Numerical Simulation of Tank Discharge Using Smoothed Particle Hydrodynamics

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Abstract:

The study concerns the application of the smoothed particle hydrodynamics (SPH) method within computational fluid dynamics. In the present study, a tank discharge with a falling head is investigated. Water is modelled as a viscous fluid with weak compressibility. An enhanced treatment of the solid boundaries is used within the two-dimensional SPH scheme. The boundaries are represented by a special set of SPH particles that differ from the ones representing the fluid by being immovable, preventing the fluid from leaving the container. Particles with different colors are used to illustrate the sequence of the empting the tank as well as the velocity vectors to show stream lines. A code is developed using C++ to solve all equations explicitly by use of a Verlet algorithm. Results are compared to an analytical solution, and a good agreement is achieved.

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168-173

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May 2014

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[1] McKee, S., et al., The MAC method. Computers & Fluids, 2008. 37(8): pp.907-930.

Google Scholar

[2] Monaghan, J.J., Simulating free surface flows with SPH. Journal of computational physics, 1994. 110(2): pp.399-406.

DOI: 10.1006/jcph.1994.1034

Google Scholar

[3] Monaghan, J., Smoothed particle hydrodynamics and its diverse applications. Annual Review of Fluid Mechanics, 2012. 44: pp.323-346.

DOI: 10.1146/annurev-fluid-120710-101220

Google Scholar

[4] Li, S. and W.K. Liu, Meshfree particle methods. 2004, Berlin ; New York Springer. iii, 502 p.

Google Scholar

[5] Colagrossi, A., A Meshless Lagrangian Method for Free–Surface and Interface Flows with Fragmentation. 2003, Universit`a di Roma La Sapienza.

Google Scholar

[6] Liu, G.R. and M.B. Liu, Smoothed particle hydrodynamics : a meshfree particle method. 2005, New Jersey: World Scientific. xx, 449 p.

Google Scholar

[7] Macdonald, J.R., Some simple isothermal equations of state. Reviews of Modern Physics, 1966. 38(4): p.669.

DOI: 10.1103/revmodphys.38.669

Google Scholar

[8] Marrone, S., et al. Enhanced Boundary Treatment in 2D Smoothed Particle Hydrodynamics Models. in Proceedings of XIX Congress AIMETA. (2009).

Google Scholar