K2_SPH Method and its Application for 2-D Water Wave Simulation

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