Abstract
A meshless numerical simulation method, the moving-particle semi-implicit method (MPS) is presented in this paper to study the sloshing phenomenon in ocean and naval engineering. As a meshless method, MPS uses particles to replace the mesh in traditional methods, the governing equations are discretized by virtue of the relationship of particles, and the Poisson equation of pressure is solved by incomplete Cholesky conjugate gradient method (ICCG), the free surface is tracked by the change of numerical density. A numerical experiment of viscous liquid sloshing tank was presented and compared with the result got by the difference method with the VOF, and an additional modification step was added to make the simulation more stable. The results show that the MPS method is suitable for the simulation of viscous liquid sloshing, with the advantage in arranging the particles easily, especially on some complex curved surface.
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Foundation item: Supported by the National Natural Science Foundation under Grant No.50579035.
PAN Xu-jie was born in 1980. He is a Ph.D candidate at Shanghai Jiaotong University. His current research interests include computational fluid dynamics.
Zhang Huai-xin was born in 1961. She is a professor at Shanghai Jiaotong University. Her current research interests include computational fluid dynamics.
Lu Yun-Tao was born in 1982. He received his master degree at Shanghai Jiaotong University in 2008.
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Pan, Xj., Zhang, Hx. & Lu, Yt. Numerical simulation of viscous liquid sloshing by moving-particle semi-implicit method. J. Marine. Sci. Appl. 7, 184–189 (2008). https://doi.org/10.1007/s11804-008-7047-3
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DOI: https://doi.org/10.1007/s11804-008-7047-3
Keywords
- sloshing
- liquid tank
- viscous fluid
- incompressible fluid
- free surface
- meshless
- moving-particle semi-implicit method (MPS)