Publications

Publications and Preprints

• Google Scholar

• arxiv.org

• White Rose Research Online (WillisAP)

• White Rose Research Online (WillisA)

Selected Publications

Marensi, E., He, S. and Willis, A. P. (2021) Suppression of turbulence and travelling waves in a vertical heated pipe. J. Fluid Mech. 919, A17.

Marensi, E., Ding, Z., Willis, A. P. and Kerswell, R. R. (2020) Minimal drag forcing to destabilise turbulence in pipe flows. J. Fluid Mech. 900, A31.

Budanur, N. B., Marensi, E., Willis, A. P. and Hof, B. (2020) Upper edge of chaos and the energetics of transition in pipe flow. Phys. Rev. Fluids 5, 023903.

Willis, A. P. (2019) [EPSRC Workshop notes] Equilibria, periodic orbits and computing them. arXiv:1908.06730.

Doohan, P., Willis, A. P. and Hwang, Y. (2019) Shear stress-driven flow: the state space of near-wall turbulence as Re_Ƭ → ∞. J. Fluid Mech. 874, 606-638.

Yang, Q., Willis, A. P. and Hwang, Y. (2019) Exact coherent states of attached eddies in channel flow. J. Fluid Mech. 862, 1029-1059.

Kuhnen, J., Song, B., Scarselli, D., Budanur, N. B., Willis, A. P., Avila, M. and Hof, B. (2018) Destabilising turbulence in pipe flow. Nature Physics. doi:10.1038/s41567-017-0018-3

Budanur, N. B., Short, K. Y, Farazmand, M., Willis, A. P. and Cvitanović, P. (2017) Periodic orbits form the backbone of turbulent pipe flow. J. Fluid Mech. 833, 274-301.

Guseva, A., Hollerbach, R., Willis, A. P. and Avila, M. (2017) Dynamo action in a quasi-Keplarian Taylor-Couette flow. Physical Review Letters 119, 164501.

Willis, A. P., Duguet, Y, Omel'Chenko, O. and Wolfrum, M. (2017) Surfing the edge: Using feedback control to find nonlinear solutions. J. Fluid Mech. 831, 579-591.

Willis, A. P. (2017) The Openpipeflow Naiver-Stokes Solver. SoftwareX, 6, 124-127.

Hwang, Y., Willis, A. P. and Cossu, C. (2016) Invariant solutions of minimal large-scale structures in turbulent channel flow for Re_tau up to 1000. J. Fluid Mech. 802, R1.

Matsui, H., Heien, E., Aubert, J., Aurnou, J. M., Avery, M., Brown, B., Buffett, B. A., Busse, F., Christensen, U. R., Davies, C. J., Featherstone, N., Gastine, T., Glatzmaier, G. A., Gubbins, D., Guermond, J-L., Hayashi, Y-Y., Hollerbach, R., Hwang, L. J., Jackson, A., Jones, C. A., Jiang, W., Kellogg, L. H., Kuang, W., Landeau, M., Marti, P. H., Olson, P., Ribeiro, A., Sasaki, Y., Schaeffer, N., Simitev, R. D., Sheyko, A., Silva, L., Stanley, S., Takahashi, F., Takehiro, S-I., Wicht, J. and Willis, A. P. (2016) Performance benchmarks for a next generation numerical dynamo model. Geochemistry Geophys. Geosyst. 17, 2015GC006159.

Willis, A. P., Short, K. Y. and Cvitanović, P. (2016) Symmetry reduction in high dimensions, illustrated in a turbulent pipe. Phys. Rev. E 93, 022204.

Kerswell, R. R., Pringle, C. C. T, and Willis, A. P. (2014) An optimisation approach for analysing nonlinear stability with transition to turbulence in fluids as an exemplar. Rep. Prog. Phys. 77, 085901.

Chantry, M., Willis, A. P., and Kerswell, R. R. (2014) The genesis of streamwise-localised solutions from globally periodic traveling waves in pipe flow. Physical Review Letters 112, 164501.

Willis, A. P., Cvitanović, P. and Avila, M. (2013) Revealing the state space of turbulent pipe flow by symmetry reduction. J. Fluid Mech. 721, 514-540.

Willis, A. P. (2012) Optimisation of the magnetic dynamo. Physical Review Letters 109, 251101.

Pringle, C. C. T., Willis, A. P. and Kerswell, R. R. (2012) Minimal seeds for shear flow turbulence: Using nonlinear transient growth to touch the edge of chaos. J. Fluid Mech. 702, 415-443.

Willis, A. P. and Kerswell, R. R. (2008) Coherent structures in localised and global pipe turbulence, Physical Review Letters, 100, 124501.

Duguet, Y., Willis, A. P. and Kerswell, R. R. (2008) Transition in pipe flow: The saddle structure on the boundary of turbulence, J. Fluid Mech. 613, 255-274.

Gubbins, D., Willis, A. P. and Sreenivasan, B. (2007) Correlation of Earth's magnetic field with lower mantle structure. Phys. Earth Plant. Int. 162, 256-260.
Figures reproduced for Nature, News and Views Q&A, 452, 165-167.

Willis, A. P. and Barenghi, C. F. (2002) A Taylor-Couette dynamo. Astron. Astrophys. 393, 339-434. 

Willis, A. P. and Barenghi, C. F. (2002) Magneto-rotational instability in a sheared azimuthal flow. Astron. Astrophys. 388, 688-691.