Application of particle splitting method for both hydrostatic and hydrodynamic cases in SPH
- 263 Downloads
Smoothed particle hydrodynamics (SPH) method with numerical diffusive terms shows satisfactory stability and accuracy in some violent fluid–solid interaction problems. However, in most simulations, uniform particle distributions are used and the multi-resolution, which can obviously improve the local accuracy and the overall computational efficiency, has seldom been applied. In this paper, a dynamic particle splitting method is applied and it allows for the simulation of both hydrostatic and hydrodynamic problems. The splitting algorithm is that, when a coarse (mother) particle enters the splitting region, it will be split into four daughter particles, which inherit the physical parameters of the mother particle. In the particle splitting process, conservations of mass, momentum and energy are ensured. Based on the error analysis, the splitting technique is designed to allow the optimal accuracy at the interface between the coarse and refined particles and this is particularly important in the simulation of hydrostatic cases. Finally, the scheme is validated by five basic cases, which demonstrate that the present SPH model with a particle splitting technique is of high accuracy and efficiency and is capable for the simulation of a wide range of hydrodynamic problems.
KeywordsSmoothed particle hydrodynamics Particle splitting Particle refinement Solid wall boundary Fluid–structure interaction
The project was supported by the National Natural Science Foundation of China (Grant 51609049), the Science Foundation of Heilongjiang Province (Grant QC2016061), and the Fundamental Research Funds for the Central Universities (Grants HEUGIP201701, HEUCFJ170109).
- 18.Barcarolo, D.A. Improvement of the precision and the efficiency of the SPH method: theoretical and numerical study. [Ph.D. Thesis], Centrale Nantes, France (2013)Google Scholar
- 20.Marsh, A., Oger, G., Touzé, D.l., et al.: Validation of a conservative variable-resolution SPH scheme including \(\nabla \)h terms. In: The 6th International SPHERIC Workshop, Hambourg, Germany (2011)Google Scholar
- 40.Greco, M.: A two-dimensional study of green-water loading. [Ph.D. Thesis], Norwegian University of Science and Technology, Norway (2001)Google Scholar
- 41.Buchner, B. Green water on ship-type offshore structures. [Ph.D. Thesis], Technische Universiteit Delft, Netherlands (2002)Google Scholar
- 46.Huang, C., Zhang, D.H., Shi, Y.X., et al.: Coupled finite particle method with a modified particle shifting technology. Int. J. Numeri. Methods Eng. 113, 197–207 (2018). https://doi.org/10.1002/nme.5608
- 49.Cai, S.G., Ouahsine, A., Favier, J., et al.: Improved implicit immersed boundary method via operator splitting. In: Ibrahimbegovic, A. (ed.) Computational Methods for Solids and Fluids. Computational Methods in Applied Sciences, vol. 41. Springer, Cham (2016)Google Scholar