Wind Flow Over Complex Terrain: A Historical Perspective and the Prospect for Large-Eddy Modelling

The development of our understanding of turbulent flow overcomplex terrain is described. Despite considerable advances, there are still gaps in our knowledge. Large-eddy simulation of such flows is now becoming possible. This may stimulate further advances but it is computationally very demanding. The application of this technique to flow over hills is discussed.

[1]  F. Bretherton The propagation of groups of internal gravity waves in a shear flow , 1966 .

[2]  K. Squires,et al.  Numerical investigation of the turbulent boundary layer over a bump , 1998, Journal of Fluid Mechanics.

[3]  The effective roughness length for scalar transfer in neutral conditions over hilly terrain , 1998 .

[4]  Peter A. Taylor,et al.  A mixed spectral finite-difference model for neutrally stratified boundary-layer flow over roughness changes and topography , 1987 .

[5]  Paul Queney,et al.  The Problem of Air Flow Over Mountains: A Summary of Theoretical Studies , 1948 .

[6]  P. J. Mason,et al.  On the parameterization of drag over small-scale topography in neutrally-stratified boundary-layer flow , 1989 .

[7]  D. Fowler,et al.  Field measurements of wet deposition in an extended region of complex topography , 1990 .

[8]  F. Fiedler,et al.  Flow over an embankment: Speed-up and pressure perturbation , 1993 .

[9]  M. Wilkinson,et al.  Waves in the lee of an isolated hill , 1956 .

[10]  E. F. Bradley,et al.  Measurements of flow over an elongated ridge and its thermal stability dependence: The mean field , 1994 .

[11]  E. F. Bradley An experimental study of the profiles of wind speed, shearing stress and turbulence at the crest of a large hill , 1980 .

[12]  Peter A. Taylor,et al.  Development of a non-linear mixed spectral finite difference model for turbulent boundary-layer flow over topography , 1994 .

[13]  P. Baines,et al.  Topographic Effects in Stratified Flows , 1995 .

[14]  R. Scorer Airflow over an isolated hill , 1956 .

[15]  J. Padro Boundary-layer pollutant concentrations over complex terrain , 1987 .

[16]  J. G. Charney,et al.  A Numerical Method for Predicting the Perturbations of the Middle Latitude Westerlies , 1949 .

[17]  R. Scorer Theory of airflow over mountains: IV-separation of flow from the surface , 1955 .

[18]  Erik Lundtang Petersen,et al.  The European Wind Atlas , 1985 .

[19]  M. Kitchen,et al.  Orographic rainfall over low hills and associated corrections to radar measurements , 1992 .

[20]  D. Thomson,et al.  Stochastic backscatter in large-eddy simulations of boundary layers , 1992, Journal of Fluid Mechanics.

[21]  R. S. Scorer,et al.  Theory of waves in the lee of mountains , 1949 .

[22]  U. Schumann,et al.  Numerical simulation of turbulent convection over wavy terrain , 1992, Journal of Fluid Mechanics.

[23]  Nigel Wood,et al.  The onset of separation in neutral, turbulent flow over hills , 1995 .

[24]  The influence of thermal stability and angle of incidence on the acceleration of wind up a slope , 1983 .

[25]  P. A. Taylor,et al.  Some numerical studies of surface boundary-layer flow above gentle topography , 1977 .

[26]  J. Walmsley,et al.  A simple model of neutrally stratified boundary-layer flow over complex terrain with surface roughness modulations (MS3DJH/3R) , 1986 .

[27]  S. Belcher,et al.  The drag on an undulating surface induced by the flow of a turbulent boundary layer , 1993, Journal of Fluid Mechanics.

[28]  G. A. Corby A preliminary study of atmospheric waves using radiosonde data , 1957 .

[29]  P. Taylor Numerical studies of neutrally stratified planetary boundary-layer flow above gentle topography , 1977 .

[30]  A. Townsend The Structure of Turbulent Shear Flow , 1975 .

[31]  A. P. Siebesma,et al.  Evaluation of Parametric Assumptions for Shallow Cumulus Convection , 1995 .

[32]  John L. Lumley,et al.  The structure of atmospheric turbulence , 1964 .

[33]  Ulrich Schumanndlr Large‐eddy simulation of the up‐slope boundary layer , 1990 .

[34]  A. Brown,et al.  Large‐eddy simulations of neutrally stratified flow over surfaces with spatially varying roughness length , 1999 .

[35]  J. S. Sawyer Numerical calculation of the displacements of a stratified airstream crossing a ridge of small height , 1960 .

[36]  Jacob Padro,et al.  A mixed spectral finite-difference model for pollutant concentrations over a hill , 1990 .

[37]  R. I. Sykes,et al.  An asymptotic theory of incompressible turbulent boundarylayer flow over a small hump , 1980, Journal of Fluid Mechanics.

[38]  D. Thomson,et al.  Large‐Eddy simulations of the neutral‐static‐stability planetary boundary layer , 1987 .

[39]  P. Gent,et al.  A model of atmospheric boundary-layer flow above an isolated two-dimensional ‘hill’; an example of flow above ‘gentle topography’ , 1974 .

[40]  Modelling stably stratified boundary‐layer flow over low hills , 1997 .

[41]  M. Raupach,et al.  Temperature and humidity fields and fluxes over low hills , 1992 .

[42]  P. Mason Large‐eddy simulation: A critical review of the technique , 1994 .

[43]  R. Sharman,et al.  Atmospheric Lee Waves , 1996 .

[44]  R. Scorer,et al.  Theory of mountain waves of large amplitude , 1959 .

[45]  Peter A. Taylor,et al.  A non-linear extension of the mixed spectral finite difference model for neutrally stratified turbulent flow over topography , 1992 .

[46]  Norman A. Phillips,et al.  The general circulation of the atmosphere: A numerical experiment , 1956 .

[47]  J. Hunt,et al.  Turbulent shear flows over low hills , 1988 .

[48]  R. Scorer Theory of airflow over mountains: II ‐ The flow over a ridge , 1953 .

[49]  P. Mason,et al.  Atmospheric flow over a succession of nearly two‐dimensional ridges and valleys , 1984 .

[50]  Ulrich Schumann,et al.  Coherent structure of the convective boundary layer derived from large-eddy simulations , 1989, Journal of Fluid Mechanics.

[51]  B. Launder,et al.  On the elimination of wall‐topography parameters from second‐moment closure , 1994 .

[52]  H. Frank A simple spectral model for the modification of turbulence in flow over gentle hills , 1996 .

[53]  N. Wood,et al.  The Pressure force induced by neutral, turbulent flow over hills , 1993 .

[54]  E. F. Bradley,et al.  A wind tunnel study of turbulent flow over a two-dimensional ridge , 1990 .

[55]  P. Taylor,et al.  The Askervein Hill project: Overview and background data , 1987 .

[56]  J. Hunt,et al.  Stably stratified shear flow over low hills , 1988 .

[57]  S. Belcher,et al.  Form and wave drag due to stably stratified turbulent flow over low ridges , 1996 .

[58]  E. F. Bradley,et al.  Boundary-layer flow over low hills , 1987 .

[59]  B. Launder,et al.  Progress in the development of a Reynolds-stress turbulence closure , 1975, Journal of Fluid Mechanics.

[60]  Q. Zou A viscoelastic model for turbulent flow over undulating topography , 1998, Journal of Fluid Mechanics.

[61]  F. Bretherton Momentum transport by gravity waves , 1969 .

[62]  W. Weng Stably Stratified Boundary-Layer Flow Over Low Hills: A Comparison of Model Results and Field Data , 1997 .

[63]  Michael R. Raupach,et al.  The influence of topography on meteorogical variables and surface-atmosphere interactions , 1997 .

[64]  U. Schumann,et al.  Numerical simulation of turbulent convective flow over wavy terrain , 1993 .

[65]  P. J. Mason,et al.  Trailing vortices in the wakes of surface-mounted obstacles , 1987, Journal of Fluid Mechanics.

[66]  J. Hobson,et al.  Trailing Vortices In Flow Around Smoothly Shaped Obstacles , 1997 .

[67]  C. E. Wallington,et al.  A numerical study of the wavelength and amplitude of lee waves , 1958 .

[68]  A. Foldvik Two‐dimensional mountain waves – a method for the rapid computation of lee wavelengths and vertical velocities , 1962 .

[69]  J. Frenkiel Wind profiles over hills (in relation to wind‐power utilization) , 1962 .

[70]  S. Milton,et al.  The Impact of Parameterized Subgrid-Scale Orographic Forcing on Systematic Errors in a Global NWP Model , 1996 .

[71]  D. S. Henn,et al.  Large-eddy simulation of flow over wavy surfaces , 1999, Journal of Fluid Mechanics.

[72]  P. J. Mason,et al.  Flow over an isolated hill of moderate slope , 1979 .

[73]  Stephen E. Belcher,et al.  TURBULENT FLOW OVER HILLS AND WAVES , 1998 .

[74]  P. Mason,et al.  Large-Eddy Simulation of the Convective Atmospheric Boundary Layer , 1989 .

[75]  A. Andren The structure of stably stratified atmospheric boundary layers: A large-eddy simulation study , 1995 .

[76]  James R. Salmon,et al.  A simple model of neutrally stratified boundary-layer flow over real terrain incorporating wavenumber-dependent scaling , 1983 .

[77]  J. Finnigan,et al.  Atmospheric Boundary Layer Flows: Their Structure and Measurement , 1994 .

[78]  P. Mason,et al.  Observations of boundary-layer structure over complex terrain , 1990 .

[79]  Frank T. Smith,et al.  Laminar flow over a small hump on a flat plate , 1973, Journal of Fluid Mechanics.

[80]  P. Gent,et al.  Some Numerical Solutions for Turbulent Boundary-Layer Flow above Fixed, Rough, Wavy Surfaces , 1976 .

[81]  P. J. Mason,et al.  Large‐eddy simulation of stable atmospheric boundary layers with a revised stochastic subgrid model , 1994 .

[82]  G. A. Corby THE AIRFLOW OVER MOUNTAINS. A review of the state of current knowledge , 1954 .

[83]  J. S. Sawyer Gravity waves in the atmosphere as a three‐dimensional problem , 1962 .

[84]  Rex Britter,et al.  Air flow over a two-dimensional hill: studies of velocity speed-up, roughness effects and turbulence , 1981 .

[85]  P. J. Mason,et al.  Flow over the summit of an isolated hill , 1986 .

[86]  W. Gong,et al.  Turbulent boundary-layer flow over fixed aerodynamically rough two-dimensional sinusoidal waves , 1996, Journal of Fluid Mechanics.

[87]  Francesco Tampieri Separation features of boundary-layer flow over valleys , 1987 .

[88]  R. Banta,et al.  Atmospheric processes over complex terrain , 1990 .

[89]  The Effect of Orography on Evaporation , 1998 .

[90]  A. Lock The parametrization of entrainment in cloudy boundary layers , 1998 .

[91]  J. Hunt,et al.  Turbulent wind flow over a low hill , 1975 .

[92]  P. Taylor,et al.  The Kettles Hill Project: Field observations, wind-tunnel simulations and numerical model predictions for flow over a low hill , 1988 .

[93]  T. Choularton,et al.  A Three‐Dimensional Model of Airflow and Orographic Rainfall Enhancement , 1992 .

[94]  T. Clark A small-scale dynamic model using a terrain-following coordinate transformation , 1977 .

[95]  A. Beljaars,et al.  On the inner-layer scale height of boundary-layer flow over low hills , 1989 .

[96]  J. S. Sawyer The introduction of the effects of topography into methods of numerical forecasting , 1959 .

[97]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[98]  R. Banta The Role of Mountain Flows in Making Clouds , 1990 .