TREESPH - A unification of SPH with the hierarchical tree method. A new, general-purpose code for evolving three-dimensional, self-gravitating fluids in astrophyics, both with and without collisionless matter, is described. In this TREESPH code, hydrodynamic properties are determined using a Monte Carlo-like approach known as smoothed particle hydrodynamics (SPH). Unlike most previous implementations of SPH, gravitational forces are computed with a hierarchical tree algorithm. Multiple expansions are used to approximate the potential of distant groups of particles, reducing the cost per step. More significantly, the improvement in efficiency is achieved without the introduction of a grid. A unification of SPH with the hierarchical tree method is a natural way of allowing for larger N within a Lagrangian framework. The data structures used to manipulate the grouping of particles can be applied directly to certain aspects of the SPH calculation

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  1. Muta, Abhinav; Ramachandran, Prabhu: Efficient and accurate adaptive resolution for weakly-compressible SPH (2022)
  2. Cleary, Paul W.; Harrison, Simon M.; Sinnott, Matt D.; Pereira, Gerald G.; Prakash, Mahesh; Cohen, Raymond C. Z.; Rudman, Murray; Stokes, Nick: Application of SPH to single and multiphase geophysical, biophysical and industrial fluid flows (2021)
  3. Ramachandran, Prabhu; Bhosale, Aditya; Puri, Kunal; Negi, Pawan; Muta, Abhinav; Dinesh, A.; Menon, Dileep; Govind, Rahul; Sanka, Suraj; Sebastian, Amal S.; Sen, Ananyo; Kaushik, Rohan; Kumar, Anshuman; Kurapati, Vikas; Patil, Mrinalgouda; Tavker, Deep; Pandey, Pankaj; Kaushik, Chandrashekhar; Dutt, Arkopal; Agarwal, Arpit: PySPH: a Python-based framework for smoothed particle hydrodynamics (2021)
  4. Yang, Xiufeng; Kong, Song-Charng; Liu, Moubin; Liu, Qingquan: Smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) for free surface flows (2021)
  5. Fernández-Gutiérrez, David; Zohdi, Tarek I.: Delta Voronoi smoothed particle hydrodynamics, (\delta)-VSPH (2020)
  6. Hammani, I.; Marrone, S.; Colagrossi, A.; Oger, G.; Le Touzé, D.: Detailed study on the extension of the (\delta)-SPH model to multi-phase flow (2020)
  7. Hu, Man; Wang, Guangyu; Liu, Guirong; Peng, Qing: The application of Godunov SPH in the simulation of energetic materials (2020)
  8. Tsuji, P.; Puso, M.; Spangler, C. W.; Owen, J. M.; Goto, D.; Orzechowski, T.: Embedded smoothed particle hydrodynamics (2020)
  9. Colagrossi, A.; Nikolov, G.; Durante, D.; Marrone, S.; Souto-Iglesias, A.: Viscous flow past a cylinder close to a free surface: benchmarks with steady, periodic and metastable responses, solved by meshfree and mesh-based schemes (2019)
  10. Wang, Zekun; Teng, Yujun; Liu, Moubin: A semi-resolved CFD-DEM approach for particulate flows with kernel based approximation and Hilbert curve based searching strategy (2019)
  11. Alvarado-Rodríguez, Carlos E.; Klapp, Jaime; Sigalotti, Leonardo Di G.; Domínguez, José M.; Cruz Sánchez, Eduardo de la: Nonreflecting outlet boundary conditions for incompressible flows using SPH (2017)
  12. Cercos-Pita, J. L.; Antuono, M.; Colagrossi, A.; Souto-Iglesias, A.: SPH energy conservation for fluid-solid interactions (2017)
  13. Frontiere, Nicholas; Raskin, Cody D.; Owen, J. Michael: CRKSPH - A conservative reproducing kernel smoothed particle hydrodynamics scheme (2017)
  14. Jambunathan, Revathi; Levin, Deborah A.: Advanced parallelization strategies using hybrid MPI-CUDA octree DSMC method for modeling flow through porous media (2017)
  15. Olejnik, Michał; Szewc, Kamil; Pozorski, Jacek: SPH with dynamical smoothing length adjustment based on the local flow kinematics (2017)
  16. Taddei, Lorenzo; Lebaal, N.; Roth, S.: Axis-symmetrical Riemann problem solved with standard SPH method. Development of a polar formulation with artificial viscosity (2017)
  17. He, Lisha; Seaid, Mohammed: A Runge-Kutta-Chebyshev SPH algorithm for elastodynamics (2016)
  18. Shadloo, M. S.; Oger, G.; Le Touzé, D.: Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: motivations, current state, and challenges (2016)
  19. Vacondio, R.; Rogers, B. D.; Stansby, P. K.; Mignosa, P.: Variable resolution for SPH in three dimensions: towards optimal splitting and coalescing for dynamic adaptivity (2016)
  20. Wang, Dong; Zhou, Yisong; Shao, Sihong: Efficient implementation of smoothed particle hydrodynamics (SPH) with plane sweep algorithm (2016)

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