@article{Alm08,
  author = {Almedeij, J. },
  title = {Drag coefficient of flow around a sphere: matching asymptotically the wide trend},
  journal = {Powder Technology},
  year = {2008},
  volume = {186},
  pages = {218-223}
}

@article{almgren96,
author = {Almgren, Ann S. and Bell, John B. and Szymczak, William G.},
title = {A Numerical Method for the Incompressible Navier--Stokes Equations Based on an Approximate Projection},
year = {1996},
issue_date = {March 1996},
publisher = {Society for Industrial and Applied Mathematics},
address = {USA},
volume = {17},
number = {2},
issn = {1064-8275},
url = {https://doi.org/10.1137/S1064827593244213},
doi = {10.1137/S1064827593244213},
journal = {SIAM Journal on Scientific Computing},
month = mar,
pages = {358–369},
numpages = {12},
}

@article{And67,
  author = {Anderson, T. B. and Jackson, R. },
  title = {A Fluid Mechanical Description of Fluidized Beds},
  journal = {Industrial \& Engineering Chemistry Fundamentals},
  year = {1967},
  volume = {6},
  pages = {527-534}
}

@article{And96,
author = {Andrews, M. and O'Rourke, P. },
title = {The multiphase particle-in-cell (MP-PIC) method for dense particulate flows},
journal = {International Journal of Multiphase Flow},
year = {1996},
volume = {22},
pages = {379-402}
}

@article{Ara79,
  author = {Arastoopour, H. and Gidaspow, D. },
  title = {Vertical Pneumatic Conveying Using Four Hydrodynamic Models},
  journal = {Industrial \& Engineering Chemistry Fundamentals},
  year = {1979},
  volume = {18},
  pages = {123-130}
}

@article{Bee07,
  author = {Beetstra, R. and van der Hoef, M. A. and Kuipers, J. A.M.},
  title = { Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres},
  journal = {AIChE Journal},
  year = {2007},
  volume = {53},
  pages = {489–501}
}

@article{Bee071,
  author = {Beestra, R. and van der Hoef, M. A. and Kuipers, J. A.M.},
  title = {Erratum},
  journal = {AIChE Journal},
  year = {2007},
  volume = {2007},
  pages = {3020}
}

@article{berger21,
  title = {A state redistribution algorithm for finite volume schemes on cut cell meshes},
  author = {Marsha Berger and Andrew Giuliani},
  journal = {Journal of Computational Physics},
  volume = {428},
  pages = {109820},
  year = {2021},
  issn = {0021-9991},
  doi = {https://doi.org/10.1016/j.jcp.2020.109820},
  url = {https://www.sciencedirect.com/science/article/pii/S0021999120305945},
}

@article{brinkman52,
  author = {Brinkman, H.C.},
  title = {The viscosity of concentrated suspensions and solutions},
  journal = {The Journal of Chemical Physics},
  year = {1952},
  volume = {20},
  pages = {571}
}

@book{Burden10,
  title={Numerical Analysis},
  author={Burden, R.L. and Faires, J.D.},
  isbn={9780538733519},
  lccn={2010922639},
  year={2010},
  publisher={Cengage Learning}
}


@article{cap13,
  author = {Capecelatro, J. and Desjardins, O. },
  title = {An Euler–Lagrange strategy for simulating particle-laden flows},
  journal = {Journal of Computational Physics},
  year = {2013},
  volume = {238},
  pages = {1-31}
}

@article{cheng03,
  author = {Nian-Sheng Cheng and Adrian Wing-Keung Law},
  title = {Exponential formula for computing effective viscosity},
  journal = {Powder Technology},
  year = {2003},
  volume = {129},
  pages = {156--160}
}

@techreport{chern87,
  author      = {Chern, I.-L., and Colella, P. },
  title       = {A conservative front tracking method for hyperbolic conservation laws},
  institution = {Lawrence Livermore National Laboratory},
  year        = {1987},
  number      = {UCRL-97200},
  address     = {Livermore, CA},
  publisher   = {Lawrence Livermore National Laboratory},
}


@article{colella06,
  author = {Phillip Colella and Daniel T. Graves and Benjamin J. Keen and David Modiano},
  title = {A Cartesian grid embedded boundary method for hyperbolic conservation laws},
  journal = {Journal of Computational Physics},
  volume = {211},
  number = {1},
  pages = {347-366},
  year = {2006},
  issn = {0021-9991},
  doi = {https://doi.org/10.1016/j.jcp.2005.05.026},
}


@article{cundall79,
   author = {Cundall, Peter A and Strack, Otto DL},
   title = {A discrete numerical model for granular assemblies},
   journal = {Geotechnique},
   volume = {29},
   number = {1},
   pages = {47-65},
   year = {1979}
}

@article{deen07,
  author={Deen, NG and Annaland, M Van Sint and Van der Hoef, Martin Anton and Kuipers, JAM},
  title={Review of discrete particle modeling of fluidized beds},
  journal={Chemical Engineering Science},
  volume={62},
  number={1-2},
  pages={28--44},
  year={2007},
  publisher={Elsevier}
}

@Inbook{devroye86,
  author="Devroye, Luc",
  title="General Principles in Random Variate Generation",
  bookTitle="Non-Uniform Random Variate Generation",
  year="1986",
  publisher="Springer New York",
  address="New York, NY",
  pages="27--82",
  isbn="978-1-4613-8643-8",
  doi="10.1007/978-1-4613-8643-8_2"
}

@article{ding90,
   author = {Ding, Jianmin and Gidaspow, Dimitri},
   title = {A bubbling fluidization model using kinetic theory of granular flow},
   journal = {AIChE Journal},
   volume = {36},
   number = {4},
   pages = {523-538},
   doi = {https://doi.org/10.1002/aic.690360404},
   url = {https://aiche.onlinelibrary.wiley.com/doi/abs/10.1002/aic.690360404},
   year = {1990}
}

@article{Dua15,
  author = {Duan, Z. and He, B. and Duan, Y. },
  title = {Sphere Drag and Heat Transfer},
  journal = {Scientific Reports},
  year = {2015},
  volume = {5},
  pages = {12304}
}

@article{ducros98,
  title={Wall-adapting local eddy-viscosity models for simulations in complex geometries},
  author={Ducros, F and Nicoud, F and Poinsot, Thierry},
  journal={Numerical Methods for Fluid Dynamics VI},
  volume={6},
  pages={293--299},
  year={1998},
  publisher={Oxford University Computing Laboratory Oxford, UK}
}

@article{einstein11,
  title={Eine neue bestimmung der moleküldimensionen},
  author={Einstein, A},
  journal={Ann. Physik},
  volume={19},
  pages={289--306},
  year={1911},
}

@article{elhilo12,
author = {M. El-Hilo and R.W. Chantrell},
title = {Rationalisation of distribution functions for models of nanoparticle magnetism},
journal = {Journal of Magnetism and Magnetic Materials},
volume = {324},
number = {16},
pages = {2593-2595},
year = {2012},
issn = {0304-8853},
doi = {https://doi.org/10.1016/j.jmmm.2012.02.108},
url = {https://www.sciencedirect.com/science/article/pii/S0304885312002132},
}

@article{elhilo12a,
  author={El-Hilo, M},
  title={Nano-particle magnetism with a dispersion of particle sizes},
  journal={Journal of Applied Physics},
  volume={112},
  number={10},
  year={2012},
  publisher={AIP Publishing}
}

@article{flad03,
  author = {Alexander Fladerer and Reinhard Strey},
  title = {Growth of homogeneously nucleated water droplets: a quantitative comparison of experiment and theory},
  journal = {Atmospheric Research},
  volume = {65},
  number = {3},
  pages = {161 - 187},
  year = {2003},
  issn = "0169-8095",
  doi = "https://doi.org/10.1016/S0169-8095(02)00148-5",
  url = "http://www.sciencedirect.com/science/article/pii/S0169809502001485",
}



@article{garg12,
  title={Open-source {MFIX-DEM} software for gas-solids flows: {Part I-Verification studies}},
  author={Garg, Rahul and Galvin, Janine and Li, Tingwen and Pannala, Sreekanth},
  journal={Powder Technology},
  volume={220},
  pages={122--137},
  year={2012},
  publisher={Elsevier}
}

@article{gibilaro07,
  author = {Gibilaro L.G., Gallucci K., Felice R. Di. and Pagliai P.},
  title = {On the apparent viscosity of a fluidized bed},
  journal = {Chemical Engineering Science},
  year = {2007},
  volume = {62},
  pages = {294--300}
}

@article{Gid83,
  author = {Gidaspow, D. and Ettehadieh, B. },
  title = {Fluidization in Two-Dimensional Beds with a Jet; 2. Hydrodynamic Modeling},
  journal = {Industrial \& Engineering Chemistry Fundamentals},
  year = {1983},
  volume = {22},
  pages = {193-201}
}

@article{giuliani22,
author = {A. Giuliani and A.S. Almgren and J.B. Bell and M.J. Berger and M.T. {Henry de Frahan} and D. Rangarajan},
title = {A weighted state redistribution algorithm for embedded boundary grids},
journal = {Journal of Computational Physics},
volume = {464},
pages = {111305},
year = {2022},
issn = {0021-9991},
doi = {https://doi.org/10.1016/j.jcp.2022.111305},
}

@article{gunn78,
  author = {Gunn, D. J.},
  title = {Transfer of heat or mass to particles in fixed and fluidised beds},
  journal = {International Journal of Heat and Mass Transfer},
  year = {1978},
  volume = {21},
  number = {4},
  pages = {467-476}
}


@article{harris94,
  author={Harris, S. E. and Crighton, D. G.},
  title={Solitons, solitary waves, and voidage disturbances in gas-fluidized beds},
  journal={Journal of Fluid Mechanics},
  year={1994},
  volume={266},
  pages={243–276},
  publisher={Cambridge University Press},
  DOI={10.1017/S0022112094000996},
}


@article{Ish79,
  author = {Ishii, M. and Zuber, N. },
  title = {Drag coefficient and relative velocity in bubbly, droplet or particulate flows},
  journal = {AIChE Journal},
  year = {1979},
  volume = {25},
  pages = {843-855}
}

@article{krieger59,
  author = {Krieger, I.M. and Dougherty, T.J. },
  title = {A mechanism for non-newtonian flow in suspensions of rigid spheres},
  journal = {Trans. Soc. Rheol},
  year = {1959},
  volume = {3},
  pages = {137--152}
}

@article{Lat011,
  author = {Lathouwers, D. and Bellan, J. },
  title = {Modeling of dense gas-solid reative mixtures applied to biomass pyrolysis in a fluidized bed},
  journal = {International Journal of Mulitphase Flow},
  year = {2001},
  volume = {27},
  pages = {2155-2187}
}

@inproceedings{Lat00,
  author         = {Lathouwers, D. and Bellan, J. },
  title          = {Modeling of dense gas-solid reactive mixtures applied to biomass pyrolysis in a fuidized bed},
  year           = {2000},
  booktitle      = {Proceedings of the 2000 U.S. DOE Hydrogen Program Review},
  booksubtitle   = {NREL/CP-570-28990},
  eventdate      = {May 9-11},
  publisher      = {U.S. Department of Energy, Office of Energy Efficiency and Renewable Energy},
  location       = {San Ramon, California},
  pages          = {141-203}
}

@article{Lat001,
  author = {Lathouwers, D. and Bellan, J. },
  title = {Modeling and simulation of bubbling fluidized beds containing particle mixtures},
  journal = {Proceedings of the Combustion Institute},
  year = {2000},
  volume = {28},
  pages = {2297-2304}
}


@techreport{Lilly66,
  author={Lilly, D.K.},
  title={On the Application of the Eddy Viscosity Concept in the Inertial Sub-range of Turbulence},
  institution = {National Center for Atmospheric Research},,
  year        = {1966},
  address     = {Boulder, United States},
  publisher   = {NOAA/NCAR Boulder Atmospheric Observatory},
}

@article{maron56,
  author = {Samuel H Maron and Percy E Pierce},
  title = {Application of ree-eyring generalized flow theory to suspensions of spherical particles},
  journal = {Journal of Colloid Science},
  year = {1956},
  volume = {11},
  pages = {80--95}
}

@article{Massoudi03,
  author = {Mehrdad Massoudi},
  title = {Constitutive relations for the interaction force in multicomponent particulate flows},
  journal = {International Journal of Non-Linear Mechanics},
  year = {2003},
  volume = {38},
  number={3},
  pages = {313-336}
}

@article{Max83,
  author = {Maxey, Martin R. and Riley,James J. },
  title = {Equation of motion for a small rigid sphere in a nonuniform flow},
  journal = {Physics of Fluids},
  volume = {26},
  number = {4},
  pages = {883-889},
  year = {1983},
  doi = {10.1063/1.864230},
}

@article{Nonaka2018,
   author = {Andrew Nonaka and Marcus S. Day and John B. Bell},
   title = {A conservative, thermodynamically consistent numerical approach for low Mach number combustion. Part I: Single-level integration},
   journal = {Combustion Theory and Modelling},
   volume = {22},
   number = {1},
   pages = {156-184},
   year  = {2018},
   publisher = {Taylor & Francis},
   doi = {10.1080/13647830.2017.1390610}
}


@article{ranz52,
  author = {Ranz, W.E. and Marshall, W.R.},
  title = {Friction and transfer coefficients for single particles and packed beds},
  journal = {Chemical Engineering Science},
  year = {1952},
  volume = {48},
  number = {5},
  pages = {247-253}
}


@article{Ric54,
  author = {Richardson, J. F. and Zaki, W. N.},
  title = {Sedimentation and Fluidization: Part I},
  journal = {Transactions of the Institution of Chemical Engineers},
  year = {1954},
  volume = {32}
}

@article{roscoe52,
  author = {Roscoe, R.},
  title = {The viscosity of suspensions of rigid spheres},
  journal = {British Journal of Applied Physics},
  year = {1952},
  volume = {3},
  pages = {267}
}

@article{Sch33,
  author = {Schiller, L. and Naumann, A. },
  title = {A drag coefficient correlation},
  journal = {Zeitschrift des Vereines deutscher Ingenieure},
  year = {1933},
  volume = {77},
  pages = {318-320}
}

@article { Smag63,
      author = "J.  Smagorinsky",
      title = "General circulation experiments with the primitive equations: I. The basic experiment",
      journal = "Monthly Weather Review",
      year = "1963",
      publisher = "American Meteorological Society",
      address = "Boston MA, USA",
      volume = "91",
      number = "3",
      pages= "99 - 164"
}


@article{stevens05,
  title={Comparison of soft-sphere models to measurements of collision properties during normal impacts},
  author={Stevens, AB and Hrenya, CM},
  journal={Powder Technology},
  volume={154},
  number={2-3},
  pages={99--109},
  year={2005},
  publisher={Elsevier}
}

@article{tang15,
   author = {Tang, Y. and Peters, E. A. J. F. and Kuipers, J. A. M. and Kriebitzsch, S. H. L. and van der Hoef, M. A.},
   title = {A New Drag Correlation from Fully Resolved Simulations of Flow Past Monodisperse Static Arrays of Spheres},
   journal = {AIChE Journal},
   volume = {61},
   number = {2},
   pages = {688-698},
   year = {2015}
}


@article{tenneti11,
   author = {S. Tenneti and R. Garg and S. Subramaniam},
   title = {Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres},
   journal = {International Journal of Multiphase Flow},
   volume = {37},
   number = {9},
   pages = {1072-1092},
   year = {2011},
   issn = {0301-9322},
   doi = {https://doi.org/10.1016/j.ijmultiphaseflow.2011.05.010},
}

@article{vanleer79,
   author = "Bram [van Leer]",
   title = "Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method",
   journal = "Journal of Computational Physics",
   volume = "32",
   number = "1",
   pages = "101 - 136",
   year = "1979",
   issn = "0021-9991",
   doi = "https://doi.org/10.1016/0021-9991(79)90145-1",
}

@article{vanderhoef08,
   author = {van der Hoef, MA and van Sint Annaland, M and Deen, NG and Kuipers, JAM},
   title = {Numerical simulation of dense gas-solid fluidized beds: A multiscale modeling strategy},
   journal = {Annual Review of Fluid Mechanics},
   volume = {40},
   pages = {47-70},
   year = {2008}
}

@article{vreman09,
   author = {Vreman, B. and Geurts, B. and Deen, N. and Kuipers, J. and Kuerten, J.},
   title = {Two- and Four-Way Coupled Euler-Lagrangian Large-Eddy Simulation of Turbulent Particle-Laden Channel Flow},
   journal = {Flow Turbulence and Combustion},
   volume = {82},
   number = {1},
   pages = {47-71},
   year = {2009}
}

@techreport{weiner11,
  author      = {Bruce B. Weiner},
  title       = {What is particle size distribution weighting: How to get fooled about what was measured and what it means?},
  institution = {Brookhaven Instruments},
  year        = {2011},
  address     = {Holtsville, NY},
  publisher   = {Brookhaven Instruments},
}


@article{Wen66,
  author = {Wen, C. Y. and Yu, Y. H.},
  title = {Mechanics of fluidization},
  journal = {Chemical Engineering Progress Symposium Series},
  year = {1966},
  volume = {62},
  pages = {100-111}
}

@book{william2014,
  title={Statistics for Engineers and Scientists},
  author={William Navidi, P.},
  isbn={9780073401331},
  lccn={2013035491},
  year={2014},
  publisher={McGraw-Hill Education}
}

@article{zhu07,
  title={Discrete particle simulation of particulate systems: theoretical developments},
  author={Zhu, HP and Zhou, ZY and Yang, RY and Yu, AB},
  journal={Chemical Engineering Science},
  volume={62},
  number={13},
  pages={3378--3396},
  year={2007},
  publisher={Elsevier}
}
