Smoothed-particle hydrodynamics

Flow around cylinder with free surface modelled with SPH. See^[1] for similar simulations.

Smoothed-particle hydrodynamics (SPH) is a computational method used for simulating the mechanics of continuum media, such as solid mechanics and fluid flows. It was developed by Gingold and Monaghan^[2] and Lucy^[3] in 1977, initially for astrophysical problems. It has been used in many fields of research, including astrophysics, ballistics, volcanology, and oceanography. It is a meshfree Lagrangian method (where the co-ordinates move with the fluid), and the resolution of the method can easily be adjusted with respect to variables such as density.

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^ Gingold, Robert A.; Monaghan, Joseph J. (1977). "Smoothed particle hydrodynamics: theory and application to non-spherical stars". Monthly Notices of the Royal Astronomical Society. 181 (3): 375–89. Bibcode:1977MNRAS.181..375G. doi:10.1093/mnras/181.3.375.
^ L.B. Lucy (1977). "A numerical approach to the testing of the fission hypothesis". Astron. J. 82: 1013–1024. Bibcode:1977AJ.....82.1013L. doi:10.1086/112164.

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[2] Gingold, Robert A.; Monaghan, Joseph J. (1977). "Smoothed particle hydrodynamics: theory and application to non-spherical stars". Monthly Notices of the Royal Astronomical Society. 181 (3): 375–89. Bibcode:1977MNRAS.181..375G. doi:10.1093/mnras/181.3.375.

[3] L.B. Lucy (1977). "A numerical approach to the testing of the fission hypothesis". Astron. J. 82: 1013–1024. Bibcode:1977AJ.....82.1013L. doi:10.1086/112164.

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