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.

  • 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
  • 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
  • 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
  • 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.
  • 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
  • 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
  • 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
  • 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)
  • 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.
  • 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
  • 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:

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