oomph-lib related Publications

Here is a list of publications resulting from (or produced with) oomph-lib. If you have produced any work with oomph-lib and would like it to be listed here, send us a URL (or an electronic version of the publication) and we will install a link to it.

  • Diekmann, Jan, and Uwe Thiele. “Mesoscopic hydrodynamic model for spreading, sliding, and coarsening compound drops”. Physical Review Fluids 10 (2025): 024002. https://doi.org/10.1103/physrevfluids.10.024002.
  • Hartmann, Simon, and Uwe Thiele. “Gradient dynamics model for drops of volatile liquid on a porous substrate”. Physical Review Fluids 10 (2025): 014003. https://doi.org/10.1103/physrevfluids.10.014003.
  • Pietz, Anthony, Karin John, and Uwe Thiele. “The role of substrate mechanics in osmotic biofilm spreading”. Soft Matter 21 (2025): 2935–2945. https://doi.org/10.1039/d4sm01463d.
  • Voss, Florian, and Uwe Thiele. “Chemo-mechanical motility modes of partially wetting liquid droplets” (2025). https://doi.org/10.48550/ARXIV.2504.03297.
  • Zeugin, T., Keuchel, P., Morón, D., Coulter, F. B., Halic, M. M. N., Heil, M., Avila, M., & Holzner, M. (2025). Fluid structure interaction in pulsatile flow through an elastic pipe segment. Physical Review Fluids, 10(7), Article 073101. https://doi.org/10.1103/ymqr-dbsw
  • Fontana, J. V., Cuttle, C., Pihler-Puzovic, D., Hazel, A. L. & Juel, A. (2024) Peeling fingers in an elastic Hele-Shaw channel. Journal of Fluid Mechanics 985 DOI: 10.1017/jfm.2024.210
  • Lawless, J., Keeler, J., Hazel, A. L. & Juel, A. (2024) Stable bubble formations in a depth-perturbed Hele-Shaw channel Physical Review Fluids 9, 093605. DOI: 10.1103/physrevfluids.9.093605
  • Miara, T., Vaquero-Stainer, C., Pihler-Puzovic, D., Heil, M., & Juel, A. (2024). Dynamics of inertialess sedimentation of a rigid U-shaped disk. Communications physics, 7(47). https://doi.org/10.1038/s42005-024-01537-5
  • Vaquero-Stainer, C., Miara, T., Juel, A., Pihler-Puzovic, D., & Heil, M. (2024). U-shaped disks in Stokes flow: Chiral sedimentation of a non-chiral particle. Journal of Fluid Mechanics, 999. https://doi.org/10.1017/jfm.2024.923
  • Diekmann, Jan, and Uwe Thiele. “Drops of volatile binary mixtures on brush-covered substrates”. The European Physical Journal Special Topics 233 (2024): 1615–1624. https://doi.org/10.1140/epjs/s11734-024-01169-4.
  • Hartmann, Simon, et al. “Drops on Polymer Brushes: Advances in Thin-Film Modeling of Adaptive Substrates”. Langmuir 40 (2024): 4001–4021. https://doi.org/10.1021/acs.langmuir.3c03313.
  • Voss, Florian, and Uwe Thiele. “Gradient dynamics approach to reactive thin-film hydrodynamics”. Journal of Engineering Mathematics 149 (2024). https://doi.org/10.1007/s10665-024-10402-x.
  • Deblais, A., Xie, K., Lewin-Jones, P., Aarts, D., Herrada, M. A., Eggers, J., Sprittles, J. E., & Bonn, D. (2025). Early stages of drop coalescence. Physical Review Fluids, 10(4), L042001. https://doi.org/10.1103/PhysRevFluids.10.L042001
  • Lewin-Jones, P., Lockerby, D. A., & Sprittles, J. E. (2024). Collision of liquid drops: Bounce or merge? Journal of Fluid Mechanics, 995, A1. https://doi.org/10.1017/jfm.2024.722
  • Sprittles, J. E. (2024). Gas Microfilms in Droplet Dynamics: When Do Drops Bounce? Annual Review of Fluid Mechanics, 56(1), 91–118. https://doi.org/10.1146/annurev-fluid-121021-021121

  • Diddens, C. & Rocha, D. (2024). Bifurcation tracking on moving meshes and with consideration of azimuthal symmetry breaking instabilities. Journal of Computational Physics 518, 113306. https://doi.org/10.1016/j.jcp.2024.113306

    This paper provides a detailed description of pyoomph, "...an object-oriented multi-physics finite element framework for Python. It is mainly a custom high level frontend for the prime functionalities of the powerful C++ library oomph-lib..." (quote from their webpage). They maintain their own, impressively long list of publications (35 at the time of writing this (August 2025)) that involved the use of pyoomph or its predecessor codes.

  • Maretvadakethope, S., Hazel, A. L., Vasiev, B. & Bearon, R. N. (2023) The interplay between bulk flow and boundary conditions on the distribution of micro-swimmers in channel flow. Journal of Fluid Mechanics 976, A13. DOI: 10.1017/jfm.2023.897
  • Smith, K., Retallick, A., Melendrez Armada, D., Vijayaraghavan, A., & Heil, M. (2023). Modelling graphene-polymer heterostructure MEMS membranes with the Föppl–von Kármán equations. ACS Applied Materials and Interfaces . https://doi.org/10.1021/acsami.2c21096
  • Li, H., Retallick, A., Juel, A., Heil, M., & Pihler-Puzovic, D. (2023). Swelling-induced Patterning in Soft Microchannels. Soft Matter. https://doi.org/10.1039/D3SM01008B
  • Cheng, H., Luding, S. & Weinhart, T. (2023), CG-enriched concurrent multi-scale modeling of dynamic surface interactions between discrete particles and solid continua. Acta Mechanica Sinica, 39(1). Article 722218. https://doi.org/10.1007/s10409-022-22218-x
  • Cheng, H., Thornton, A. R., Luding, S., Hazel, A. L. & Weinhart, T. (2023), Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling. Computer methods in applied mechanics and engineering, 403 (Part A). Article 115651. https://doi.org/10.1016/j.cma.2022.115651
  • Greve, Daniel, Simon Hartmann, and Uwe Thiele. “Stick-slip dynamics in the forced wetting of polymer brushes”. Soft Matter 19 (2023): 4041–4061. https://doi.org/10.1039/d3sm00104k.
  • Hartmann, Simon, et al. “Sessile drop evaporation in a gap – crossover between diffusion-limited and phase transition-limited regime”. Journal of Fluid Mechanics 960 (2023). https://doi.org/10.1017/jfm.2023.176.
  • Kap, Özlem, et al. “Nonequilibrium configurations of swelling polymer brush layers induced by spreading drops of weakly volatile oil”. The Journal of Chemical Physics 158 (2023). https://doi.org/10.1063/5.0146779.
  • Kasischke, Maren, et al. “Pattern formation in slot-die coating”. Physics of Fluids 35 (2023). https://doi.org/10.1063/5.0150340.
  • Keeler, J. S., Gaillard, A., Lawless, J., Thompson, A., Juel, A. & Hazel, A. (2022) The interaction of multiple bubbles in a Hele-Shaw channel Journal of Fluid Mechanics 946 A40 DOI: 10.1017/jfm.2022.618
  • Lawless, J., Keeler, J., Gaillard, A., Hazel, A. & Juel, A. (2022) The Unpredictable Nature of Bubble Evolution. Scientific Reports, 12. DOI: 10.1038/s41598-022-23231-8
  • Henkel, C., et al. “Soft wetting with (a)symmetric Shuttleworth effect”. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 478 (2022). https://doi.org/10.1098/rspa.2022.0132.
  • Stegemerten, Fenna, Karin John, and Uwe Thiele. “Symmetry-breaking, motion and bistability of active drops through polarization-surface coupling”. Soft Matter 18 (2022): 5823–5832. https://doi.org/10.1039/d2sm00648k.

  • Matharu, P., Hazel, A., & Heil, M. (2021). Spatio-temporal symmetry breaking in the flow past an oscillating cylinder. Journal of Fluid Mechanics, 918, A42. doi:10.1017/jfm.2021.358.

    See also the accompanying "Focus on Fluids" article: Hourigan, K. (2021). Exotic wakes of an oscillating circular cylinder: How singles pair up. Journal of Fluid Mechanics, 922, F1. doi:10.1017/jfm.2021.492

  • Nogueira Fontana, J.V., Juel, A., Bergemann, N., Heil, M. & Hazel, A. (2021) Modelling finger propagation in elasto-rigid channels. Journal of Fluid Mechanics 916 A27. doi:10.1017/jfm.2021.219
  • Henkel, Christopher, Jacco H. Snoeijer, and Uwe Thiele. “Gradient-dynamics model for liquid drops on elastic substrates”. Soft Matter 17 (2021): 10359–10375. https://doi.org/10.1039/d1sm01032h.
  • Mitas, Kevin David Joachim, Ofer Manor, and Uwe Thiele. “Bifurcation study for a surface-acoustic-wave-driven meniscus”. Physical Review Fluids 6 (2021): 094002. https://doi.org/10.1103/physrevfluids.6.094002.
  • Keeler, J., Thompson, A., Lemoult, G., Juel, A. & Hazel, A. (2020) The influence of invariant solutions on the transient behaviour of an air bubble in a Hele-Shaw channel. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 475, p. 1-21 21 p., 20190434. DOI: 10.1098/rspa.2019.0434
  • Xu, D., Heil,M., Seeboeck, T. & Avila, M. (2020)
    Resonances in Pulsatile Channel Flow with an Elastic Wall Phys. Rev. Lett. 125, 254501. DOI: 10.1103/PhysRevLett.125.254501
  • Thiele, Uwe, and Simon Hartmann. “Gradient dynamics model for drops spreading on polymer brushes”. The European Physical Journal Special Topics 229 (2020): 1819–1832. https://doi.org/10.1140/epjst/e2020-900231-2.
  • Trinschek, Sarah, et al. “Thin-film modeling of resting and moving active droplets”. Physical Review E 101 (2020): 062802. https://doi.org/10.1103/physreve.101.062802.
  • Saxby, B. & Hazel, A. (2019) Improving the Modified XFEM for Optimal High-Order Approximation. International Journal for Numerical Methods in Engineering. 10.1002/nme.6214
  • Kant, P., Hazel, A., Dowling, M., Thompson, A. & Juel, A. (2019) POLED displays: Robust printing of pixels. Applied Physics Letters . DOI: 10.1063/1.5115410
  • Vaquero-Stainer, C., Heil, M., Juel, A. & Pihler-Puzovic, D. (2019) Self-similar and disordered front propagation in a radial Hele-Shaw channel with time-varying cell depth. Physical Review Fluids 4, 064002. DOI: 10.1103/PhysRevFluids.4.064002.
  • Shepherd, D., Miles, J., Heil, M. & Mihajlovic, M. (2019) An adaptive step implicit midpoint rule for the time integration of Newton's linearisations of non-linear problems with applications in micromagnetics. Journal of Scientific Computing 80, 1058-1082. DOI: 10.1007/s10915-019-00965-8
  • Nielsen, A.R., Heil, M., Andersen, M. & Brons, M. (2019) Bifurcation theory for vortices with application to boundary layer eruption. Journal of Fluid Mechanics 865, 831-849. DOI: https://doi.org/10.1017/jfm.2019.97
  • Franco Gomez, A., Thompson, A., Hazel, A. & Juel, A. (2018) Bubble propagation in Hele-Shaw channels with centred constrictions Fluid Dynamics Research. DOI: 10.1088/1873-7005/aaa5cf
  • Banks, M., Hazel, A. & Riley, G. (2018) Quantitative Validation of Physically Based Deformable Models in Computer Graphics. DOI: 10.2312/vriphys.20181062
  • Kant, P., Hazel, A., Dowling, M., Thompson, A. B. & Juel, A. (2018) Sequential deposition of microdroplets on patterned surfaces Soft Matter , 14, 43, p. 8709-8716. DOI: 10.1039/C8SM01373J
  • Pihler-Puzovic, D., Peng, G., Lister, J. R., Heil, M. & Juel, A. (2018) Viscous fingering in a radial elastic-walled Hele-Shaw cell. Journal of Fluid Mechanics 849, 163-191. DOI: https://doi.org/10.1017/jfm.2018.404
  • Bergemann, N., Juel, A. & Heil, M. (2018) Viscous drop spreading on a layer of the same fluid: from sinking, wedging and spreading to their long-time evolution. Journal of Fluid Mechanics 843, 1-28. DOI: https://doi.org/10.1017/jfm.2018.127.
  • Kant, P., Hazel, A., Dowling, M., Thompson, A. & Juel, A. (2017) Controlling droplet spreading with topography. Physical Review Fluids, 2, 094002. DOI: 10.1103/PhysRevFluids.2.094002
  • Johnson, C., Jain, U., Hazel, A., Pihler-Puzovic, D. & Mullin, T. (2017) On the Buckling of an Elastic Holey Column. Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences. DOI: 10.1098/rspa.2017.0477
  • Hazel, A. & Mullin, T. (2017) On the Buckling of Elastic Rings by External Confinement. Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences, 375, 2093, 20160227. DOI: 10.1098/rsta.2016.0227
  • Walters, M.C., Heil, M., Whittaker, R.J. (2017) The Effect of Wall Inertia on High-Frequency Instabilities of Flow Through an Elastic-Walled Tube The Quarterly Journal of Mechanics and Applied Mathematics, hbx024. Direct electronic access to article. DOI: https://doi.org/10.1093/qjmam/hbx024
  • Radtke, P. K., Hazel, A., Straube, A. V. & Schimansky-Geier, L. (2017) Stochastic Dynamics of Resistive Switching: Fluctuations Lead to Optimal Particle Number. New Journal of Physics. DOI: 10.1088/1367-2630/aa818b
  • Cisonni, J., Lucey, A.D., Elliott, S.J & Heil, M. (2017) The stability of a flexible cantilever in viscous channel flow Journal of Sound and Vibration 369 186-202. DOI: 10.1016/j.jsv.2017.02.045
  • Lopes, André v. B., Uwe Thiele, and Andrew L. Hazel. “On the multiple solutions of coating and rimming flows on rotating cylinders”. Journal of Fluid Mechanics 835 (2017): 540–574. https://doi.org/10.1017/jfm.2017.756.
  • Heil, M., Rosso, J., Hazel, A.L., Brons, M. (2017). Topological fluid mechanics of the formation of the Karman-vortex street. Journal of Fluid Mechanics 812 199-221. DOI: https://doi.org/10.1017/jfm.2016.792 (Open Access).
  • Bertram, C. & Heil, M. (2017). A Poroelastic Fluid/Structure-Interaction Model of Cerebrospinal Fluid Dynamics in the Cord with Syringomyelia and Adjacent Subarachnoid-Space Stenosis. Journal of Biomechanical Engineering, 139(1), 1-10. DOI: 10.1115/1.4034657
  • Pihler-Puzovic, D., Hazel, A. & Mullin, T. (2016) Buckling of a Holey Column. Soft Matter, 12, p. 7112-7118. DOI: 10.1039/C6SM00948D
  • Franco Gomez, A., Thompson, A., Hazel, A. & Juel, A. (2016) Sensitivity of Saffman-Taylor fingers to channel-depth perturbations. Journal of Fluid Mechanics, 794, p. 343-368. DOI: 10.1017/jfm.2016.131
  • Heil, M. & Bertram, C. (2016). A poroelastic fluid-structure interaction model of syringomyelia. Journal of Fluid Mechanics, 809, 360-389. DOI: https://doi.org/10.1017/jfm.2016.669
  • Pestana, J., Muddle, R., Heil, M., Tisseur, F. & Mihajlovic M. (2016) Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem. SIAM Journal on Scientific Computing 38(1), A325-A345. DOI: 10.1137/15M1014887 . (pdf)
  • Bearon, R. N. & Hazel, A. L. (2015) The trapping in high-shear regions of slender bacteria undergoing chemotaxis in a channel. Journal of Fluid Mechanics, 771, p. R3-1-R3-13. DOI: 10.1017/jfm.2015.198
  • Heil, M. & Hazel, A.L. (2015) Flow in flexible/collapsible tubes. In: Fluid-Structure Interactions in Low-Reynolds-Number Flows. Eds: Duprat, C. & Stone, H.A. Royal Society of Chemistry, RSC Publishing.
  • Pihler-Puzovic, D., Juel, A., Peng, G., Lister, J. & Heil, M. (2015) Displacement flows under elastic membranes. Part 1: Experiments and direct numerical simulations. Journal of Fluid Mechanics 784 487- 511. DOI: doi:10.1017/jfm.2015.590 . (pdf)
  • Peng, G., Pihler-Puzovic, D., Juel, A., Heil, M. & Lister, J. (2015) Displacement flows under elastic membranes. Part 2: Analysis of interfacial effects. Journal of Fluid Mechanics 784 512- 547. DOI: doi:10.1017/jfm.2015.589 . (pdf)
  • Cimpeanu, R., Martinsson, A. & Heil, M. (2015) A parameter-free perfectly matched layer formulation for the finite-element-based solution of the Helmholtz equation. Journal of Computational Physics 296 329–347. DOI: doi:10.1016/j.jcp.2015.05.006.
  • Dijkstra, H. A., Wubs, F. W., Cliffe, A. K., Doedel, E., Dragomirescu, I. F., Eckhardt, B., Gelfgat, A. Y., Hazel, A. L., Lucarini, V., Salinger, A. G., Phipps, E. T., Juan, S. U., Schuttelaars, H., Tuckerman, L. S. & Thiele, U. (2014) Numerical bifurcation methods and their application to fluid dynamics: Analysis beyond simulation Communications in Computational Physics, 15, 1, p. 1-45. DOI: 10.4208/cicp.240912.180613a
  • Pihler-Puzovic, D., Perillat, R., Russell, M., Juel, A. & Heil, M. (2013) Modelling the suppression of viscous fingering in elastic-walled Hele-Shaw cells. Journal of Fluid Mechanics 731, 162-183 DOI: 10.1017/jfm.2013.375
  • Pihler-Puzovic, D., Juel, A. & Heil, M. (2014) The interaction between viscous fingering and wrinkling in elastic-walled Hele-Shaw cells. Physics of Fluids 26, 022102. DOI: doi:10.1063/1.4864188.
  • Shepherd, D., Miles, J., Heil, M., Mihajlovic, M. (2014) Discretisation induced stiffness in micromagnetic simulations. IEEE Trans. Magn., 50(11) 7201304. DOI: 10.1109/TMAG.2014.2325494
  • Thompson, A., Juel, A. & Hazel, A. L. (2014) Multiple finger propagation modes in Hele-Shaw channels of variable depth. Journal of Fluid Mechanics, 746, p. 123-164 DOI: 10.1017/jfm.2014.100
  • Thompson, A., Tipton, C., Juel, A., Hazel, A. & Dowling, M. (2014) Sequential deposition of overlapping droplets to form a liquid line. Journal of Fluid Mechanics, 761, p. 261-281 DOI: 10.1017/jfm.2014.621
  • Muddle, R.L., Mihajlovic, M. & Heil, M. (2012) An efficient preconditioner for monolithically-coupled large-displacement fluid-structure interaction problems with pseudo-solid mesh updates. Journal of Computational Physics 231, 7315-7334. DOI: 10.1016/j.jcp.2012.07.001
  • Heil, M., Kharrat, T., Cotterill, P.A. & Abrahams, I.D. (2012) Quasi-resonances in sound-insulating coatings. Journal of Sound and Vibration 331 4774-4784. DOI: 10.1016/j.sv.2012.05.029
  • Hazel, A. L., Heil, M., Waters, S.L. & Oliver, J.M. (2012) On the liquid lining in fluid-conveying curved tubes. Journal of Fluid Mechanics 705, 213-233. DOI: 10.1017/jfm.2011.346
  • Willoughby, N., Parnell, W. J., Hazel, A. L. & Abrahams, I. D.(2012) Homogenization methods to approximate the effective response of random fibre-reinforced composites International Journal of Solids and Structures 49, 1421–1433. DOI: 10.1016/j.ijsolstr.2012.02.010
  • Hewitt, R. E., Hazel, A. L., Clarke, R. J. & Denier, J. P. (2011) Unsteady flow in a torus after a sudden change in rotation rate Journal of Fluid Mechanics , 68, 88–119. DOI: 10.1017/jfm.2011.36
  • Haines, P.E. Hewitt, R. E. & Hazel, A. L. (2011) The Jeffery–Hamel similarity solution and its relation to flow in a diverging channel Journal of Fluid Mechanics , 687, 404–430. DOI: 10.1017/jfm.2011.362
  • Bearon, R. N., Hazel, A. L. & Thorn, G. J. (2011) The spatial distribution of gyrotactic swimming micro-organisms in laminar flow fields. Journal of Fluid Mechanics , 680, 602–635. DOI: 10.1017/jfm.2011.198
  • Stewart, P.S., Heil, M., Waters, S.L. & Jensen, O.E. (2010) Sloshing and slamming oscillations in collapsible channel flow. Journal of Fluid Mechanics 662, 288-319. (abstract) (pdf) (Supplementary material (movie))
  • Whittaker, R.J., Heil, M., Jensen, O.E., & Waters, S.L. (2010) The onset of high-frequency self-excited oscillations in elastic-walled tubes. Proceedings of the Royal Society A 466, 3635-3657. (abstract) (pdf)
  • Whittaker, R.J., Heil, M., Jensen, O.E., & Waters, S.L. (2010) A rational derivation of a tube law from shell theory. Quarterly Journal of Mechanics and Applied Mathematics (pdf) (abstract)
  • Heil, M., Boyle, J. (2010) Self-excited oscillations in three-dimensional collapsible tubes: Simulating their onset and large-amplitude oscillations. Journal of Fluid Mechanics 652, 405-426 (abstract) (pdf)
  • Whittaker, R.J., Waters, S.L., Jensen, O.E., Boyle, J. & Heil, M. (2010) The energetics of flow through a rapidly oscillating tube. Part I: General theory. Journal of Fluid Mechanics 648, 83-121 (abstract) (pdf)
  • Whittaker, R.J., Heil, M., Boyle, J., Jensen, O.E., & Waters, S.L. (2010) The energetics of flow through a rapidly oscillating tube. Part II: Application to an elliptical tube. Journal of Fluid Mechanics 648, 123-153 (abstract) (pdf)
  • de Lózar, A., Juel, A. & Hazel, A. L. (2008) The steady propagation of an air finger into a rectangular tube. Journal of Fluid Mechanics 614, pp 173–195. Link to electronic journal
  • Hazel, A.L. & Heil, M. (2008) The influence of gravity on the steady propagation of a semi-infinite bubble into a flexible channel. Physics of Fluids 20, 092109. (abstract) (pdf preprint)
  • Heil, M., Hazel, A.L. & Boyle, J. (2008): Solvers for large-displacement fluid-structure interaction problems: Segregated vs. monolithic approaches. Computational Mechanics. (journal link)
  • Heil, M. & Waters, S.L. (2008) How rapidly oscillating collapsible tubes extract energy from a mean flow. Journal of Fluid Mechanics 601, 199-227. (journal link).
  • Hewitt, R. E. & Hazel, A. L. (2006) Midplane-symmetry breaking in the flow between two counter-rotating disks. Journal of Engineering Mathematics
    DOI: 10.1007/s10665-006-9098-2. (journal link)
  • Heil, M. & Hazel, A. L. (2006) oomph-lib – An Object-Oriented Multi-Physics Finite-Element Library. In: Fluid-Structure Interaction, Editors: M. Schafer und H.-J. Bungartz. Springer (Lecture Notes on Computational Science and Engineering), pp 19–49. (abstract) (pdf preprint)
  • Heil, M. & Waters, S.L. (2006) Transverse flows in rapidly oscillating, elastic cylindrical shells. Journal of Fluid Mechanics 547, 185-214. (abstract) (pdf preprint)
  • Jensen, O.E. & Heil, M. (2003) High-frequency self-excited oscillations in a collapsible-channel flow. Journal of Fluid Mechanics 481 235-268. (pdf preprint) (abstract)

    The computations shown in this paper were performed in the days before oomph-lib, but the problem considered in this study now features in oomph-lib demo problems:

PDF file

A pdf version of this document is available. \