Leslie Smith

Leslie M. Smith

Department of Mathematics &
Department of Engineering Physics
825 Van Vleck Hall
480 Lincoln Drive
Madison, WI 53706-1388
Telephone: (608) 263-3057, Dept Fax: (608) 263-8891
E-mail: lsmith@math.wisc.edu

CV

AMEP advising by appointment

Research Areas

Nonlinear dynamics; dispersive wave systems; analysis, modeling and numerical computations of fluid dynamical systems with applications in atmosphere/ocean/climate sciences and engineering.

Publications

2020 -- 2021

  • Hernandez-Duenas, G., Lelong, P. & Smith, L. M. 2021 Wave and Vortical Mode Contributions to Tracer Dispersion in Ocean Sub-mesoscales, to appear in the Journal of Physical Oceanography.

  • Zhang, Y., Smith, L.M. & Stechmann, S. 2021 Convergence to Precipitating Quasi-geostrophic Equations with Phase Changes: Asymptotics and Numerical Assessment, submitted to Philosophical Transactions A.

  • Zhang, Y., Smith, L.M. & Stechmann, S. 2021 Effects of Clouds and Phase Changes on Fast-Wave Averaging: A Numerical Assessment, Journal of Fluid Mechanics 920.

  • Zhang, Y., Smith, L.M. & Stechmann, S. 2021 Fast-Wave Averaging with Phase Changes: Application to Moist Atmospheric Dynamics, Journal of Nonlinear Science 31.

  • Kooloth, P., Smith, L. M. & Sondak, D. 2021 Coherent Solutions and Transition to Turbulence in Two-Dimensional Rayleigh-Benard Convection, Physical Review Fluids 6, 013501, arXiv:2006.14132.

  • Hu, R., Edwards, T., Smith, L.M. & Stechmann, S. 2021 Initial Investigations of Precipitating Quasi-Geostrophic Turbulence with Phase Changes, Research in Mathematics 8, https://doi.org/10.1007/s40687-020-00242-3.

  • Wetzel, A., Smith, L.M., Stechmann, S., Martin, J. & Zhang, Y. 2020 Potential Vorticity and Balanced and Unbalanced Moisture, Journal of the Atmospheric Sciences 77, 1913-1931.

  • Tran, M.-B., Craciun, G., Smith, L. M. & Boldyrev, S. 2020 A reaction network approach to the theory of acoustic wave turbulence, Journal of Differential Equations 269, 4332-4352.

  • Edwards, T., Smith, L.M. & Stechmann, S. 2020 Atmospheric Rivers and Water Fluxes in Precipitating Quasi-geostrophic Turbulence, Quarterly Journal of the Royal Meteorological Society 146, 1960-1975.

  • Edwards, T., Smith, L.M. & Stechmann, S. 2020 Spectra of Atmospheric Water in Precipitating Quasi-Geostrophic Equations, Geophys. Astrophys. Fluid Dyn., DOI: 10.1080/03091929.2019.1692205.

  • Gamba, I., Smith, L.M. & Tran, M.-B. 2020 On the Wave Turbulence Theory for Stratified Flows in the Ocean, Mathematical Models and Methods in Applied Sciences 30, 105--137, arXiv:1709.08266

    2010 -- 2019

  • Marsico, D., Smith, L.M. & Stechmann, S. 2019 Energy Decompositions for Moist Boussinesq and Anelastic Equations with Phase Changes, Journal of the Atmospheric Sciences 76, 3569--3587.

  • Wetzel, A., Smith, L.M., Stechmann, S. & Martin, J. 2019 Balanced and Unbalanced Components of Moist Atmospheric Flows with Phase Changes, Chinese Annals of Mathematics Series B 40, 1005--1038.

  • Hernandez-Duenas, G., Smith, L.M. & Stechmann, S. 2019 Weak- and Strong-Friction Limits of Parcel Models: Comparisons and Stochastic Convective Initiation Time, Quarterly Journal of the Royal Meteorological Society 145, https://doi.org/10.1002/qj.3557

  • Wetzel, A., Smith, L.M. & Stechmann, S. 2019 Discontinuous Fronts as Exact Solutions to Precipitating Quasi-Geostrophic Equations, SIAM J. Applied Mathematics 79, DOI: 10.1137/18M119478X

  • Smith, L.M. & Stechmann, S. 2017 Precipitating Quasi-Geostrophic Equations and Potential Vorticity Inversion with Phase Changes, J. Atmos. Sci. 74, 3285-3303.

  • Wetzel, A., Smith, L.M. & Stechmann, S. 2017 Moisture Transport in Baroclinic Waves: Linear Analysis of Quasi-Geostrophic Dynamics,Mathematics of Climate and Weather Forecasting 3, 287-50.

  • Sondak, D., Smith, L.M. & Waleffe, F. 2015 Optimal Heat Transport in Rayleigh-Benard Convection, J. Fluid Mech. 784, 565-595.

  • Hernandez-Duenas, G., Smith, L.M. & Stechmann, S. 2015 Stability and Instability Criteria for Idealized Precipitating Hydrodynamics, J. Atmos. Sci. 72, 2379-2393.

  • Waleffe, F., Boonkasame, A. & Smith, L.M. 2015 Heat Transport by Coherent Rayleigh-Benard Convection, Phys. Fluids 27, 051702.

  • Hernandez-Duenas, G., Smith, L.M. & Stechmann, S. 2014 Investigation of Boussinesq Dynamics Using Intermediate Models Based on Wave-Vortical Interactions, J. Fluid Mech. 717, 576-611.

  • Kurien, S. & Smith, L.M. 2014 Effect of Rotation and Domain Aspect-Ratio on Layer Formation in Strongly Stratified Boussinesq Flows, The Journal of Turbulence 15, 241-271.

  • Remmel, R., Sukhatme, J. & Smith, L.M. 2014 Nonlinear Gravity Wave Interactions in Stratified Turbulence, Theoret. Comput. Fluid Dyn. 28, 131-145.

  • Hernandez-Duenas, G., Majda, A., Smith, L.M. & Stechmann, S. 2013 Minimal Models for Precipitating, Turbulent Convection, J. Fluid Mech. 717, 576 - 611.

  • Sukhatme, J., Majda, A. & Smith, L.M. 2012 Two-Dimensional Moist Stratified Turbulence, Phys. Fluids 34, 036602.

  • Deng, Q., Smith, L.M. & Majda, A.J. 2012 Tropical Cyclogenesis and Vertical Shear in a Moist Boussinesq Model, J. Fluid Mech. 706, 384-412.

  • Kurien, S. & Smith, L.M. 2011 Asymptotics of Unit Burger Number Rotating and Stratified Flows for Small Aspect Ratio, Physica D 241, 149 - 163.

  • Remmel, M., Sukhatme, J. & Smith, L.M. 2010 Nonlinear Inertia-Gravity Wave-Mode Interactions in Three Dimensional Rotating Stratified Flows, Communications in Mathematical Sciences 8, 357 - 376.

  • Liu, W., Bretherton, F., Liu, Z., Smith, L.M., Lu, H. & Rutland, C.J. 2010 Breaking of progressive internal gravity waves: Convective instability and shear instability, Journal of Physical Oceanography, doi: 10.1175/2010JPO4432.1

    2000 -- 2009

  • Sukhatme, J. & Smith, L.M. 2009 Local and Nonlocal Dispersive Turbulence, Phys. Fluids 21, 056603.

  • Remmel, M. & Smith, L.M. 2009 New Intermediate Models for Rotating Shallow Water and an Investigation of the Preference for Anticyclones, J. Fluid Mech. 635, 321-359.

  • Lu, H., Rutland, C.J. & Smith, L.M. 2008 A Posteriori Tests of One-Equation LES Modeling of Rotating Turbulence, International Journal of Modern Physics C 19, 1949-1964.

  • Sukhatme, J. & Smith, L.M. 2008 Effects of Dispersion on Vortical and Wave Modes in 3D Rotating Stratfied Flows: Large-Scale Forcing, Geophysical and Astrophysical Fluid Dynamics 102, 437-455.

  • Lu, H., Rutland, C.J. & Smith, L.M. 2007 A-Priori Tests of One-Equation LES Modeling of Rotating Turbulence, Journal of Turbulence 8, N 37.

  • Sukhatme, J. & Smith, L.M. 2007 Self-Similarity in Decaying Two-Dimensional Stably Stratified Adjustment, Phys. Fluids 19, 036603.

  • Smith, L.M. & Lee, Y. 2007 A Mechanism for the Formation of Geophysical and Planetary Zonal Flows, J. Fluid Mech. 576, 405-424.

  • Kurien, S., Smith, L.M. & Wingate, B. 2006 On the Two-Point Correlation of Potential Vorticity in Rotating and Stratified Turbulence, J. Fluid Mech.555, 131-140.

  • Smith, L.M. & Lee, Y. 2005 On Near-Resonances and Symmetry Breaking in Forced Rotating Flows at Moderate Rossby Number, J. Fluid Mech. 535, 111-142.

  • Lee, Y. & Smith, L.M. 2003 Stability of Rossby Waves in the beta-Plane Approximation, Physica D 179, 53-91.

  • Smith, L.M. & Waleffe, F. 2002 Generation of Slow, Large Scales in Forced, Rotating, Stratified Turbulence, J. Fluid Mech. 451, 145-168.

    1989 -- 1999

  • Smith, L.M. & Waleffe, F. 1999 Transfer of Energy to 2D Large Scales in Forced, Rotating 3D Turbulence, Phys. Fluids 11, 1608-1622.

  • Smith, L.M. & Woodruff, S.L. 1998 Renormalization Group Methods in Turbulence, Annual Reviews of Fluid Mechanics 30, 275.

  • Smith, L.M. & Yakhot, V. 1997 The Onset of Intermittency in Two-Dimensional Decaying Turbulence, Phys. Rev. E. 55, 5458.

  • Smith, L.M., Chasnov, J. & Waleffe, F. 1996 The Crossover From Two- to Three-Dimensional Turbulence, Phys. Rev. Lett. 77, 2467.

  • Sirovich, L., Smith, L.M. & Yakhot, V. 1995 Energy Spectrum of Homogeneous and Isotropic Turbulence in Far Dissipation Range, Phys. Rev. Lett. 72, 344.

  • Smith, L.M. & Yakhot, V. 1994 Finite-Size Effects in Forced Two-Dimensional Turbulence, J. Fluid Mech. 274, 115.

  • Salmon, R. & Smith, L.M. 1994 Hamiltonian derivation of the nonhydrostatic pressure-coordinate model, Q. J. R. Meteorol. Soc. 120, 1409.

  • Smith, L.M. & Yakhot, V. 1993 Bose Condensation and Small-Scale Structure Generation in a Random Force Driven 2D Turbulence, Phys. Rev. Lett. 71, 352.

  • Smith, L.M. & Yakhot, V. 1993 Short and long-time behavior of eddy-viscosity models, Theor. and Comput. Fluid Dynamics 4, 197.

  • Yakhot, V. & Smith, L.M. 1992 The renormalization group, the epsilon-expansion, and derivation of turbulence models, J. Sci. Comput. 3, 35.

  • Smith, L.M. & Reynolds, W.C. 1992 On the Yakhot-Orszag renormalization group method for deriving turbulence statistics and models, Phys. Fluids A 2, 362.

  • Smith, L.M. & Reynolds, W.C. 1991 The dissipation-range spectrum and the velocity-derivative skewness in turbulent flows, Phys. Fluids A 3, 992.

  • Smith, L.M. 1991 Turbulent Couette flow profiles that maximize the efficiency function, J. Fluid Mech. 227, 509.

  • Malkus, W.V.R. & Smith, L.M. 1989 Upper bounds on functions of the dissipation rate in turbulent shear flow,J. Fluid Mech. 208, 497.