SPHysics – development of a free-surface fluid solver – Part 1: Theory and formulations. A free-surface fluid solver called SPHysics is presented. Part 1 provides a description of the governing equations based on Smoothed Particle Hydrodynamics (SPH) theory. The paper describes the formulations implemented in the code including the classical SPH formulation along with enhancements like density filtering, arbitrary Lagrange–Euler (ALE) schemes and the incorporation of Riemann solvers for particle–particle interactions. Second-order time stepping schemes are presented along with the boundary conditions employed which can handle floating objects to study fluid–structure interaction. In addition, the model implementation is briefly described. This information will be used in Part 2, where the efficiency of the code is discussed, along with several study cases.

References in zbMATH (referenced in 40 articles )

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  1. Muta, Abhinav; Ramachandran, Prabhu: Efficient and accurate adaptive resolution for weakly-compressible SPH (2022)
  2. Amaro, Rubens A. Junior; Cheng, Liang-Yee; Buruchenko, Sergei K.: A comparison between weakly-compressible smoothed particle hydrodynamics (WCSPH) and moving particle semi-implicit (MPS) methods for 3D dam-break flows (2021)
  3. Cui, Jie; Chen, Xin; Sun, Pengnan: Numerical investigation on the hydrodynamic performance of a new designed breakwater using smoothed particle hydrodynamic method (2021)
  4. Dao, My Ha; Lou, Jing: Simulations of laser assisted additive manufacturing by smoothed particle hydrodynamics (2021)
  5. Ghoneim, Adam Yehudi: A smoothed particle hydrodynamics-phase field method with radial basis functions and moving least squares for meshfree simulation of dendritic solidification (2020)
  6. Härdi, Simon; Schreiner, Michael; Janoske, Uwe: Simulating thin film flow using the shallow water equations and smoothed particle hydrodynamics (2020)
  7. Sandim, Marcos; Paiva, Afonso; de Figueiredo, Luiz Henrique: Simple and reliable boundary detection for meshfree particle methods using interval analysis (2020)
  8. Farzin, Saeed; Fatehi, Rouhollah; Hassanzadeh, Yousef: Position explicit and iterative implicit consistent incompressible SPH methods for free surface flow (2019)
  9. Green, Mashy D.; Vacondio, Renato; Peiró, Joaquim: A smoothed particle hydrodynamics numerical scheme with a consistent diffusion term for the continuity equation (2019)
  10. Gudžulić, Vladislav; Dang, Thai Son; Meschke, Günther: Computational modeling of fiber flow during casting of fresh concrete (2019)
  11. Huang, C.; Long, T.; Li, S. M.; Liu, M. B.: A kernel gradient-free SPH method with iterative particle shifting technology for modeling low-Reynolds flows around airfoils (2019)
  12. Shi, Yang; Wei, Jiahua; Li, Shaowu; Song, Peng; Zhang, Bangwen: A meshless WCSPH boundary treatment for open-channel flow over small-scale rough bed (2019)
  13. Xu, Tibing; Jin, Yee-Chung: Improvement of a projection-based particle method in free-surface flows by improved Laplacian model and stabilization techniques (2019)
  14. Adrian R.G. Harwood, Joseph O’Connor, Jonathan Sanchez Muñoz, Marta Camps Santasmasas, Alistair J. Revell: LUMA: A many-core, Fluid–Structure Interaction solver based on the Lattice-Boltzmann Method (2018) not zbMATH
  15. Dauch, T. F.; Rapp, T.; Chaussonnet, G.; Braun, S.; Keller, M. C.; Kaden, J.; Koch, R.; Dachsbacher, C.; Bauer, H.-J.: Highly efficient computation of finite-time Lyapunov exponents (FTLE) on GPUs based on three-dimensional SPH datasets (2018)
  16. Ghazanfarian, Jafar; Moradi, Mahshid: Hybrid SPH-MD two-phase modelling of 3D free-surface flows introducing double K-H instability (2018)
  17. Green, Mashy D.; Peiró, Joaquim: Long duration SPH simulations of sloshing in tanks with a low fill ratio and high stretching (2018)
  18. Schnabel, Dirk; Özkaya, Ekrem; Biermann, Dirk; Eberhard, Peter: Modeling the motion of the cooling lubricant in drilling processes using the finite volume and the smoothed particle hydrodynamics methods (2018)
  19. Tafuni, A.; Domínguez, J. M.; Vacondio, R.; Crespo, A. J. C.: A versatile algorithm for the treatment of open boundary conditions in smoothed particle hydrodynamics GPU models (2018)
  20. Tan, Hai; Xu, Qing; Chen, Shenghong: Subaerial rigid landslide-tsunamis: insights from a block DEM-SPH model (2018)

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Further publications can be found at: https://wiki.manchester.ac.uk/sphysics/index.php/SPHYSICS_Publications