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

• Published in: Journal of marine science and application Vol. 10; no. 4; pp. 399 - 412
• Main Authors: Hu, Zhenhong, Zheng, Xing, Duan, Wenyang, Ma, Qingwei
• Format: Journal Article
• Language: English
• Published: Heidelberg Harbin Engineering University 01.12.2011; College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China%School of Engineering and Mathematical Science, City University, London EC1V0HB, UK
• Subjects: Electrical Machines and Networks; Engineering; Geotechnical Engineering & Applied Earth Sciences; Machinery and Machine Elements; Offshore Engineering; Power Electronics; Research Papers; SPH方法; 应用; 数值方法; 模拟; 水波; 泰勒级数展开; 粒子动力学; 粒子方法; meshless method; SPH; K2_SPH; water wave simulation
• ISSN: 1671-9433; 1993-5048
• DOI: 10.1007/s11804-011-1085-y

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.