Publications

Nicholas Kevlahan

McMaster University

Publications in refereed journals

  1. Kevlahan, NK-R and Poulin, F 2022 Energy Spectra and Vorticity Dynamics in a Two-Layer Shallow Water Ocean Model. J Phys Oceanogr 52, 2741-2759. doi.org/10.1175/JPO-D-21-0318.1

  2. Debreu, L., Kevlahan, N.K.-R. and Marchesiello, P. 2022  Improved Gulf Stream separation through Brinkman penalization. Ocean Model 179, 102121, doi.org/10.1016/j.ocemod.2022.102121

  3. Lauritzen, P. H., Kevlahan, N. K.-R., Toniazzo, T., Eldred, C., Dubos, T., Gassmann, A., et al. 2022 Reconciling and improving formulations for thermodynamics and conservation principles in Earth System Models (ESMs).  J Adv Model Earth Syst 14 e2022MS0031 https://doi.org/10.1029/2022MS003117

  4. Kevlahan, N.K-R. and Lemarié, F. 2022 WAVETRISK-2.1: an adaptive dynamical core for ocean modelling. Geosci. Model Dev. 15(17), 6521-6539, doi.org/10.5194/gmd-15-6521-2022

  5. Khan, R. and Kevlahan, N.K-R. 2022 Data assimilation for the two-dimensional shallow water equations: Optimal initial conditions for tsunami modelling. Ocean Model. 174, 102009, doi.org/10.1016/j.ocemod.2022.102009. 

  6. Khan, R. and Kevlahan, N.K-R. 2022 Variational Assimilation of Surface Wave Data for Bathymetry Reconstruction. Part II: Second Order Adjoint Sensitivity Analysis. Tellus A: Dynamic Meteorology and Oceanography, 74, 187-203, doi.org/10.16993/tellus.

  7. Khan, R. and Kevlahan, N.K.-R. 2021 Variational assimilation of surface wave data for bathymetry reconstruction. Part I: algorithm and test cases, Tellus A: Dynamic Meteorology and Oceanography, 73:1, 1-25, doi.org/10.1080/16000870.2021.1976907.

  8. Kevlahan, N.K.-R. 2021 Adaptive wavelet methods for Earth systems modelling.  Fluids 6 doi.org/10.3390/ fluids6070236.

  9. Panuelos, J., Wadsley, J. & Kevlahan, N.K.-R. 2020 Low shear diffusion central schemes for particle methods.  J. Comput. Phys. 414 109454.

  10. Debreu, L., Kevlahan, N.K.-R. & Marchesiello, P. 2020 Brinkman volume penalization for bathymetry in three-dimensional ocean models. Ocean Model. 145, 101530. doi.org/10.1016/j.ocemod.2019.101530

  11. Kevlahan, N.K.-R. Khan, R. & Protas, B. 2019 On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations. Adv Comput Math 45(5), 3195-3216 doi.org/10.1007/s10444-019-09733-6

  12. Kevlahan, N.K.R. & Dubos, T. 2019 WAVETRISK-1.0: an adaptive wavelet hydrostatic dynamical core. Geosci. Model Dev. 12, 4901–4921. doi.org/10.5194/gmd-12-4901-2019

  13. Ghasemi, A. and Kevlahan, N.K.-R. 2017 The role of Reynolds number in the fluid-elastic instability of tube arrays. J. Fluid Struct. 73, 16-36. doi:10.1016/j.jfluidstructs.2017.05.004

  14. Kevlahan, N.K.-R., Dubos, T. Aechtner, M. 2015 Adaptive wavelet simulation of global ocean dynamics using a new Brinkman volume penalization. Geosci. Model Dev. 8 3891-3909.  doi:10.5194/gmd-8-3891-2015

  15. Adalsteinsson, G. and Kevlahan, N.K.-R. 2015 Compressive sampling for energy spectrum estimation of turbulent flows. SIAM J. Sci. Comput. 37, B452-B472 doi:10.1137/140966216

  16. Behera, R., Mehra, M. and Kevlahan, N.K.-R. 2015 Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid. Adv. Comput. Math. 41(3), 663-689 doi:10.1007/s10444-014-9382-z

  17. Aechtner, M. Kevlahan, N.K-R. & Dubos, T. 2015 A conservative adaptive wavelet method for the shallow-water equations on the sphere. Q. J. R. Meteorol. Soc. 141(690), 1712-1726 doi:10.1002/qj.2473

  18. Pudritz, R.E. & Kevlahan, N.K.-R. 2013 Shock interactions, turbulence and the origin of the stellar mass spectrum. Phil. Trans. R. Soc.  A 371, 20120248 doi:10.1098/rsta.2012.0248

  19. Dubos, T. & Kevlahan, N.K.-R. 2013 A conservative adaptive wavelet method for the shallow-water equations on staggered grids. Q. J. R. Meteorol. Soc. 139, 1997-2020 doi:10.1002/qj.2097

  20. Alam, J., Kevlahan, N.K.-R., O.V. & Hossain, Z.  2012 A Multi-resolution model for the simulation of transient heat and mass transfer. Num. Heat Transfer, Part B: Fundamentals. 61, 1-24.

  21. Holdsworth, A.M., Kevlahan, N.K.-R. & Earn, D.J.D. 2012 Multifractal signatures of infectious diseases. J. R. Soc.: Interface 9, 2167-2180 doi:10.1098/rsif.2011.0886

  22. Kevlahan, N.K.-R. 2011 The role of vortex wake dynamics in the flow-induced vibration of tube arrays. J. Fluid Struct. 27, 829-837.

  23. Farazmand, M.M., Kevlahan, N.K.-R. & Protas, P. 2011 Controlling the dual cascade of two-dimensional turbulence. J. Fluid Mech. 668, 202-222.

  24. Kevlahan, N.K.-R. 2010 Vortices for computing: the engines of turbulence simulation. Theor. Comput. Fluid Dyn. 24, 241-245.

  25. Kevlahan, N. & Pudritz, R.E. 2009 Shock-generated vorticity in the interstellar medium and the origin of the stellar initial mass function. Astrophys J 702, 39-49.

  26. Mehra, M. & Kevlahan, N.K.-R. 2008  An adaptive multilevel wavelet solver for elliptic equations on an optimal geodesic spherical grid. SIAM J. Sci. Comput. 30, 3073-3086.

  27. Mehra, M. & Kevlahan, N.K.-R. 2008 An adaptive wavelet collocation method for the solution of partial differential equations on the sphere. J. Comput. Phys. 227, 5610-5632.

  28. Vasilyev, O.V., de Stefano, G., Goldstein, D. & Kevlahan, N.K.-R. 2008 Lagrangian dynamic SGS model for Stochastic Coherent Adaptive Large Eddy Simulation J. Turbulence 9, Art. No. N11.

  29. Kevlahan, N.K.-R. 2007 Three-dimensional Floquet stability analysis of the wake in cylinder arrays. J. Fluid Mech. 592, 79-88.

  30. Kevlahan, N.K.-R., Alam, J. & Vasilyev, O. V. 2007 Scaling of space-time modes with Reynolds number in two-dimensional turbulence J. Fluid Mech. 570, 217-226.

  31. Alam, J., Kevlahan, N.-K.-R. & Vasilyev, O.V. 2006 Simultaneous space-time adaptive wavelet solution of nonlinear partial differential equations. J. Comput. Phys 214, 829-857.

  32. Goldstein, D., Vasilyev, O.V. & Kevlahan, N.K.-R. 2005 CVS and SCALES simulation of 3-D isotropic turbulence. J. Turbulence 6 (37) (20 pp).

  33. Kevlahan, N.K.-R. 2005 Stochastic differential equation models of vortex merging and reconnection. Phys. Fluids. 17, 064107 (16 pp).

  34. Kevlahan, N.K.-R. & Wadsley, J. 2005 Suppression of three-dimensional flow instabilities in tube bundles. J. Fluid Struct. 20(4), 611-620.

  35. Kevlahan, N.K.-R. & Vasilyev, O.V. 2005 An adaptive wavelet collocation method for fluid-structure interaction at high Reynolds numbers. SIAM J. Sci. Comput. 26(6), 1894-1915.

  36. Vasilyev, O.V. & Kevlahan, N.K.-R. 2005 An adaptive multilevel wavelet collocation method for elliptic problems. J. Comput. Phys. 206, 412-431.

  37. Vasilyev, O.V. & Kevlahan, N.K.-R. 2002 Hybrid wavelet collocation-Brinkman penalization method for complex geometry flows. Int. J. Num. Meth. Fluids 30, 531-538.

  38. Dubrulle, B., Laval, J.-P. & Nazarenko, S. & Kevlahan, N. 2001 Derivation of equilibrium profiles in plane parallel flows from a dynamical subgrid Model. Phys. Fluids 13, 2045-2064.

  39. Kevlahan, N. K.-R. & Ghidaglia, J.-M. 2001 Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization. Eur. J. Mech. B 20, 333-350.

  40. Nazarenko, S. Kevlahan, N.-K.R. & Dubrulle, B. 2000 Nonlinear RDT theory of near-wall turbulence. Physica D 139, 158-176.

  41. Farge, M., Schneider, K. & Kevlahan, N. 1999 Non-Gaussianity and coherent vortex simulation for two-dimensional turbulence using an adaptive orthogonal wavelet basis. Phys. Fluids 11, 2187-2201.

  42. Nazarenko, S., Kevlahan, N. K.-R. & Dubrulle, B. 1999 WKB theory for rapid distortion of inhomogeneous turbulence, J. Fluid Mech. 390, 325-348.

  43. Protas, B., Babiano, A. & Kevlahan, N. K.-R. 1999 On geometrical alignment properties of two-dimensional forced turbulence. Physica  D 128, 169-179.

  44. Bonnet, J. P., Delville, J., Glauser, M. N., Antonia, R. A., Bisset, D. K., Cole, D. R., Fiedler, H. E., Garem, J. H., Hilberg, D., Jeong, J., Kevlahan, N. K.-R., Ukeiley, L. S. & Vincondeau, E. 1998 Collaborative testing of eddy structure identification methods in free turbulent shear flows. Experiments in Fluids 25, 197-22

  45. Petitjeans, P., Robres, J. H., Wesfreid, J. E. & Kevlahan, N. 1998 Experimental evidence for a new type of stretched vortex. Eur. J. Mech. B/Fluids 17, 549-560.

  46. Kevlahan, N. K.-R. & Farge, M. 1997 Vorticity filaments in two-dimensional turbulence: creation, stability and effect. J. Fluid Mech. 346, 49-76.

  47. Kevlahan, N. K.-R. 1997 The vorticity jump across a shock in a non-uniform flow. J. Fluid Mech. 341, 371-384.

  48. Kevlahan, N. K.-R. & Hunt, J. C. R. 1997 Nonlinear interactions in turbulence with strong irrotational straining. J. Fluid Mech. 337, 333-364.

  49. Schneider, K., Kevlahan, N. K.-R. & Farge, M. 1997 Comparison of an adaptive wavelet method and nonlinearly filtered pseudo-spectral methods for two-dimensional turbulence. Theoret. Comput. Fluid Dynamics 9, 191-206.

  50. Farge, M., Kevlahan, N., Perrier, V. & Goirand, E. 1996 Wavelets and turbulence. Proc. IEEE 84(4), 639-669.

  51. Kevlahan, N. K.-R. 1996 The propagation of weak shocks in non-uniform flows. J. Fluid Mech. 327, 161-197.

  52. Kevlahan, N. K.-R., Hunt, J. C. R. & Vassilicos, J. C. 1994 A comparison of different analytical techniques for identifying structures in turbulence. Appl. Sci. Res. 53, 339-355.

  53. Kevlahan, N. K.-R. & Vassilicos, J. C. 1994 The space and scale dependencies of the self-similar structure of turbulence. Proc. R. Soc. Lond. A. 447, 341-363.

  54. Kevlahan, N. 1993 Rapid distortion of turbulent structures. Appl. Sci. Res. 51, 411-415.

  55. Ahlborn, B., Kevlahan, N. & Lefrançois, M. 1991 Coherence energies of turbulent-flow Physics Essays 4(3), 406-416.

Publications in conference proceedings 

  1. Moazammi, H. Jamali, A., Kevlahan, N. & Vargas-Hernandez, R.A. 2025 Meta-Learning Fourier Neural Operators for Hessian Inversion and Enhanced Variational Data Assimilation. Machine Learning and the Physical Sciences Workshop (NeurIPS 2025). (6 pp, peer reviewed).

  2. Ghasempour, F., Andersson, R., Kevlahan, N.K.-R. & Andersson, B. 2011 Multidimensional turbulence spectra-identifying properties of turbulent structures.  J. Phys.: Conf. Ser.  318, 04022.

  3. Kevlahan, N.K.-R. 2005 Topology change of vortices using stochastic differential equations. In Proceedings of  third MIT conferences on computational fluid and solid mechanics (ed. K.J. Bathe), pp. 698-700. Elsevier.

  4. Goldstein, D., Vasilyev, O. & Kevlahan, N.K.-R. 2004 Adaptive LES of 3D decaying isotropic turbulence. In Studying turbulence using numerical simulation databases - X, Proceedings of the 2004 summer program. (ed. P. Moin, N. Mansour & P. Bradshaw), 14 pp. Stanford: CTR.

  5. Kevlahan, N.K.-R., Simon, J., Tonnet, N. & Wadsley, J. 2004 Suppression of 3D flow instabilities in tightly packed tube bundles.

  6. Goldstein, D.E., Vasilyev, O.V., and Kevlahan, N.K.-R. 2003 Feasibility Study of an Adaptive Large Eddy Simulation Method. 16th AIAA Computational Fluid Dynamics Conference Paper 2003-3551.

  7. Kevlahan, N., Vasilyev, O.V., Goldstein, D. & Jay, A. 2004 A three-dimensional adaptive wavelet method for fluid--structure interaction. In Direct and Large-Eddy Simulation V, (ed. B. J. Geurts, R. Friedrich & O. Métais). 147-154.Kluwer.

  8. Kevlahan, N. & Vasilyev, O. 2001 An adaptive wavelet method for fluid-structure interaction. In Direct and Large-Eddy Simulation Workshop 4: University of Twente, (ed. B. J. Geurts, R. Friedrich & O. Métais), 142-145.

  9. Vasilyev, O. & Kevlahan, N. K.-R. 2001 Hybrid wavelet collocation - Brinkman penalization method for complex geometry flows. In 7th ICFD Conference 2001 Proceedings, Oxford - March 26-29 (ed. M.J. Baines), 509-515.

  10. Kevlahan, N. K.-R., Vasilyev, O. & Cherhabili, A. 2000 An adaptive wavelet method for turbulence in complex geometries. In 16th Imacs World Congress 2000, Proceedings, Lausanne - August 21-25, 2000, (ed. Michel Deville & Robert Owens), published by IMACS, 411-39.

  11. Nazarenko, S.V., Kevlahan, N. K.-R. & Dubrulle, B. 2000 Nonlinear RDT theory of near wall turbulence. In Advances in Turbulence VIII, Proceedings of the Eighth European Turbulence Conference, Barcelona, Spain, 2000-06-27 - 2000-06-30, (ed. C. Dopazo), 629-632.

  12. Cherhabili, A. & Kevlahan, N. K.-R. 2000 Computation of turbulent flow around periodic obstacles using a Krylov-spectral method based on Brinkman penalization. In Advances in Turbulence VIII, Proceedings of the Eigth European Turbulence Conference, Barcelona, Spain, 2000-06-27 - 2000-06-30, (ed. C. Dopazo), 997.

  13. Kevlahan, N. K.-R. 1999 Flow through cylinder arrays calculated using d'Arcy penalisation. In Proceedings of 17th Canadian Congress of Applied Mechanics CANCAM 99 (ed. S. Ziada & D. S. Weaver), 101-102.

  14. Farge, M., Kevlahan, N., Bardos, C. & Schneider, K. 1998 Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls. In Monte Verita Lectures on Turbulence (ed. A. Gyr & A. Tsinober). Birkhauser.

  15. Farge, M., Schneider, K. & Kevlahan, N. K.-R. 1998 Coherent structure eduction in wavelet-forced two-dimensional turbulent flows. In Proceedings of IUTAM symposium on dynamics of slender vortices, Aachen (ed. E. Kause), pp. 65-83. Kluwer.

  16. Koster, F., Griebel, M., Kevlahan, N. K.-R., Farge, M. & Schneider, K. 1998 Towards an adaptive wavelet-based 3D Navier-Stokes solver. In Numerical Flow Simulation I

  17. Schneider, K., Kevlahan, N. K.-R. & Farge, M. 1998 An adaptive wavelet method compared to non-linearly filtered pseudo-spectral methods for two-dimensional turbulence. In Advances in Turbulence VII (ed. U. Frisch), pp. 147-150.

  18. Kevlahan, N. K.-R. & Hunt, J. C. R. 1996 Nonlinear interactions in turbulence with strong irrotational straining. In Advances in Turbulence VI (ed. S. Gavrilakis, L. Machiels & P. A. Monkewitz), pp. 239-242. Dordrecht: Kluwer.

  19. Hunt, J. C. R., Kevlahan, N. K.-R., & Vassilicos, J. C. 1994 Turbulence: a state of nature or a collection of phenomena? In Progress in turbulence research, (ed. H. Branover & Y. Unger), pp. 1-18. Washington: American Institute of Aeronautics and Astronautics, Inc.

  20. Hunt, J. C. R. & Kevlahan, N. K.-R. 1993 Rapid distortion theory and the structure of turbulence. In Proceedings of the Monte Veritá colloquium on turbulence (ed. T. Dracos & A. Tsinober) Basel: Birkhauser.

  21. Kevlahan, N. K.-R., Hunt, J. C. R. & Vassilicos, J. C. 1993 A comparison of different analytical techniques for identifying structure in turbulence. In Eddy Structure identification in free turbulent shear flows, (ed. M. N. Glauser & J.-P. Bonnet), pp. 311-324. Dordrecht: Kluwer.

  22. Hunt, J. C. R., Kevlahan, N., Vassilicos, J. C. & Farge, M. 1993 Wavelets, fractals and Fourier transforms: detection and analysis of structure. In Wavelets, fractals and Fourier transforms, (ed. M. Farge, J. C. R. Hunt & J. C. Vassilicos), pp. 1-38. Oxford: Clarendon Press.

  23. Kevlahan, N., Krishnan, M., Lee, S. 1992 Evolution of the shock front and turbulence structures in the shock/turbulence interaction. In Studying turbulence using numerical simulation databases - IV, Proceedings of the 1992 summer program. (ed. P. Moin, W. Reynolds & J. Kim), pp. 277-292. Stanford: CTR. (ed. E. H. Hirschel), pp. 339-363. Vieweg.

Contributions to books 

1.     Kevlahan, N.K.-R. 2005 Geometric, Stochastic and Algebraic Vortices. In Vortex Dominated Flows and Related Fields: a
volume celebrating Lu Ting's eightieth birthday (ed. D. Blackmore), pp. 99-115. New Jersey: World Scientific.

2.     Schneider, K., Farge, M.  & Kevlahan, N. K.-R. 2004 Spatial intermitency in turbulence: a wavelet approach. In Woods Hole Mathematics: Perspectives in Mathematics and Physics. (eds. N. Tongring and R.C. Penner). World Scientific.

3.     Farge, M., Kevlahan, N. K.-R., Perrier, V. & Schneider, K. 1999 Turbulence analysis, modelling and computing using wavelets. In Wavelets and Physics. (ed. H. van den Berg). Cambridge University Press.

 

Updated 2025-10-17