# Publications for Chris Keylock

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## Journal Articles

**Keylock, CJ**(2018) The Schur decomposition of the velocity gradient tensor for turbulent flows,

*Journal of Fluid Mechanics*, 848, pp.876-905, ISSN: 0022-1120. DOI: 10.1017/jfm.2018.344. Truong, HK,

**Keylock, CJ**, Eckert, N, Bellot, H, Naaïm, M (2018) Refining the processing of paired time series data to improve velocity estimation in snow flows,

*Cold Regions Science and Technology*, 151, pp.75-88, ISSN: 0165-232X. DOI: 10.1016/j.coldregions.2018.03.004.

**Keylock, CJ**(2018) Gradual multifractal reconstruction of time-series: Formulation of the method and an application to the coupling between stock market indices and their Hölder exponents,

*Physica D: Nonlinear Phenomena*, 368, pp.1-9, ISSN: 0167-2789. DOI: 10.1016/j.physd.2017.11.011. Higham, JE, Brevis, W,

**Keylock, CJ**(Accepted for publication) Implications of the selection of a particular modal decomposition technique for the analysis of shallow flows,

*Journal of Hydraulic Research*, pp.1-10, ISSN: 0022-1686. DOI: 10.1080/00221686.2017.1419990. Higham, JE, Brevis, W,

**Keylock, CJ**, Safarzadeh, A (2017) Using modal decompositions to explain the sudden expansion of the mixing layer in the wake of a groyne in a shallow flow,

*Advances in Water Resources*, 107, pp.451-459, ISSN: 0309-1708. DOI: 10.1016/j.advwatres.2017.05.010.

**Keylock, CJ**(2017) Synthetic velocity gradient tensors and the identification of statistically significant aspects of the structure of turbulence,

*Physical Review Fluids*, 2(8), DOI: 10.1103/PhysRevFluids.2.084607.

**Keylock, CJ**(2017) Multifractal surrogate-data generation algorithm that preserves pointwise Hölder regularity structure, with initial applications to turbulence,

*Physical Review E*, 95(3), ISSN: 2470-0045. DOI: 10.1103/PhysRevE.95.032123. Higham, JE, Brevis, W,

**Keylock, CJ**(2016) A rapid non-iterative proper orthogonal decomposition based outlier detection and correction for PIV data,

*Measurement Science and Technology*, 27(12), ISSN: 0957-0233. DOI: 10.1088/0957-0233/27/12/125303.

**Keylock, CJ**, Chang, KS, Constantinescu, GS (2016) Large eddy simulation of the velocity-intermittency structure for flow over a field of symmetric dunes,

*Journal of Fluid Mechanics*, 805, pp.656-685, ISSN: 0022-1120. DOI: 10.1017/jfm.2016.519. Pitsch, H and

**Keylock, C**(2016) Obituary for Norbert Peters,

*Fluid Dynamics Research*, 48(2), pp.021001-021001, ISSN: 0169-5983. DOI: 10.1088/0169-5983/48/2/021001.

**Keylock, C**, Kida, S, Peters, N (2016) JSPS Supported Symposium on Interscale Transfers and Flow Topology in Equilibrium and Non-equilibrium Turbulence (Sheffield, UK, September 2014),

*Fluid Dynamics Research*, 48(2), pp.020001-020001, ISSN: 0169-5983. DOI: 10.1088/0169-5983/48/2/020001.

**Keylock, CJ**and Nishimura, K (2016) Wavelet phase analysis of two velocity components to infer the structure of interscale transfers in a turbulent boundary-layer,

*Fluid Dynamics Research*, 48(2), pp.021406-021406, ISSN: 0169-5983. DOI: 10.1088/0169-5983/48/2/021406.

**Keylock, CJ**, Ganapathasubramani, B, Monty, J, Hutchins, N, Marusic, I (2016) The coupling between inner and outer scales in a zero pressure boundary layer evaluated using a Hölder exponent framework,

*Fluid Dynamics Research*, 48(2), pp.021405-021405, ISSN: 0169-5983. DOI: 10.1088/0169-5983/48/2/021405.

**Keylock, CJ**(2015) Flow resistance in natural, turbulent channel flows: The need for a fluvial fluid mechanics,

*Water Resources Research*, 51(6), pp.4374-4390, ISSN: 0043-1397. DOI: 10.1002/2015WR016989.

**Keylock, CJ**, Stresing, R, Peinke, J (2015) Gradual wavelet reconstruction of the velocity increments for turbulent wakes,

*Physics of Fluids*, 27(2), pp.025104-025104, ISSN: 1070-6631. DOI: 10.1063/1.4907740.

**Keylock, CJ**(2014) Discussion of "Testing Stationarity with Wavelet-Based Surrogates" by Megan McCullough and Ahsan Kareem,

*JOURNAL OF ENGINEERING MECHANICS*, 140(4), UNSP 07014001, ISSN: 0733-9399. DOI: 10.1061/(ASCE)EM.1943-7889.0000698.

**Keylock, CJ**, Ash, M, Vriend, N, Brennan, PV, McEwaine, JN, Sovilla, B (2014) Looking inside an avalanche using a novel radar system,

*Geology Today*, 30(1), pp.21-25, ISSN: 0266-6979. DOI: 10.1111/gto.12033. Ash, M, Brennan, PV,

**Keylock, CJ**, Vriend, NM, McElwaine, JN, Sovilla, B (2014) Two-dimensional radar imaging of flowing avalanches,

*Cold Regions Science and Technology*, 102, pp.41-51, ISSN: 0165-232X. DOI: 10.1016/j.coldregions.2014.02.004.

**Keylock, CJ**(2014) Discussion of “Testing Stationarity with Wavelet-Based Surrogates” by Megan McCullough and Ahsan Kareem,

*Journal of Engineering Mechanics*, 140(4), pp.07014001-07014001, ISSN: 0733-9399. DOI: 10.1061/(ASCE)EM.1943-7889.0000698.

**Keylock, CJ**, Lane, SN, Richards, KS (2014) Quadrant/octant sequencing and the role of coherent structures in bed load sediment entrainment,

*Journal of Geophysical Research: Earth Surface*, 119(2), pp.264-286, ISSN: 2169-9003. DOI: 10.1002/2012JF002698.

**Keylock, CJ**, Singh, A, Foufoula-Georgiou, E (2014) The complexity of gravel bed river topography examined with gradual wavelet reconstruction,

*Journal of Geophysical Research: Earth Surface*, 119(3), pp.682-700, ISSN: 2169-9003. DOI: 10.1002/2013JF002999.

**Keylock, CJ**, Singh, A, Venditti, JG, Foufoula-Georgiou, E (2014) Robust classification for the joint velocity-intermittency structure of turbulent flow over fixed and mobile bedforms,

*Earth Surface Processes and Landforms*, 39(13), pp.1717-1728, ISSN: 0197-9337. DOI: 10.1002/esp.3550.

**Keylock, CJ**, Singh, A, Foufoula-Georgiou, E (2013) The influence of migrating bed forms on the velocity-intermittency structure of turbulent flow over a gravel bed,

*Geophysical Research Letters*, 40(7), pp.1351-1355, ISSN: 0094-8276. DOI: 10.1002/grl.50337. Eckert, N,

**Keylock, CJ**, Castebrunet, H, Lavigne, A, Naaim, M (2013) Temporal trends in avalanche activity in the French Alps and subregions: from occurrences and runout altitudes to unsteady return periods,

*Journal of Glaciology*, 59(213), pp.93-114, ISSN: 0022-1430. DOI: 10.3189/2013JoG12J091. Vriend, NM, McElwaine, JN, Sovilla, B,

**Keylock, CJ**, Ash, M, Brennan, PV (2013) High-resolution radar measurements of snow avalanches,

*Geophysical Research Letters*, 40(4), pp.727-731, ISSN: 0094-8276. DOI: 10.1002/grl.50134.

**Keylock, CJ**(2012) A resampling method for generating synthetic hydrological time series with preservation of cross-correlative structure and higher-order properties,

*Water Resources Research*, 48(12), ISSN: 0043-1397. DOI: 10.1029/2012WR011923.

**Keylock, CJ**, Constantinescu, G, Hardy, RJ (2012) The application of computational fluid dynamics to natural river channels: Eddy resolving versus mean flow approaches,

*Geomorphology*, 179, pp.1-20, ISSN: 0169-555X. DOI: 10.1016/j.geomorph.2012.09.006. Eckert, N,

**Keylock, CJ**, Bertrand, D, Parent, E, Faug, T, Favier, P, Naaim, M (2012) Quantitative risk and optimal design approaches in the snow avalanche field: Review and extensions,

*Cold Regions Science and Technology*, 79-80, pp.1-19, ISSN: 0165-232X. DOI: 10.1016/j.coldregions.2012.03.003.

**Keylock, CJ**, Nishimura, K, Nemoto, M, Ito, Y (2012) The flow structure in the wake of a fractal fence and the absence of an “inertial regime”,

*Environmental Fluid Mechanics*, 12(3), pp.227-250, ISSN: 1567-7419. DOI: 10.1007/s10652-011-9233-0.

**Keylock, CJ**, Nishimura, K, Peinke, J (2012) A classification scheme for turbulence based on the velocity-intermittency structure with an application to near-wall flow and with implications for bed load transport,

*Journal of Geophysical Research: Earth Surface*, 117(F1), pp.n/a-n/a, ISSN: 0148-0227. DOI: 10.1029/2011JF002127.

**Keylock, CJ**, Tokyay, TE, Constantinescu, G (2011) A method for characterising the sensitivity of turbulent flow fields to the structure of inlet turbulence,

*Journal of Turbulence*, 12, pp.N45-N45, DOI: 10.1080/14685248.2011.636047. Clifford, NJ and

**Keylock, CJ**(2010) Dedication,

*Progress in Physical Geography*, 34(3), pp.259-259, ISSN: 0309-1333. DOI: 10.1177/0309133310367547.

**Keylock, CJ**(2010) Introduction to special issue: The future of geomorphology,

*Progress in Physical Geography*, 34(3), pp.261-264, ISSN: 0309-1333. DOI: 10.1177/0309133310364932.

**Keylock, CJ**(2010) Characterizing the structure of nonlinear systems using gradual wavelet reconstruction,

*Nonlinear Processes in Geophysics*, 17(6), pp.615-632, DOI: 10.5194/npg-17-615-2010.

**Keylock, CJ**(2009) Evaluating the dimensionality and significance of “active periods” in turbulent environmental flows defined using Lipshitz/Hölder regularity,

*Environmental Fluid Mechanics*, 9(5), pp.509-523, ISSN: 1567-7419. DOI: 10.1007/s10652-009-9127-6.

**Keylock, CJ**(2008) A criterion for delimiting active periods within turbulent flows,

*Geophysical Research Letters*, 35(11), ISSN: 0094-8276. DOI: 10.1029/2008GL033858.

**Keylock, CJ**(2008) Improved preservation of autocorrelative structure in surrogate data using an initial wavelet step,

*Nonlinear Processes in Geophysics*, 15(3), pp.435-444, DOI: 10.5194/npg-15-435-2008.

**Keylock, CJ**(2007) Identifying linear and non-linear behaviour in reduced complexity modelling output using surrogate data methods,

*Geomorphology*, 90(3-4), pp.356-366, ISSN: 0169-555X. DOI: 10.1016/j.geomorph.2006.10.027.

**Keylock, CJ**(2007) Withering geomorphology,

*Earth Surface Processes and Landforms*, 32(5), pp.803-804, ISSN: 0197-9337. DOI: 10.1002/esp.1487.

**Keylock, CJ**(2007) The visualization of turbulence data using a wavelet-based method,

*Earth Surface Processes and Landforms*, 32(4), pp.637-647, ISSN: 0197-9337. DOI: 10.1002/esp.1423.

**Keylock, CJ**(2007) A wavelet-based method for surrogate data generation,

*Physica D: Nonlinear Phenomena*, 225(2), pp.219-228, ISSN: 0167-2789. DOI: 10.1016/j.physd.2006.10.012.

**Keylock, C**(2006) Erratum: 'Hazards resulting from earthquakes: A case study' (Geography Review vol. 19 (5) (14),

*Geography Review*, 20(1), p.31, ISSN: 0950-7035.

**Keylock, CJ**(2006) Reforming AS/A2 physical geography to enhance geographic scholarship,

*Geography*, 91(3), pp.272-279, ISSN: 0016-7487.

**Keylock, C**, Hirashima, H, Nishimura, K (2006) Hazards resulting from earthquakes: A case study,

*Geography Review*, 19(5), pp.10-15, ISSN: 0950-7035.

**Keylock, CJ**(2006) Constrained surrogate time series with preservation of the mean and variance structure,

*Physical Review E*, 73(3), ISSN: 1539-3755. DOI: 10.1103/PhysRevE.73.036707.

**Keylock, CJ**(2005) An alternative form for the statistical distribution of extreme avalanche runout distances,

*Cold Regions Science and Technology*, 42(3), pp.185-193, ISSN: 0165-232X. DOI: 10.1016/j.coldregions.2005.01.004.

**Keylock, CJ**(2005) Describing the recurrence interval of extreme floods using nonextensive thermodynamics and Tsallis statistics,

*Advances in Water Resources*, 28(8), pp.773-778, ISSN: 0309-1708. DOI: 10.1016/j.advwatres.2005.02.011.

**Keylock, CJ**, Hardy, RJ, Parsons, DR, Ferguson, RI, Lane, SN, Richards, KS (2005) The theoretical foundations and potential for large-eddy simulation (LES) in fluvial geomorphic and sedimentological research,

*Earth-Science Reviews*, 71(3-4), pp.271-304, ISSN: 0012-8252. DOI: 10.1016/j.earscirev.2005.03.001.

**Keylock, CJ**(2005) Simpson diversity and the Shannon-Wiener index as special cases of a generalized entropy,

*Oikos*, 109(1), pp.203-207, ISSN: 0030-1299. DOI: 10.1111/j.0030-1299.2005.13735.x.

**Keylock, CJ**and Dorling, D (2004) What kind of quantitative methods for what kind of geography?,

*Area*, 36(4), pp.358-366, ISSN: 0004-0894. DOI: 10.1111/j.0004-0894.2004.00237.x.

**Keylock, C**(2004) Reviewing the Hjulström curve,

*Geography Review*, 17(4), pp.16-20, ISSN: 0950-7035.

**Keylock, CJ**(2003) Mark Melton's geomorphology and geography's quantitative revolution,

*Transactions of the Institute of British Geographers*, 28(2), pp.142-157, ISSN: 0020-2754. DOI: 10.1111/1475-5661.00084.

**Keylock, CJ**(2003) The North Atlantic Oscillation and snow avalanching in Iceland,

*Geophysical Research Letters*, 30(5), pp.n/a-n/a, ISSN: 0094-8276. DOI: 10.1029/2002GL016272. Barbolini, M and

**Keylock, CJ**(2002) A new method for avalanche hazard mapping using a combination of statistical and deterministic models,

*Natural Hazards and Earth System Science*, 2(3/4), pp.239-245, DOI: 10.5194/nhess-2-239-2002.

**Keylock, CJ**and Barbolini, M (2001) Snow avalanche impact pressure - vulnerability relations for use in risk assessment,

*Canadian Geotechnical Journal*, 38(2), pp.227-238, ISSN: 0008-3674. DOI: 10.1139/t00-100. Barbolini, M, Gruber, U,

**Keylock, C**, Naaim, M, Savi, F (2000) Application of statistical and hydraulic-continuum dense-snow avalanche models to five real European sites,

*Cold Regions Science and Technology*, 31(2), pp.133-149, ISSN: 0165-232X. DOI: 10.1016/S0165-232X(00)00008-2.

**Keylock, C**and Domaas, U (1999) Evaluation of Topographic Models of Rockfall Travel Distance for Use in Hazard Applications,

*Arctic, Antarctic, and Alpine Research*, 31(3), pp.312-312, ISSN: 1523-0430. DOI: 10.2307/1552262.

**Keylock, C**, Tarhule, A, Woo, MK (1999) Towards an interpretation of historical droughts in Northern Nigeria: A comment on a paper by Aondover Tarhule and Ming-Ko Woo (multiple letters),

*Climatic Change*, 41(2), pp.259-262, ISSN: 0165-0009. DOI: 10.1023/A:1005435611894.

**Keylock, CJ**, Mcclung, DM, Magnússon, MM (1999) Avalanche risk mapping by simulation,

*Journal of Glaciology*, 45(150), pp.303-314, ISSN: 0022-1430. Harbitz, C, Issler, D,

**Keylock, C**(1998) Conclusions from a recent survey of avalanche computational models,

*Publikasjon - Norges Geotekniske Institutt*, (203), pp.128-135, ISSN: 0078-1193.

**Keylock, C**(1997) Snow avalanches,

*Progress in Physical Geography*, 21(4), pp.481-500, ISSN: 0309-1333. DOI: 10.1177/030913339702100401.

## Conferences

Ash, M, Tanha, MA, Brennan, PV, Kohlert, A, McElwaine, JN,**Keylock, CJ**(2015) Practical implementation of a 16-channel C-band phased array radar receiver. In , 2015 IEEE Radar Conference - Proceedings, pp.66-70, ISBN: 9781467396554. DOI: 10.1109/RadarConf.2015.7411856. Ash, M, Ardeshir Tanha, M, Brennan, PV, Kohler, A, McElwaine, JN,

**Keylock, CJ**(2014) Improving the sensitivity and phased array response of FMCW radar for imaging avalanches. In , 2014 International Radar Conference, Radar 2014,ISBN: 9781479941957. DOI: 10.1109/RADAR.2014.7060387. Ash, M, Brennan, PV, Vriend, NM, Mcelwaine, JN,

**Keylock, CJ**(2011) Two-dimensional FMCW radar imaging of entire avalanche events. In , 6th IASME/WSEAS Int. Conf. on Continuum Mechanics, CM'11, 6th IASME/WSEAS Int. Conf. on Water Resources, Hydraulics and Hydrology, WHH'11, 5th IASME/WSEAS Int. Conf. on Geology and Seismology, GES'11, pp.153-157, ISBN: 9789604742752. Ash, M, Brennan, PV, Vriend, NM, McElwaine, JN,

**Keylock, CJ**(2011) FMCW phased array radar for automatically triggered measurements of snow avalanches. In , European Microwave Week 2011: "Wave to the Future", EuMW 2011, Conference Proceedings - 8th European Radar Conference, EuRAD 2011, pp.166-169, ISBN: 9782874870217. Ash, M, Chetty, K, Brennan, P, McElwaine, J,

**Keylock, C**(2010) FMCW radar imaging of avalanche-like snow movements. In , IEEE National Radar Conference - Proceedings, pp.102-107, ISBN: 9781424458127. DOI: 10.1109/RADAR.2010.5494643. Brennan, PV, Ash, M, Isa, FM,

**Keylock, C**, Mcelwaine, J (2009) Advanced Radar Imaging of Geophysical Flows. In , GES'09: PROCEEDINGS OF THE 3RD IASME/WSEAS INTERNATIONAL CONFERENCE ON RECENT AD GEOLOGY AND SEISMOLOGY, pp.144-+, ISBN: 978-960-474-058-1.

## Chapters

**Keylock, CJ**(2011) Dynamics and complexity. In

*The SAGE Handbook of Geographical Knowledge*, pp.393-404, ISBN: 9781446201091. DOI: 10.4135/9781446201091.n30.

## Other

**Keylock, CJ**

*The turbulence velocity gradient tensor formed additively by normal and non-normal tensors*, We decompose the velocity gradient tensor for turbulence into normal and non-normal parts, and condition our analysis on the strain eigenvector alignments between these tensors. We identify states that always enhance, and always counteract the axisymmetric expansion state, and give a rationale for decomposing the production balance term into its constituents: complex behavior arises when the dominant strain alignments involve the non-normal tensor. Finally, we develop a topological analysis framework where mathematical bounds on two of the three variables leads to an analysis in two planes. Full text: http://dx.doi.org/10.1103/PhysRevFluids.2.084607. DOI: 10.1103/PhysRevFluids.2.084607.

**Keylock, CJ**

*A Schur decomposition reveals the richness of structure in homogeneous, isotropic turbulence as a consequence of localised shear*, An improved understanding of turbulence is essential for the effective modelling and control of industrial and geophysical processes. Homogeneous, isotropic turbulence (HIT) is the archetypal field for developing turbulence physics theory. Based on the Schur transform, we introduce an additive decomposition of the velocity gradient tensor into a normal part (containing the eigenvalues) and a non-normal or shear-related tensor. We re-interrogate some key properties of HIT and show that the the tendency of the flow to form disc-like structures is not a property of the normal tensor; it emerges from an interaction with the non-normality. Also, the alignment between the vorticity vector and the second eigenvector of the strain tensor is another consequence of local shear processes..

**Keylock, CJ**

*The velocity gradient tensor for homogeneous, isotropic turbulence (HIT), with explicit consideration of local and non-local effects using a Schur decomposition*, A Schur decomposition of the velocity gradient tensor (VGT) for homogeneous, isotropic turbulence (HIT) is undertaken and its physical consequences examined. This decomposition permits the normal parts of the tensor (represented by the eigenvalues) to be separated explicitly from the non-normal effects. Given the restricted {E}uler approximation to the VGT dynamics is written in terms of the isotropic part of the pressure Hessian and the invariants of the characteristic equation of the VGT (in turn expressed in terms of the eigenvalues), the non-normal terms are related to the non-local aspects of the dynamics and the anisotropic part of the pressure Hessian. Using a direct numerical simulation of HIT, we show that the norm of the non-normal part of the tensor is of a similar order to the normal part, highlighting the importance of non-local effects. In fact, beneath the discriminant function in a Q-R plot, all enstrophy arises from the non-normal term, meaning that vorticity and intermediate strain eigenvector alignment in this region is an immediate consequence of non-normality. A non-normal term appears in the expressions for both enstrophy and total strain and cancels when calculating the second invariant of the VGT, while the self-amplification of non-normality and the normal straining of non-normality appear in the strain production and enstrophy production equations and cancel when calculating the third invariant. However, these terms are significant for understanding the full VGT dynamics, explaining how flow structures evolve to a disc-like state despite the strain eigenvalues sometimes indicating opposite (rod-like) behaviour, as well as explaining vorticity and strain alignments in HIT..