Staff profile

Research Interests

Our group is interested in theoretical and computational soft matter and biophysics. Our work is interdisciplinary, lying at the interface between Physics, Chemistry, Engineering and Biology. We are also part of the Durham Centre for Soft Matter, the Biophysical Sciences Institute, and the SOFI CDT. See here for more detailed descriptions.

We always welcome talented undergraduates, PhD students, Postdocs and visitors who want to work with us. Please contact Halim Kusumaatmaja by email if you are thinking of joining us. 

Authored book

• Krüger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G., & Viggen, E. M. (2017). The Lattice Boltzmann Method: Principles and Practice. Springer Verlag. https://doi.org/10.1007/978-3-319-44649-3

Chapter in book

• Kusumaatmaja, H., & Yeomans, J. (2010). Lattice Boltzmann Simulations of Wetting and Drop Dynamics. In A. Hoekstra, J. Kroc, & P. Sloot (Eds.), SIMULATING COMPLEX SYSTEMS BY CELLULAR AUTOMATA (241-274). SPRINGER-VERLAG BERLIN. https://doi.org/10.1007/978-3-642-12203-3%5C_11

Journal Article

• Sun, K., Gizaw, Y., Kusumaatmaja, H., & Voïtchovsky, K. (online). Nanoparticle adhesion at liquid interfaces †. Soft Matter, https://doi.org/10.1039/d4sm01101e
• Naga, A., Rennick, M., Hauer, L., Wong, W. S. Y., Sharifi-Aghili, A., Vollmer, D., & Kusumaatmaja, H. (2024). Direct visualization of viscous dissipation and wetting ridge geometry on lubricant-infused surfaces. Communications Physics, 7(1), Article 306. https://doi.org/10.1038/s42005-024-01795-3
• Wan, G., Avis, S. J., Wang, Z., Wang, X., Kusumaatmaja, H., & Zhang, T. (2024). Finding Transition State and Minimum Energy Path of Bistable Elastic Continua through Energy Landscape Explorations. Journal of the Mechanics and Physics of Solids, 183, Article 105503. https://doi.org/10.1016/j.jmps.2023.105503
• Pelizzari, M., McHale, G., Armstrong, S., Zhao, H., Ledesma-Aguilar, R., Wells, G. G., Kusumaatmaja, H., & Wells, G. G. (2023). Droplet Self-Propulsion on Slippery Liquid-Infused Surfaces with Dual-Lubricant Wedge-Shaped Wettability Patterns. Langmuir, 39(44), 15676-15689. https://doi.org/10.1021/acs.langmuir.3c02205
• Oktasendra, F., Jusufi, A., Konicek, A. R., Yeganeh, M. S., Panter, J. R., & Kusumaatmaja, H. (2023). Phase field simulation of liquid filling on grooved surfaces for complete, partial, and pseudo-partial wetting cases. The Journal of Chemical Physics, 158(20), https://doi.org/10.1063/5.0144886
• Law, J. O., Jones, C. M., Stevenson, T., Williamson, T. A., Turner, M. S., Kusumaatmaja, H., & Grellscheid, S. N. (2023). A bending rigidity parameter for stress granule condensates. Science Advances, 9(20), https://doi.org/10.1126/sciadv.adg0432
• Gardner, J. E., Wadsworth, F. B., Carley, T. L., Llewellin, E. W., Kusumaatmaja, H., & Sahagian, D. (2023). Bubble Formation in Magma. Annual Review of Earth and Planetary Sciences, 51(1), 131-154. https://doi.org/10.1146/annurev-earth-031621-080308
• Panter, J. R., Konicek, A. R., King, M. A., Jusufi, A., Yeganeh, M. S., & Kusumaatmaja, H. (2023). Rough capillary rise. Communications Physics, 6, Article 44. https://doi.org/10.1038/s42005-023-01160-w
• Christianto, R., Rahmawan, Y., Semprebon, C., & Kusumaatmaja, H. (2022). Modeling the dynamics of partially wetting droplets on fibers. Physical Review Fluids, 7(10), Article 103606. https://doi.org/10.1103/physrevfluids.7.103606
• Avis, S. J., Panter, J. R., & Kusumaatmaja, H. (2022). A robust and memory-efficient transition state search method for complex energy landscapes. The Journal of Chemical Physics, 157(12), Article 124107. https://doi.org/10.1063/5.0102145
• Panter, J., Kusumaatmaja, H., & Prior, C. (2022). A minimal model of elastic instabilities in biological filament bundles. Journal of the Royal Society. Interface, 19(194), Article 20220287. https://doi.org/10.1098/rsif.2022.0287
• Shek, A. C., & Kusumaatmaja, H. (2022). Spontaneous phase separation of ternary fluid mixtures. Soft Matter, 18(31), 5807-5814. https://doi.org/10.1039/d2sm00413e
• Calhoun, S. G., Brower, K. K., Suja, V. C., Kim, G., Wang, N., McCully, A. L., Kusumaatmaja, H., Fuller, G. G., & Fordyce, P. M. (2022). Systematic characterization of effect of flow rates and buffer compositions on double emulsion droplet volumes and stability. Lab on a Chip, 22(12), https://doi.org/10.1039/d2lc00229a
• Sammartino, C., Rennick, M., Kusumaatmaja, H., & Pinchasik, B.-E. (2022). Three-dimensional printed liquid diodes with tunable velocity: Design guidelines and applications for liquid collection and transport. Physics of Fluids, 34(11), https://doi.org/10.1063/5.0122281
• Goodband, S. J., Kusumaatmaja, H., & Voïtchovsky, K. (2022). Development of a setup to characterize capillary liquid bridges between liquid infused surfaces. AIP Advances, 12(1), Article 015120. https://doi.org/10.1063/5.0072548
• Li, Y., Avis, S. J., Zhang, T., Kusumaatmaja, H., & Wang, X. (2021). Tailoring the multistability of origami-inspired, buckled magnetic structures via compression and creasing. Materials Horizons, 8(12), 3324-3333. https://doi.org/10.1039/d1mh01152a
• Semprebon, C., Sadullah, M. S., McHale, G., & Kusumaatmaja, H. (2021). Apparent contact angle of drops on liquid infused surfaces: geometric interpretation. Soft Matter, 17(42), 9553-9559. https://doi.org/10.1039/d1sm00704a
• Kusumaatmaja, H., May, A. I., & Knorr, R. L. (2021). Intracellular wetting mediates contacts between liquid compartments and membrane-bound organelles. Journal of Cell Biology, 220(10), Article e202103175. https://doi.org/10.1083/jcb.202103175
• Li, Y., Avis, S. J., Chen, J., Wu, G., Zhang, T., Kusumaatmaja, H., & Wang, X. (2021). Reconfiguration of multistable 3D ferromagnetic mesostructures guided by energy landscape surveys. Extreme Mechanics Letters, 48, Article 101428. https://doi.org/10.1016/j.eml.2021.101428
• Pepona, M., Shek, A., Semprebon, C., Krüger, T., & Kusumaatmaja, H. (2021). Modeling ternary fluids in contact with elastic membranes. Physical Review E, 103(2), Article 022112. https://doi.org/10.1103/physreve.103.022112
• Christy, A. T., Kusumaatmaja, H., & Miller, M. A. (2021). Control of Superselectivity by Crowding in Three-Dimensional Hosts. Physical Review Letters, 126(2), Article 028002. https://doi.org/10.1103/physrevlett.126.028002
• Natarajan, B., Jaishankar, A., King, M., Oktasendra, F., Avis, S. J., Konicek, A. R., Wadsworth, G., Jusufi, A., Kusumaatmaja, H., & Yeganeh, M. S. (2021). Predicting Hemiwicking Dynamics on Textured Substrates. Langmuir, 37(1), 188-195. https://doi.org/10.1021/acs.langmuir.0c02737
• Kusumaatmaja, H., May, A. I., Feeney, M., McKenna, J. F., Mizushima, N., Frigerio, L., & Knorr, R. L. (2021). Wetting of phase-separated droplets on plant vacuole membranes leads to a competition between tonoplast budding and nanotube formation. Proceedings of the National Academy of Sciences, 118(36), Article e2024109118. https://doi.org/10.1073/pnas.2024109118
• Shek, A. C., Semprebon, C., Panter, J. R., & Kusumaatmaja, H. (2021). Capillary Bridges on Liquid-Infused Surfaces. Langmuir, 37(2), 908-917. https://doi.org/10.1021/acs.langmuir.0c03220
• Krause, M. J., Kummerländer, A., Avis, S. J., Kusumaatmaja, H., Dapelo, D., Klemens, F., Gaedtke, M., Hafen, N., Mink, A., Trunk, R., Marquardt, J. E., Maier, M.-L., Haussmann, M., & Simonis, S. (2021). OpenLB—Open source lattice Boltzmann code. Computers and Mathematics with Applications, 81, 258-288. https://doi.org/10.1016/j.camwa.2020.04.033
• Busuioc, S., Kusumaatmaja, H., & Ambruş, V. E. (2020). Axisymmetric flows on the torus geometry. Journal of Fluid Mechanics, 901, Article A9. https://doi.org/10.1017/jfm.2020.440
• Law, J. O., Dean, J. M., Miller, M. A., & Kusumaatmaja, H. (2020). Phase transitions on non-uniformly curved surfaces: Coupling between phase and location. Soft Matter, 16(34), 8069-8077. https://doi.org/10.1039/d0sm00652a
• Launay, G., Sadullah, M. S., McHale, G., Ledesma-Aguilar, R., Kusumaatmaja, H., & Wells, G. G. (2020). Self-propelled droplet transport on shaped-liquid surfaces. Scientific Reports, 10(14987), Article 14987. https://doi.org/10.1038/s41598-020-70988-x
• Sadullah, M. S., Panter, J. R., & Kusumaatmaja, H. (2020). Factors controlling the pinning force of liquid droplets on liquid infused surfaces. Soft Matter, 16(35), 8114-8121. https://doi.org/10.1039/d0sm00766h
• Wang, N., Semprebon, C., Liu, H., Zhang, C., & Kusumaatmaja, H. (2020). Modelling double emulsion formation in planar flow-focusing microchannels. Journal of Fluid Mechanics, 895, Article A22. https://doi.org/10.1017/jfm.2020.299
• Panter, J. R., Gizaw, Y., & Kusumaatmaja, H. (2020). Critical pressure asymmetry in the enclosed fluid diode. Langmuir, 36(26), 7463-7473. https://doi.org/10.1021/acs.langmuir.0c01039
• Goodband, S., Armstrong, S., Kusumaatmaja, H., & Voïtchovsky, K. (2020). The Effect of Ageing on the Structure and Properties of Model Liquid Infused Surfaces. Langmuir, 36(13), 3461-3470. https://doi.org/10.1021/acs.langmuir.0c00059
• Foster, W., Miyazawa, K., Fukuma, T., Kusumaatmaja, H., & Voïtchovsky, K. (2020). Self-assembly of small molecules at hydrophobic interfaces using group effect. Nanoscale, 12(9), 5452-5463. https://doi.org/10.1039/c9nr09505e
• Sadullah, M. S., Launay, G., Parle, J., Ledesma-Aguilar, R., Gizaw, Y., McHale, G., Wells, G., & Kusumaatmaja, H. (2020). Bidirectional Motion of Droplets on Gradient Liquid Infused Surfaces. Communications Physics, 3, Article 166. https://doi.org/10.1038/s42005-020-00429-8
• Vietri, M., Schultz, S. W., Bellanger, A., Jones, C. M., Petersen, L. I., Raiborg, C., Skarpen, E., Pedurupillay, C. R. J., Kjos, I., Kip, E., Timmer, R., Jain, A., Collas, P., Knorr, R. L., Grellscheid, S. N., Kusumaatmaja, H., Brech, A., Micci, F., Stenmark, H., & Campsteijn, C. (2020). Unrestrained ESCRT-III drives micronuclear catastrophe and chromosome fragmentation. Nature Cell Biology, 22(7), 856-867. https://doi.org/10.1038/s41556-020-0537-5
• Panter, J., Chen, J., Zhang, T., & Kusumaatmaja, H. (2019). Harnessing energy landscape exploration to control the buckling of cylindrical shells. Communications Physics, 2, Article 151. https://doi.org/10.1038/s42005-019-0251-4
• Pearce, P., Woodhouse, F., Forrow, A., Kelly, A., Kusumaatmaja, H., & Dunkel, J. (2019). Learning dynamical information from static protein and sequencing data. Nature Communications, 10, Article 5368. https://doi.org/10.1038/s41467-019-13307-x
• Sutherland, B., Olesen, S., Kusumaatmaja, H., Morgan, J., & Wales, D. (2019). Morphological analysis of chiral rod clusters from a coarse-grained single-site chiral potential. Soft Matter, 15(40), 8147-8155. https://doi.org/10.1039/c9sm01343a
• Bala, N., Pepona, M., Karlin, I., Kusumaatmaja, H., & Semprebon, C. (2019). Wetting boundaries for a ternary high-density-ratio lattice Boltzmann method. Physical Review E, 100(1), Article 013308. https://doi.org/10.1103/physreve.100.013308
• Panter, J., Gizaw, Y., & Kusumaatmaja, H. (2019). Multifaceted design optimization for superomniphobic surfaces. Science Advances, 5(6), Article eaav7328. https://doi.org/10.1126/sciadv.aav7328
• Ambrus, V., Busuioc, S., Wagner, A., Paillusson, F., & Kusumaatmaja, H. (2019). Multicomponent flow on curved surfaces: A vielbein lattice Boltzmann approach. Physical Review E, 100, https://doi.org/10.1103/physreve.100.063306
• Barlow, N. E., Kusumaatmaja, H., Salehi-Reyhani, A., Brooks, N., Barter, L. M., Flemming, A. J., & Ces, O. (2018). Measuring bilayer surface energy and curvature in asymmetric droplet interface bilayers. Journal of the Royal Society. Interface, 15(148), Article 20180610. https://doi.org/10.1098/rsif.2018.0610
• Sadullah, M., Semprebon, C., & Kusumaatmaja, H. (2018). Drop Dynamics on Liquid Infused Surfaces: The Role of the Lubricant Ridge. Langmuir, 34(27), 8112-8118. https://doi.org/10.1021/acs.langmuir.8b01660
• Law, J. O., Wong, A. G., Kusumaatmaja, H., & Miller, M. A. (2018). Nucleation on a sphere: the roles of curvature, confinement and ensemble. Molecular Physics, 116(21-22), 3008-3019. https://doi.org/10.1080/00268976.2018.1483041
• Wöhrwag, M., Semprebon, C., Mazloomi Moqaddam, A., Karlin, I., & Kusumaatmaja, H. (2018). Ternary free-energy entropic lattice Boltzmann model with a high density ratio. Physical Review Letters, 120(23), Article 234501. https://doi.org/10.1103/physrevlett.120.234501
• Guiselin, B., Law, J., Chakrabarti, B., & Kusumaatmaja, H. (2018). Dynamic morphologies and stability of droplet interface bilayers. Physical Review Letters, 120(23), Article 238001. https://doi.org/10.1103/physrevlett.120.238001
• Benet, J., Paillusson, F., & Kusumaatmaja, H. (2017). On The Critical Casimir Interaction Between Anisotropic Inclusions On A Membrane. Physical Chemistry Chemical Physics, 19(35), 24188-24196. https://doi.org/10.1039/c7cp03874g
• Hemingway, E. J., Kusumaatmaja, H., & Fielding, S. M. (2017). Edge Fracture in Complex Fluids. Physical Review Letters, 119(2), Article 028006. https://doi.org/10.1103/physrevlett.119.028006
• Panter, J., & Kusumaatmaja, H. (2017). The impact of surface geometry, cavitation, and condensation on wetting transitions: posts and reentrant structures. Journal of Physics: Condensed Matter, 29(8), Article 084001. https://doi.org/10.1088/1361-648x/aa5380
• Semprebon, C., McHale, G., & Kusumaatmaja, H. (2017). Apparent Contact Angle and Contact Angle Hysteresis on Liquid Infused Surfaces. Soft Matter, 13(1), 101-110. https://doi.org/10.1039/c6sm00920d
• Paillusson, F., Pennington, M., & Kusumaatmaja, H. (2016). Phase Separation on Bicontinuous Cubic Membranes: Symmetry Breaking, Reentrant, and Domain Faceting. Physical Review Letters, 117(5), Article 058101. https://doi.org/10.1103/physrevlett.117.058101
• Mehta, D., Chen, J., Chen, D., Kusumaatmaja, H., & Wales, D. (2016). Network of Minima of the Thomson Problem and Smale's 7th Problem. Physical Review Letters, 117(2), Article 028301. https://doi.org/10.1103/physrevlett.117.028301
• Paquay, S., Kusumaatmaja, H., Wales, D., Zandi, R., & van der Schoot, P. (2016). Energetically favoured defects in dense packings of particles on spherical surfaces. Soft Matter, 12(26), 5708-5717. https://doi.org/10.1039/c6sm00489j
• Semprebon, C., Krüger, T., & Kusumaatmaja, H. (2016). Ternary Free Energy Lattice Boltzmann Model with Tunable Surface Tensions and Contact Angles. Physical Review E, 93(3), Article 033305. https://doi.org/10.1103/physreve.93.033305
• Kusumaatmaja, H., Hemingway, E., & Fielding, S. (2016). Moving contact line dynamics: from diffuse to sharp interfaces. Journal of Fluid Mechanics, 788, 209-227. https://doi.org/10.1017/jfm.2015.697
• Kusumaatmaja, H., & Majumdar, A. (2015). Free energy pathways of a Multistable Liquid Crystal Device. Soft Matter, 11(24), 4809-4817. https://doi.org/10.1039/c5sm00578g
• Kusumaatmaja, H. (2015). Surveying the free energy landscapes of continuum models: Application to soft matter systems. The Journal of Chemical Physics, 142(12), https://doi.org/10.1063/1.4916389
• Fejer, S., Chakrabarti, D., Kusumaatmaja, H., & Wales, D. (2014). Design principles for Bernal spirals and helices with tunable pitch. Nanoscale, 6(16), 9448-9456. https://doi.org/10.1039/c4nr00324a
• Chakrabarti, D., Kusumaatmaja, H., Rühle, V., & Wales, D. (2014). Exploring energy landscapes: from molecular to mesoscopic systems. Physical Chemistry Chemical Physics, 16(11), 5014- 5025. https://doi.org/10.1039/c3cp52603h
• Mochizuki, K., Whittleston, C., Somani, S., Kusumaatmaja, H., & Wales, D. (2014). A conformational factorisation approach for estimating the binding free energies of macromolecules. Physical Chemistry Chemical Physics, 16(7), 2842-2853. https://doi.org/10.1039/c3cp53537a
• Rühle, V., Kusumaatmaja, H., Chakrabarti, D., & Wales, D. (2013). Exploring energy landscapes: metrics, pathways, and normal mode analysis for rigid-body molecules. Journal of Chemical Theory and Computation, 9(9), 4026-4034. https://doi.org/10.1021/ct400403y
• Kusumaatmaja, H., & Wales, D. (2013). Defect motifs for constant mean curvature surfaces. Physical Review Letters, 110(16), Article 165502. https://doi.org/10.1103/physrevlett.110.165502
• Vrancken, R., Blow, M., Kusumaatmaja, H., Hermans, K., Prenen, A., Bastiaansen, C., Broer, D., & Yeomans, J. (2013). Anisotropic wetting and de-wetting of drops on substrates patterned with polygonal posts. Soft Matter, 9(3), 674-683. https://doi.org/10.1039/c2sm26393a
• Kusumaatmaja, H., Whittleston, C., & Wales, D. (2012). A Local Rigid Body Framework for Global Optimization of Biomolecules. Journal of Chemical Theory and Computation, 8(12), 5159-5165. https://doi.org/10.1021/ct3004589
• Li, Y., Kusumaatmaja, H., Lipowsky, R., & Dimova, R. (2012). Wetting-Induced Budding of Vesicles in Contact with Several Aqueous Phases. Journal of Physical Chemistry B (Soft Condensed Matter and Biophysical Chemistry), 116(6), 1819-1823. https://doi.org/10.1021/jp211850t
• Kusumaatmaja, H., Lipowsky, R., Jin, C., Mutihac, R.-C., & Riegler, H. (2012). Nonisomorphic nucleation pathways arising from morphological transitions of liquid channels. Physical Review Letters, 108(12), Article 126102. https://doi.org/10.1103/physrevlett.108.126102
• Kusumaatmaja, H., & Lipowsky, R. (2011). Droplet-induced budding transitions of membranes. Soft Matter, 7(15), 6914-6919. https://doi.org/10.1039/c1sm05499f
• Vrancken, R., Kusumaatmaja, H., Hermans, K., Prenen, A., Pierre-Louis, O., Bastiaansen, C., & Broer, D. (2010). Fully Reversible Transition from Wenzel to Cassie-Baxter States on Corrugated Superhydrophobic Surfaces. Langmuir, 26(5), 3335-3341. https://doi.org/10.1021/la903091s
• Mognetti, B., Kusumaatmaja, H., & Yeomans, J. (2010). Drop dynamics on hydrophobic and superhydrophobic surfaces. Faraday Discussions, 146, 153-165. https://doi.org/10.1039/b926373j
• Kusumaatmaja, H., & Lipowsky, R. (2010). Equilibrium Morphologies and Effective Spring Constants of Capillary Bridges. Langmuir, 26(24), 18734-18741. https://doi.org/10.1021/la102206d
• Kusumaatmaja, H., Li, Y., Dimova, R., & Lipowsky, R. (2009). Intrinsic contact angle of aqueous phases at membranes and vesicles. Physical Review Letters, 103(23), Article 238103. https://doi.org/10.1103/physrevlett.103.238103
• Pooley, C., Kusumaatmaja, H., & Yeomans, J. (2009). Modelling capillary filling dynamics using lattice Boltzmann simulations. European Physical Journal - Special Topics, 171, 63-71. https://doi.org/10.1140/epjst/e2009-01012-0
• Kusumaatmaja, H., & Yeomans, J. (2009). Anisotropic hysteresis on ratcheted superhydrophobic surfaces. Soft Matter, 5(14), 2704-2707. https://doi.org/10.1039/b904807c
• Montes Ruiz-Cabello, F., Kusumaatmaja, H., Rodriguez-Valverde, M., Yeomans, J., & Cabrerizo-Vilchez, M. (2009). Modeling the Corrugation of the Three-Phase Contact Line Perpendicular to a Chemically Striped Substrate. Langmuir, 25(14), 8357-8361. https://doi.org/10.1021/la900579s
• Blow, M., Kusumaatmaja, H., & Yeomans, J. (2009). Imbibition through an array of triangular posts. Journal of Physics: Condensed Matter, 21(46), Article 464125. https://doi.org/10.1088/0953-8984/21/46/464125
• Pooley, C., Kusumaatmaja, H., & Yeomans, J. (2008). Contact line dynamics in binary lattice Boltzmann simulations. Physical review E: Statistical, nonlinear, and soft matter physics, 78(5, 2), Article 056709. https://doi.org/10.1103/physreve.78.056709
• Kusumaatmaja, H., Pooley, C., Girardo, S., Pisignano, D., & Yeomans, J. (2008). Capillary filling in patterned channels. Physical review E: Statistical, nonlinear, and soft matter physics, 77(6, 2), Article 067301. https://doi.org/10.1103/physreve.77.067301
• Kusumaatmaja, H., Vrancken, R., Bastiaansen, C., & Yeomans, J. (2008). Anisotropic drop morphologies on corrugated surfaces. Langmuir, 24(14), 7299-7308. https://doi.org/10.1021/la800649a
• Kusumaatmaja, H., Blow, M., Dupuis, A., & Yeomans, J. (2008). The collapse transition on superhydrophobic surfaces. European Physical Society Letters, 81(3), Article 36003. https://doi.org/10.1209/0295-5075/81/36003
• Yeomans, J., & Kusumaatmaja, H. (2007). Modelling drop dynamics on patterned surfaces. Bulletin of the Polish Academy of Sciences Technical Sciences, 55(2), 203-210
• Kusumaatmaja, H., & Yeomans, J. (2007). Controlling drop size and polydispersity using chemically patterned surfaces. Langmuir, 23(2), 956-959. https://doi.org/10.1021/la062082w
• Kusumaatmaja, H., & Yeomans, J. (2007). Modeling contact angle hysteresis on chemically patterned and superhydrophobic surfaces. Langmuir, 23(11), 6019-6032. https://doi.org/10.1021/la063218t
• Kusumaatmaja, H., Leopoldes, J., Dupuis, A., & Yeomans, J. (2006). Drop dynamics on chemically patterned surfaces. European Physical Society Letters, 73(5), 740-746. https://doi.org/10.1209/epl/i2005-10452-0
• Kusumaatmaja, H., Dupuis, A., & Yeomans, J. (2006). Lattice Boltzmann simulations of drop dynamics. Mathematics and Computers in Simulation, 72(2-6), 160-164. https://doi.org/10.1016/j.matcom.2006.05.016