References - gnomeCreative/HYBIRD GitHub Wiki

References

Aidun, C. K. & Lu, Y. (1995), ‘Lattice Boltzmann simulation of solid particles suspended in fluid’, Journal of Statistical Physics 81(1-2), 49–61.

Antypov, D. & Elliott, J. A. (2011), ‘On an analytical solution for the damped Hertzian spring’, EPL (Europhysics Letters) 94(5), 50004.

Bhatnagar, P. L., Gross, E. P. & Krook, M. (1954), ‘A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems’, Physical Review 94(3), 511–525.

Bicanic, N. (2007), Discrete Element Methods, in E. Stein, R. de Borst & T. J. R. Hughes, eds, Encyclopedia of Computational Mechanics, John Wiley & Sons, Ltd, pp. 311–337.

Cabrera, M. A., Pinzon, G., Take, W. A. & Mulligan, R. P. (2020), ‘Wave Generation Across a Continuum of Landslide Conditions From the Collapse of Partially Submerged to Fully Submerged Granular Columns’, Journal of Geophysical Research: Oceans 125(12), 1–16.

Chapman, S. & Cowling, T. G. (1991), The Mathematical Theory of Non-Uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases, Cambridge University Press.

Feng, Z.-G. & Michaelides, E. E. (2005), ‘Proteus: a direct forcing method in the simulations of particulate flows’, Journal of Computational Physics 202(1), 20–51.

Glowinski, R., Pan, T., Hesla, T., Joseph, D. & Périaux, J. (2001), ‘A Fictitious Domain Approach to the Direct Numerical Simulation of Incompressible Viscous Flow past Moving Rigid Bodies: Application to Particulate Flow’, Journal of Computational Physics 169(2), 363–426.

Guo, Z., Zheng, C. & Shi, B. (2002), ‘Discrete lattice effects on the forcing term in the lattice Boltzmann method’, Physical Review E 65, 046308.

Haff, P. & Werner, B. (1986), ‘Computer simulation of the mechanical sorting of grains’, Powder Technology 48(3), 239–245.

Hertz, H. (1894), Die Prinzipien der Mechanik, Barth.

Jop, P., Forterre, Y. & Pouliquen, O. (2006), ‘A constitutive law for dense granular flows’, Nature 441(7094), 727–30.

Körner, C., Thies, M., Hofmann, T., Thürey, N. & Rüde, U. (2005), ‘Lattice Boltzmann Model for Free Surface Flow for Modeling Foaming’, Journal of Statistical Physics 121(1-2), 179–196.

Krüger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G. & Viggen, E. M. (2017), The Lattice Boltzmann Method. Principles and Practice, Springer International Publishing.

Kuwabara, G. & Kono, K. (1987), ‘Restitution Coefficient in a Collision between Two Spheres’, Japanese Journal of Applied Physics 26(8), 1230–1233.

Ladd, A. J. C. (1994), ‘Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation’, Journal of Fluid Mechanics 271, 285–309.

Lagrée, P.-Y., Staron, L. & Popinet, S. (2011), ‘The granular column collapse as a continuum: validity of a two-dimensional Navier–Stokes model with a mu(I)-rheology’, Journal of Fluid Mechanics 686, 378–408.

Leonardi, A. (2015), ‘Numerical simulation of debris flow and interaction between flow and obstacle via DEM’.

Leonardi, C. R., Owen, D. R. J. & Feng, Y. T. (2012), ‘Simulation of fines migration using a non-Newtonian lattice Boltzmann-discrete element model Part II: 3D extension and applications’, Engineering Computations 29(4), 392–418.

McNamara, G. R. & Zanetti, G. (1988), ‘Use of the Boltzmann Equation to Simulate Lattice-Gas Automata’, Physical Review Letters 61(20), 2332–2335.

Mohamad, A. (2011), Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Codes.

Monitzer, A. (2012), ‘Combining lattice Boltzmann and discrete element methods on a graphics processor’, International Journal of High Performance Computing Applications 26(3), 215–226.

Pöschel, T. & Schwager, T. (2005), Computational Granular Dynamics: Models and Algorithms, Springer.

Švec, O., Skoček, J., Stang, H., Geiker, M. R. & Roussel, N. (2012), ‘Free surface flow of a suspension of rigid particles in a non-Newtonian fluid: A lattice Boltzmann approach’, Journal of Non-Newtonian Fluid Mechanics 179-180, 32–42.

Tsuji, Y., Tanaka, T. & Ishida, T. (1992), ‘Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe’, Powder Technology 71, 239–250.