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@Article{Adami2012,
author = {Adami, S. and Hu, X.Y. and Adams, N.A.},
journal = {Journal of Computational Physics},
title = {A generalized wall boundary condition for smoothed particle hydrodynamics},
year = {2012},
issn = {0021-9991},
month = aug,
number = {21},
pages = {7057--7075},
volume = {231},
doi = {10.1016/j.jcp.2012.05.005},
publisher = {Elsevier BV},
}
@Article{Adami2013,
author = {S. Adami and X.Y. Hu and N.A. Adams},
journal = {Journal of Computational Physics},
title = {A transport-velocity formulation for smoothed particle hydrodynamics},
year = {2013},
month = {may},
pages = {292--307},
volume = {241},
doi = {10.1016/j.jcp.2013.01.043},
groups = {enhancement},
publisher = {Elsevier {BV}},
}
@Article{Akinci2012,
author = {Akinci, Nadir and Ihmsen, Markus and Akinci, Gizem and Solenthaler, Barbara and Teschner, Matthias},
journal = {ACM Transactions on Graphics},
title = {Versatile rigid-fluid coupling for incompressible SPH},
year = {2012},
issn = {1557-7368},
month = jul,
number = {4},
pages = {1--8},
volume = {31},
doi = {10.1145/2185520.2185558},
publisher = {Association for Computing Machinery (ACM)},
}
@Article{Akinci2013,
author = {Akinci, Nadir and Akinci, Gizem and Teschner, Matthias},
journal = {ACM Transactions on Graphics},
title = {Versatile surface tension and adhesion for SPH fluids},
year = {2013},
issn = {1557-7368},
month = nov,
number = {6},
pages = {1--8},
volume = {32},
doi = {10.1145/2508363.2508395},
publisher = {Association for Computing Machinery (ACM)},
}
@Article{Antuono2010,
author = {Antuono, M. and Colagrossi, A. and Marrone, S. and Molteni, D.},
journal = {Computer Physics Communications},
title = {Free-surface flows solved by means of SPH schemes with numerical diffusive terms},
year = {2010},
issn = {0010-4655},
month = mar,
number = {3},
pages = {532--549},
volume = {181},
doi = {10.1016/j.cpc.2009.11.002},
publisher = {Elsevier BV},
}
@Article{Antuono2012,
author = {Antuono, M. and Colagrossi, A. and Marrone, S.},
journal = {Computer Physics Communications},
title = {Numerical diffusive terms in weakly-compressible SPH schemes},
year = {2012},
issn = {0010-4655},
month = dec,
number = {12},
pages = {2570--2580},
volume = {183},
doi = {10.1016/j.cpc.2012.07.006},
publisher = {Elsevier BV},
}
@Article{Antuono2015,
author = {Antuono, M. and Marrone, S. and Colagrossi, A. and Bouscasse, B.},
journal = {Computer Methods in Applied Mechanics and Engineering},
title = {Energy balance in the Delta-SPH scheme},
year = {2015},
issn = {0045-7825},
month = jun,
pages = {209--226},
volume = {289},
doi = {10.1016/j.cma.2015.02.004},
publisher = {Elsevier BV},
}
@article{Balsara1995,
title = {von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms},
journal = {Journal of Computational Physics},
volume = {121},
number = {2},
pages = {357-372},
year = {1995},
issn = {0021-9991},
doi = {https://doi.org/10.1016/S0021-9991(95)90221-X},
url = {https://www.sciencedirect.com/science/article/pii/S002199919590221X},
author = {Dinshaw S. Balsara},
}
@Article{Band2018,
author = {Band, Stefan and Gissler, Christoph and Peer, Andreas and Teschner, Matthias},
journal = {Computers \& Graphics},
title = {MLS pressure boundaries for divergence-free and viscous SPH fluids},
year = {2018},
issn = {0097-8493},
month = nov,
pages = {37--46},
volume = {76},
doi = {10.1016/j.cag.2018.08.001},
publisher = {Elsevier BV},
}
@Article{Basa2008,
author = {Basa, Mihai and Quinlan, Nathan J. and Lastiwka, Martin},
journal = {International Journal for Numerical Methods in Fluids},
title = {Robustness and accuracy of SPH formulations for viscous flow},
year = {2008},
issn = {1097-0363},
month = oct,
number = {10},
pages = {1127--1148},
volume = {60},
doi = {10.1002/fld.1927},
publisher = {Wiley},
}
@Article{Belytschko2000,
author = {Belytschko, Ted and Guo, Yong and Liu, Wing Kam and Xiao, Shao Ping},
journal = {International Journal for Numerical Methods in Engineering},
title = {A unified stability analysis of meshless particle methods},
year = {2000},
number = {9},
pages = {1359-1400},
volume = {48},
abstract = {Abstract A unified stability analysis of meshless methods with Eulerian and Lagrangian kernels is presented. Three types of instabilities were identified in one dimension: an instability due to rank deficiency, a tensile instability and a material instability which is also found in continua. The stability of particle methods with Eulerian and Lagrangian kernels is markedly different: Lagrangian kernels do not exhibit the tensile instability. In both kernels, the instability due to rank deficiency can be suppressed by stress points. In two dimensions the stabilizing effect of stress points is dependent on their locations. It was found that the best approach to stable particle discretizations is to use Lagrangian kernels with stress points. The stability of the least-squares stabilization was also studied. Copyright © 2000 John Wiley \& Sons, Ltd.},
doi = {10.1002/1097-0207},
keywords = {particle methods, stability, kernel},
}
@InCollection{Bicanic2004,
author = {Bi{\'c}ani{\'c}, Nenad},
booktitle = {Discrete Element Methods},
publisher = {Wiley},
title = {Discrete Element Methods},
year = {2004},
isbn = {9780470091357},
month = aug,
doi = {10.1002/0470091355.ecm006.pub2},
journal = {Encyclopedia of Computational Mechanics},
}
@Article{Bonet1999,
author = {Bonet, J. and Lok, T.-S.L.},
journal = {Computer Methods in Applied Mechanics and Engineering},
title = {Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations},
year = {1999},
issn = {0045-7825},
month = nov,
number = {1–2},
pages = {97--115},
volume = {180},
doi = {10.1016/s0045-7825(99)00051-1},
publisher = {Elsevier BV},
}
@misc{CarpenterKennedy,
author = {Carpenter, Mark H. and Kennedy, Christopher A.},
title = {Fourth Order 2N-storage Runge-Kutta Schemes},
year = {1994},
url = {https://ntrs.nasa.gov/citations/19940028444},
}
@Article{Clausen2013,
author = {Clausen, Jonathan R.},
journal = {Physical Review E},
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year = {2013},
issn = {1550-2376},
month = jan,
number = {1},
pages = {013309},
volume = {87},
doi = {10.1103/physreve.87.013309},
publisher = {American Physical Society (APS)},
}
@Article{Cole1948,
author = {Cole, Robert H. and Weller, Royal},
journal = {Physics Today},
title = {Underwater Explosions},
year = {1948},
number = {6},
pages = {35--35},
volume = {1},
doi = {10.1063/1.3066176},
publisher = {AIP Publishing},
}
@Article{Crespo2007,
author = {Crespo, A. J. C. and Gomez-Gesteira, M. and Dalrymple, R. A.},
journal = {Computers, Materials and Continua},
title = {Boundary Conditions Generated by Dynamic Particles in SPH Methods},
year = {2007},
number = {3},
pages = {173--184},
volume = {5},
doi = {10.3970/cmc.2007.005.173},
}
@Article{Cundall1979,
author = {Cundall, P. A. and Strack, O. D. L.},
journal = {Géotechnique},
title = {A discrete numerical model for granular assemblies},
year = {1979},
issn = {1751-7656},
month = mar,
number = {1},
pages = {47--65},
volume = {29},
doi = {10.1680/geot.1979.29.1.47},
publisher = {Thomas Telford Ltd.},
}
@Article{Dehnen2012,
author = {Dehnen, Walter and Aly, Hossam},
journal = {Monthly Notices of the Royal Astronomical Society},
title = {Improving convergence in smoothed particle hydrodynamics simulations without pairing instability: SPH without pairing instability},
year = {2012},
issn = {0035-8711},
month = aug,
number = {2},
pages = {1068--1082},
volume = {425},
doi = {10.1111/j.1365-2966.2012.21439.x},
publisher = {Oxford University Press (OUP)},
}
@Article{DiRenzo2004,
author = {Di Renzo, Alberto and Di Maio, Francesco Paolo},
journal = {Chemical Engineering Science},
title = {Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes},
year = {2004},
issn = {0009-2509},
month = feb,
number = {3},
pages = {525--541},
volume = {59},
doi = {10.1016/j.ces.2003.09.037},
publisher = {Elsevier BV},
}
@article{Dominguez2022,
title={DualSPHysics: from fluid dynamics to multiphysics problems},
author={Domínguez, Jose M and Fourtakas, Georgios and others},
journal={Computational Particle Mechanics},
volume={9},
pages={867--895},
year={2022},
publisher={Springer},
doi={10.1007/s40571-021-00404-2}
}
@Article{Ferrari2009,
author = {Ferrari, Angela and Dumbser, Michael and Toro, Eleuterio F. and Armanini, Aronne},
journal = {Computers \& Fluids},
title = {A new 3D parallel SPH scheme for free surface flows},
year = {2009},
issn = {0045-7930},
month = jun,
number = {6},
pages = {1203--1217},
volume = {38},
doi = {10.1016/j.compfluid.2008.11.012},
publisher = {Elsevier BV},
}
@Article{Fourtakas2019,
author = {Fourtakas, Georgios and Dominguez, Jose M. and Vacondio, Renato and Rogers, Benedict D.},
journal = {Computers \& Fluids},
title = {Local uniform stencil (LUST) boundary condition for arbitrary 3-D boundaries in parallel smoothed particle hydrodynamics (SPH) models},
year = {2019},
issn = {0045-7930},
month = aug,
pages = {346--361},
volume = {190},
doi = {10.1016/j.compfluid.2019.06.009},
publisher = {Elsevier BV},
}
@Article{Ganzenmueller2015,
author = {Ganzenmüller, Georg C.},
journal = {Computer Methods in Applied Mechanics and Engineering},
title = {An hourglass control algorithm for Lagrangian Smooth Particle Hydrodynamics},
year = {2015},
issn = {0045-7825},
month = apr,
pages = {87--106},
volume = {286},
doi = {10.1016/j.cma.2014.12.005},
publisher = {Elsevier BV},
}
@Article{Giles1990,
author = {Giles, Michael B.},
journal = {AIAA Journal},
title = {Nonreflecting boundary conditions for Euler equation calculations},
year = {1990},
issn = {1533-385X},
month = dec,
number = {12},
pages = {2050--2058},
volume = {28},
doi = {10.2514/3.10521},
publisher = {American Institute of Aeronautics and Astronautics (AIAA)},
}
@Article{Hormann2001,
author = {Hormann, Kai and Agathos, Alexander},
journal = {Computational Geometry},
title = {The point in polygon problem for arbitrary polygons},
year = {2001},
issn = {0925-7721},
month = nov,
number = {3},
pages = {131--144},
volume = {20},
doi = {10.1016/s0925-7721(01)00012-8},
publisher = {Elsevier BV},
}
@Article{Jacobson2013,
author = {Jacobson, Alec and Kavan, Ladislav and Sorkine-Hornung, Olga},
journal = {ACM Transactions on Graphics},
title = {Robust inside-outside segmentation using generalized winding numbers},
year = {2013},
issn = {1557-7368},
month = jul,
number = {4},
pages = {1--12},
volume = {32},
doi = {10.1145/2461912.2461916},
publisher = {Association for Computing Machinery (ACM)},
}
@Article{Lastiwka2008,
author = {Lastiwka, Martin and Basa, Mihai and Quinlan, Nathan J.},
journal = {International Journal for Numerical Methods in Fluids},
title = {Permeable and non‐reflecting boundary conditions in SPH},
year = {2008},
issn = {1097-0363},
month = dec,
number = {7},
pages = {709--724},
volume = {61},
doi = {10.1002/fld.1971},
publisher = {Wiley},
}
@Article{Li1996,
author = {Li, Shaofan and Liu, Wing Kam},
journal = {Computer Methods in Applied Mechanics and Engineering},
title = {Moving least-square reproducing kernel method Part II: Fourier analysis},
year = {1996},
issn = {0045-7825},
month = dec,
number = {1–4},
pages = {159--193},
volume = {139},
doi = {10.1016/s0045-7825(96)01082-1},
publisher = {Elsevier BV},
}
@Article{Molteni2009,
author = {Molteni, Diego and Colagrossi, Andrea},
journal = {Computer Physics Communications},
title = {A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH},
year = {2009},
issn = {0010-4655},
month = jun,
number = {6},
pages = {861--872},
volume = {180},
doi = {10.1016/j.cpc.2008.12.004},
publisher = {Elsevier BV},
}
@Article{Monaghan1985,
author = {Monaghan, J.J.},
journal = {Computer Physics Reports},
title = {Particle methods for hydrodynamics},
year = {1985},
issn = {0167-7977},
month = oct,
number = {2},
pages = {71--124},
volume = {3},
doi = {10.1016/0167-7977(85)90010-3},
publisher = {Elsevier BV},
}
@Article{Monaghan1989,
author = {J.J. Monaghan},
journal = {Journal of Computational Physics},
title = {On the problem of penetration in particle methods},
year = {1989},
issn = {0021-9991},
number = {1},
pages = {1-15},
volume = {82},
abstract = {A method is described which prevents penetration when particle methods are used to simulate streams of fluid impinging on each other. The method does not produce dissipation but it does produce extra dispersion.},
doi = {10.1016/0021-9991(89)90032-6},
url = {https://www.sciencedirect.com/science/article/pii/0021999189900326},
}
@Article{Monaghan1992,
author = {Monaghan, J. J.},
journal = {Annual Review of Astronomy and Astrophysics},
title = {Smoothed Particle Hydrodynamics},
year = {1992},
issn = {1545-4282},
month = sep,
number = {1},
pages = {543--574},
volume = {30},
doi = {10.1146/annurev.aa.30.090192.002551},
publisher = {Annual Reviews},
}
@Article{Monaghan1994,
author = {Monaghan, J.J.},
journal = {Journal of Computational Physics},
title = {Simulating Free Surface Flows with SPH},
year = {1994},
issn = {0021-9991},
month = feb,
number = {2},
pages = {399--406},
volume = {110},
doi = {10.1006/jcph.1994.1034},
publisher = {Elsevier BV},
}
@Article{Monaghan2005,
author = {Monaghan, J J},
journal = {Reports on Progress in Physics},
title = {Smoothed particle hydrodynamics},
year = {2005},
issn = {1361-6633},
month = jul,
number = {8},
pages = {1703--1759},
volume = {68},
doi = {10.1088/0034-4885/68/8/r01},
publisher = {IOP Publishing},
}
@Article{Monaghan2009,
author = {Monaghan, J.J. and Kajtar, J.B.},
journal = {Computer Physics Communications},
title = {SPH particle boundary forces for arbitrary boundaries},
year = {2009},
issn = {0010-4655},
month = oct,
number = {10},
pages = {1811--1820},
volume = {180},
doi = {10.1016/j.cpc.2009.05.008},
publisher = {Elsevier BV},
}
@Article{Morris1997,
author = {Morris, Joseph P. and Fox, Patrick J. and Zhu, Yi},
journal = {Journal of Computational Physics},
title = {Modeling Low Reynolds Number Incompressible Flows Using SPH},
year = {1997},
issn = {0021-9991},
month = sep,
number = {1},
pages = {214--226},
volume = {136},
doi = {10.1006/jcph.1997.5776},
publisher = {Elsevier BV},
}
@article{Morris2000,
author = {Morris, Joseph P.},
title = {Simulating surface tension with smoothed particle hydrodynamics},
journal = {International Journal for Numerical Methods in Fluids},
volume = {33},
number = {3},
pages = {333-353},
keywords = {interfacial flow, meshless methods, surface tension},
doi = {https://doi.org/10.1002/1097-0363(20000615)33:3<333::AID-FLD11>3.0.CO;2-7},
year = {2000}
}
@InProceedings{Mueller2003,
author = {M{\"u}ller, Matthias and Charypar, David and Gross, Markus},
booktitle = {Proceedings of the 2003 ACM SIGGRAPH/Eurographics Symposium on Computer Animation},
title = {Particle-Based Fluid Simulation for Interactive Applications},
year = {2003},
month = {07},
pages = {154-159},
publisher = {Eurographics Association},
doi = {10.2312/SCA/SCA03/154-159},
isbn = {1581136595},
}
@Article{Negi2020,
author = {Negi, Pawan and Ramachandran, Prabhu and Haftu, Asmelash},
journal = {Computer Methods in Applied Mechanics and Engineering},
title = {An improved non-reflecting outlet boundary condition for weakly-compressible SPH},
year = {2020},
issn = {0045-7825},
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