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Bibliography

​​​Wikipedia

Wikipedia entry on SPH: https://en.wikipedia.org/wiki/Smoothed-particle_hydrodynamics

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Books​

  • G R Liu: Mesh Free Methods - Moving Beyond the finite element method, 712 pages, CRC Press, 2002, ISBN: 0849312388. [Link]

  • G R Liu and M B Liu: Smoothed Particle Hydrodynamics: A Meshfree Particle Method, 472 pages, World Scientific, 2003, ISBN: 981-238-456-1. [Link]

  • S Li and W K Liu: Meshfree Particle Methods, 502 pages, Springer, 2004, ISBN: 3-540-22256-1. [Link]

  • D Violeau: Fluid Mechanics and the SPH Method - Theory and Applications, 616 pages, Oxford University Press, 2012, ISBN: 10: 0199655529. [Link]

  • M B Liu and G R Liu: Particle Methods for Multi-scale and Multi-physics, 400 pages, World Scientific Pub Co Inc, 2015, ISBN: 9814571695. [Link]

  • C A D Fraga Filho: Smoothed Particle Hydrodynamics: Fundamentals and Basic Applications in Continuum Mechanics, 258 pages, Springer, 2019. [Link]

  • T. Belytschko, J S Chen, M Hillman: Meshfree and Particle Methods: Fundamentals and Applications, 332 pages, Wiley, 2023. [Link]

  • H Gotoh and A Khayyer: Advanced Particle Methods, 284 pages, Springer, 2025, ISBN: 9819779324. [Link]

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Review Articles​​

  • Monaghan, J. J. 1992. “Smoothed Particle Hydrodynamics.”, Annual Review of Astronomy and Astrophysics 30:543-74. doi: 10.1146/annurev.aa.30.090192.002551. [Link]

  • Monaghan, J. J. 2005. “Smoothed particle hydrodynamics.”, Reports on Progress in Physics 68 (8):1703. doi: 10.1088/0034-4885/68/8/R01. [Link]

  • Violeau, D., and R. Issa. 2007. “Numerical modelling of complex turbulent free-surface flows with the SPH method: an overview.”, International Journal for Numerical Methods in Fluids 53 (2):277-304. doi: 10.1002/fld.1292. [Link]

  • Cleary, P.W., M. Prakash, J. Ha, N. Stokes, and Craig S. 2007. “Smooth particle hydrodynamics: status and future potential.”, Progress in Computational Fluid Dynamics, an International Journal 7 (2-4):70-90. doi: 10.1504/pcfd.2007.013000. [Link]

  • Vignjevic, R., and J. Campbell. 2009. “Review of Development of the Smooth Particle Hydrodynamics (SPH) Method.”, In Predictive Modeling of Dynamic Processes: A Tribute to Professor Klaus Thoma, edited by Stefan Hiermaier, 367-96. Boston, MA:
    Springer US. [Link]

  • Gomez-Gesteira, M., B.D. Rogers, R.A. Dalrymple, and A.J.C. Crespo. 2010. “State-of-the-art of classical SPH for free-surface flows.”, Journal of Hydraulic Research 48 (sup1):6-27. doi: 10.1080/00221686.2010.9641242. [Link] 

  • Springel V. 2010. “Smoothed Particle Hydrodynamics in Astrophysics.”, Annual Review of Astronomy and Astrophysics, 48:391-430. doi: 10.1146/annurev-astro-081309-130914. [Link] 

  • Liu, M. B., and G. R. Liu. 2010. “Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments.”, Archives of Computational Methods in Engineering 17(1):25-76. doi: 10.1007/s11831-010-9040-7. [Link]

  • Koshizuka, S. 2011. “Current Achievements and Future Perspectives on Particle Simulation Technologies for Fluid Dynamics and Heat Transfer.”, Journal of Nuclear Science and Technology 48(2):155-68. doi: 10.1080/18811248.2011.9711690. [Link]

  • Monaghan, J.J. 2012. “Smoothed Particle Hydrodynamics and Its Diverse Applications.”, Annual Review of Fluid Mechanics 44:323-46. doi: 10.1146/annurev-fluid-120710-101220. [Link] 

  • Price, D. 2012. “Smoothed particle hydrodynamics and magnetohydrodynamics.”, Journal of Computational Physics 231(3):759-794. doi: 10.1016/j.jcp.2010.12.011. [Link] 

  • Ma, Q. W., Yan Zhou, and S. Yan. 2016. “A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves.”, Journal of Ocean Engineering and Marine Energy 2(3):279-99. doi:10.1007/s40722-016-0063-5. [Link] 

  • Violeau, D., and B.D. Rogers. 2016. “Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future.”, Journal of Hydraulic Research 54(1):1-26. doi: 10.1080/00221686.2015.1119209. [Link]

  • Gotoh, H., and A. Khayyer. 2016. “Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering.”, Journal of Ocean Engineering and Marine Energy 2(3):251-78. doi: 10.1007/s40722-016-0049-3. [Link]

  • Shadloo, M. S., G. Oger, and D. Le Touzé. 2016. “Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: Motivations, current state, and challenges.”, Computers & Fluids 136:11-34. doi: 10.1016/j.compfluid.2016.05.029. [Link]

  • Wang Z.B., Chen R., Wang H., Liao Q., Zhu X., Li S.Z. 2016. “An overview of smoothed particle hydrodynamics for simulating multiphase flow”, Applied Mathematical Modelling Volume 40(23-24):9625-9655. doi: 10.1016/j.apm.2016.06.030. [Link]

  • Gotoh, H., and A. Khayyer. 2018. “On the state-of-the-art of particle methods for coastal and ocean engineering.”, Coastal Engineering Journal 60(1):79-103. doi:10.1080/21664250.2018.1436243. [Link]

  • Ye, T., D. Y. Pan, C. Huang, and M. B. Liu. 2019. “Smoothed particle hydrodynamics (SPH) for complex fluid flows: Recent developments in methodology and applications.”, Physics of Fluids 31(1):011301. doi: 10.1063/1.5068697. [Link]

  • Liu, M. B., and Z. L. Zhang. 2019. “Smoothed particle hydrodynamics (SPH) for modeling fluid-structure interactions.”, Science China-Physics Mechanics & Astronomy 62 (8):984701. doi: 10.1007/s11433-018-9357-0. [Link]

  • Lind, S.J., B.D. Rogers, and P.K. Stansby. 2020. “Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling.”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476 (2241):20190801. doi: doi:10.1098/rspa.2019.0801. [Link]

  • Gotoh, H., A. Khayyer, and Y. Shimizu. 2021. “Entirely Lagrangian meshfree computational methods for hydroelastic fluid-structure interactions in ocean engineering-Reliability, adaptivity and generality.”, Applied Ocean Research 115:102822. doi:
    10.1016/j.apor.2021.102822. [Link]

  • Vacondio, R., C. Altomare, M. De Leffe, X. Y. Hu, D. Le Touze, S. Lind, J. C. Marongiu, S. Marrone, B. D. Rogers, and A. Souto-Iglesias. 2021. “Grand challenges for Smoothed Particle Hydrodynamics numerical schemes.”, Computational Particle Mechanics
    8(3):575-88. doi: 10.1007/s40571-020-00354-1. [Link]

  • Luo, M., A. Khayyer, and P. Z. Lin. 2021. “Particle methods in ocean and coastal engineering.”, Applied Ocean Research 114:102734. doi: 10.1016/j.apor.2021.102734. [Link]

  • Bui, H. H., and G. D. Nguyen. 2021. “Smoothed particle hydrodynamics (SPH) and its applications in geomechanics: From solid fracture to granular behaviour and multiphase flows in porous media.”, Computers and Geotechnics 138:104315. doi:
    10.1016/j.compgeo.2021.104315. [Link]

  • Guan, X., P. N. Sun, H. G. Lyu, N. N. Liu, Y. X. Peng, X. Huang, and Y. Xu. 2022. “Research Progress of SPH Simulations for Complex Multiphase Flows in Ocean Engineering.” Energies 15(23):9000. doi: 10.3390/en15239000. [Link]

  • Lyu, H. G., P. N. Sun, X. Huang, S. Zhong, Y. X. Peng, T. Jiang, and C. Ji. 2022. “A Review of SPH Techniques for Hydrodynamic Simulations of Ocean Energy Devices.”, Energies 15 (2):502. doi: 10.3390/en15020502. [Link]

  • Khayyer, A., Gotoh, H. and Shimizu, Y. 2022 “On systematic development of FSI solvers in the context of particle methods.”, Journal of Hydrodynamics 34:395-407. doi: 10.1007/s42241-022-0042-3 [Link]

  • Zhang, C., Y. J. Zhu, D. Wu, N. A. Adams, and X. Y. Hu. 2022. “Smoothed particle hydrodynamics: Methodology development and recent achievement.”, Journal of Hydrodynamics 34 (5):767-805. doi: 10.1007/s42241-022-0052-1. [Link]

  • Xu, F., J. H. Wang, Y. Yang, L. Wang, Z. Dai, and R. Han. 2023. “On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics.”, Acta Mechanica Sinica 39(2):722185. doi: 10.1007/s10409-022-22185-x. [Link]

  • Eirís, A., Ramírez, L., Couceiro, I. et al. MLS-SPH-ALE. 2023. “A Review of Meshless-FV Methods and a Unifying Formulation for Particle Discretizations.”, Arch. Computat. Methods Eng. 30:4959-4981. doi: 10.1007/s11831-023-09965-2. [Link]

  • Bagheri, M., Mohammadi, M. and Riazi, M., 2024. “A review of smoothed particle hydrodynamics.”, Computational Particle Mechanics 11:1163-1219. doi: 10.1007/s40571-023-00679-7. [Link]

  • Le Touzé, D., and Colagrossi, A. 2025. "Smoothed particle hydrodynamics for free-surface and multiphase flows: a review," Reports on Progress in  Physics, 88, 037001. [Link]

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Published Special Issues​​​​

Editors: Corrado Altomare, José M. Domínguez, Georgios Fourtakas.

Editors: Abbas Khayyer, Benedict D. Rogers, A-Man Zhang​.

Editor: Moubin Liu.

Editor: Moubin Liu.​

Editors: Hitoshi Gotoh, Abbas Khayyer.

Editors: David Le Touzé, Alex Crespo, Steven Lind.

Editors: Bing Ren, Songdong Shao, Ping Dong.​

Editors: Peter K. Stansby, Qingwei Ma.

Editors: Moncho Gomez-Gesteira, Benedict D. Rogers, Damien Violeau, Jose Maria Grassa, Alex Crespo.​​​

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You can find open special issues on SPH under the "Events" tab.

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