Prof Matthias Heil - publications


List of publications



  • Bertram, C. D., & Heil, M. (2016). 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), [011001]. DOI: 10.1115/1.4034657. Publication link: 8b4f4030-2895-46d7-aade-5e37f4760e5d
  • Heil, M., & Bertram, C. D. (2016). A poroelastic fluid-structure interaction model of syringomyelia. Journal of Fluid Mechanics, 809, 360-389. DOI: 10.1017/jfm.2016.669. Publication link: 9438581c-0827-42c7-b7d7-06796ec524f9


  • Heil, M., Hazel, A., Duprat, C. (Ed.), & Stone, H. A. (Ed.) (2015). Flow in flexible/collapsible tubes. In Fluid-Structure Interactions in Low-Reynolds-Number Flows. (pp. 280-312). Cambridge: Royal Society of Chemistry. DOI: 10.1039/9781782628491. Publication link: aff085df-727d-4025-a08c-8066fa7400ab
  • Evatt, G., Abrahams, I. D., Heil, M., Mayer, C., Kingslake, J., Mitchell, S. L., ... Clark, C. D. (2015). Glacial melt under a porous debris layer. Journal of Glaciology, 61(229), 825-836. DOI: 10.3189/2015JoG14J235. Publication link: f0187075-9c62-4c10-8b3f-0ed497cb3cd5
  • 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: 10.1016/ Publication link: 103938f2-781a-46df-b59b-44d325d85d0f
  • Pihler-Puzovic, D., Juel, A., Peng, G. G., Lister, J. R., & Heil, M. (2015). Displacement flows under elastic membranes. Part 1: Experiments and direct numerical simulations. Journal of Fluid Mechanics, 784, 487-511. DOI: 10.1017/jfm.2015.590. Publication link: 3daf8a59-a0ec-40a0-8f6f-57e7d7f49d93
  • Peng, G. G., Pihler-Puzovic, D., Juel, A., Heil, M., & Lister, J. R. (2015). Displacement flows under elastic membranes. Part 2: Analysis of interfacial effects. Journal of Fluid Mechanics, 784, 512-547. DOI: 10.1017/jfm.2015.589. Publication link: 674d288e-211f-47de-ad92-2dbcd4f1f642



  • 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. Publication link: 9ec6ccc9-185e-480c-a59e-e1d3e98362a2




  • Stewart, P. S., Heil, M., Waters, S. L., & Jensen, O. E. (2010). Sloshing and slamming oscillations in a collapsible channel flow. Journal of Fluid Mechanics, 662, 288-319. DOI: 10.1017/S0022112010003277. Publication link: cf12c55c-7c79-42e6-8462-64d2928eeb8c
  • 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, 63(4), 465-496. DOI: 10.1093/qjmam/hbq020. Publication link: a15eaf0d-b387-409f-8361-f64871913cc1
  • Whittaker, R. J., Heil, M., Jensen, O. E., & Waters, S. L. (2010). Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466(2124), 3635-3657. DOI: 10.1098/rspa.2009.0641. Publication link: 6723460a-c7b7-4498-bbe2-c1840464153b



  • Quinsac, C., Heil, M., Jackson, A., & Dark, P. (2007). Instantaneous versus average wave speed calculation in large mammals under acute hemorrhage. Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, 971-972. [4352454]. DOI: 10.1109/IEMBS.2007.4352454. Publication link: 0a077bdd-40ce-4612-8212-863f53e93621



  • Hazel, A. L., & Heil, M. (2005). Surface-tension-induced buckling of liquid-lined elastic tubes: A model for pulmonary airway closure. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461(2058), 1847-1868. DOI: 10.1098/rspa.2005.1453. Publication link: 38721116-144f-47d2-8db8-88780da85769


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