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A review of smoothed particle hydrodynamics

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Abstract

Smoothed particle hydrodynamics (SPH) is an evolving computational fluid dynamics (CFD) method. With time, it illustrates a great extent of its capabilities to be considered a practical numerical tool for modeling fluid flow in porous media. It is a free mesh particle-based method benefiting from a Lagrangian nature. This feature makes it a suitable candidate for treating the fluid flow within complex geometries on a mesoscale. A sequential approach is used in the various modifications of SPH. Thereby, the preparation time of models in SPH will be less than those made by using grid-based models. This method offers attractive privileges for dealing with moving boundaries and acquiring the time history of the field variables. In this paper, the basic concepts behind SPH are first introduced. Subsequently, the various discretization approaches and considerations for SPH are reviewed. Its application in the presence of solid boundaries and multiphase contacts is then discussed. Following that, the implementation of inflow/outflow boundaries and miscibility conditions are explored. The considerations for thermal effects and its application in porous media are also presented. The techniques for simulating different fluid types and shortcomings within SPH are eventually described. It is shown that SPH has a significant potential for modeling the fluid behavior on mesoscale although it is computationally expensive. The approximation of second- and higher-order derivatives by using SPH could become erroneous. The stability and consistency of SPH vary from one case to another. It implies that each problem requires a particular modification of SPH. There is still no unified version of SPH.

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Acknowledgements

The authors gratefully acknowledge the financial support provided by the Iranian Center of International Science and Technology Cooperation under Grant Agreement No 11/53307 dated 06 January 2021 hosted by Shiraz University. The authors also express their gratitude to the staff at the School of Chemical and Petroleum Engineering, Shiraz University, for sharing their experience. The first author also appreciates the academics at the Faculty of Petroleum and Petrochemical Engineering, Hakim Sabzevari University, for being supportive.

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  1. Faculty of Petroleum and Petrochemical Engineering, Hakim Sabzevari University, Sabzevar, Iran

    Mohammadreza Bagheri

  2. Enhanced Oil Recovery (EOR) Research Center, IOR/EOR Research Institute, Shiraz University, Shiraz, Iran

    Mohammadreza Bagheri & Masoud Riazi

  3. School of Chemical and Petroleum Engineering, Shiraz University, Shiraz, Iran

    Masoud Mohammadi & Masoud Riazi

  4. School of Mining and Geosciences, Nazarbayev University, Kabanbay Batyr 53, Astana, 010000, Kazakhstan

    Masoud Riazi

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Bagheri, M., Mohammadi, M. & Riazi, M. A review of smoothed particle hydrodynamics. Comp. Part. Mech. (2023). https://doi.org/10.1007/s40571-023-00679-7

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