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On the nature of turbulent kinetic energy in a steep and narrow Alpine valley

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Abstract

This contribution investigates the nature of turbulent kinetic energy (TKE) in a steep and narrow Alpine valley under fair-weather summertime conditions. The Riviera Valley in southern Switzerland was chosen for a detailed case study, in which the evaluation of aircraft data (obtained from the MAP-Riviera field campaign) is combined with the application of high-resolution (350-m horizontal grid spacing) large-eddy simulations using the numerical model ARPS. The simulations verify what has already been observed on the basis of measurements: TKE profiles scale surprisingly well if the convective velocity scale w * is obtained from the sun-exposed eastern slope rather than from the surface directly beneath the profiles considered. ARPS is then used to evaluate the TKE-budget equation, showing that, despite sunny conditions, wind shear is the dominant production mechanism. Therefore, the surface heat flux (and thus w *) on the eastern slope does not determine the TKE evolution directly but rather, as we believe, indirectly via the interaction of thermally-driven cross-valley and along-valley flows. Excellent correlation between w * and the up-valley wind speed solidifies this hypothesis.

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References

  • Attié J-L, Druilhet A, Bénech B, Durand P (1999) Turbulence on the lee side of a mountain range: Aircraft observations during PYREX. Quart J Roy Meteorol Soc 125:1359–1381

    Article  Google Scholar 

  • Barry RG (1992) Mountain weather and climate, 2nd edn. Routledge, London and New York, 402 pp

    Google Scholar 

  • Brinkop S, Roeckner E (1995) Sensitivity of a general circulation model to parameterizations of cloud-turbulence interactions in the atmospheric boundary layer. Tellus 47A:197–220

    Google Scholar 

  • Chow FK, Street RL, Xue M, Ferziger JH (2005) Explicit filtering and reconstruction turbulence modeling for large-eddy simulation of neutral boundary layer flow. J Atmos Sci 62:2058–2077

    Article  Google Scholar 

  • Chow FK, Weigel AP, Street RL, Rotach MW, Xue M (2006) High-resolution large-eddy simulations of flow in a steep alpine valley. Part I: methodology, verification and sensitivity studies. J Appl Meteorol Climatol 45:63–86

    Article  Google Scholar 

  • Coppin PA, Bradley EF, Finnigan JJ (1994) Measurements of flow over an elongated ridge and its thermal stability dependence: the mean field. Boundary-Layer Meteorol 69:173–199

    Article  Google Scholar 

  • De Franceschi M, Zardi D (2003) Evaluation of cut-off frequency and correction of filter-induced phase lag and attenuation in eddy covariance analysis of turbulence data. Boundary-Layer Meteorol 108:289–303

    Article  Google Scholar 

  • Deardorff JW (1970) Convective velocity and temperature scales for the unstable planetary boundary layer and for Rayleigh convection. J Atmos Sci 27:1211–1213

    Article  Google Scholar 

  • Deardorff JW (1980) Stratocumulus-capped mixed layers derived from a 3-dimensional model. Boundary-Layer Meteorol 18(4):495–527

    Article  Google Scholar 

  • Finnigan JJ, Raupach MR, Bradley EF, Aldis GK (1990) A wind tunnel study of turbulent flow over a two-dimensional ridge. Boundary-Layer Meteorol 50:277–317

    Article  Google Scholar 

  • Gong WM, Ibbetson A (1989) A wind tunnel study of turbulent flow over model hills. Boundary-Layer Meteorol 49:113–148

    Article  Google Scholar 

  • Holtslag AAM, Nieuwstadt FTM (1986) Scaling the atmospheric boundary layer. Boundary-Layer Meteorol 36:201–209

    Article  Google Scholar 

  • Hunt JCR, Leibovich S, Richards KJ (1988a) Turbulent shear flows over low hills. Quart J Roy Meteorol Soc 114:1435–1470

    Article  Google Scholar 

  • Hunt JCR, Richards KJ, Brighton PWM (1988b) Stably stratified shear flow over low hills. Quart J Roy Meteorl Soc 114:859–886

    Article  Google Scholar 

  • Huynh BP, Coulman CE, Turner TR (1990) Some turbulence characteristics of convectively mixed layers over rugged and homogeneous terrain. Boundary-Layer Meteorol 51:229–254

    Article  Google Scholar 

  • Jackson PS, Hunt JCR (1975) Turbulent wind flow over a low hill. Quart J Roy Meteorol Soc 101:929–955

    Article  Google Scholar 

  • Karacostas TS, Marwitz JD (1980) Turbulent kinetic energy budgets over mountainous terrain. J Appl Meteorol 19:163–174

    Article  Google Scholar 

  • Khanna S, Brasseur KG (1998) Three-dimensional bouyancy- and shear-induced local structure of the atmospheric boundary layer. J Atmos Sci 55:710–743

    Article  Google Scholar 

  • Mason PJ, Sykes RI (1979) Flow over an isolated hill of moderate slope. Quart J Roy Meteorol Soc 105:383–395

    Article  Google Scholar 

  • McMillen RT (1988) An eddy correlation technique with extended applicability to non-simple terrain. Boundary-Layer Meteorol 43:231–245

    Article  Google Scholar 

  • McNaughton KG (2006) On the kinetic energy budget of the unstable atmospheric surface layer. Boundary-Layer Meteorol 118:83–107

    Article  Google Scholar 

  • Moeng CH (1984) A large-eddy simulation model for the study of planetary boundary-layer turbulence. J Atmos Sci 41(13):2052–2062

    Article  Google Scholar 

  • Moeng CH, Sullivan PP (1994) A comparison of shear- and buoyancy driven planetary boundary layer flows. J Atmos Sci 51:999–1022

    Article  Google Scholar 

  • Neininger B, Fuchs W, Bäumle M, Volz-Thomas A, Prévôt ASH, Dommen J (2001) Paper 5.7: a small aircraft for more than just ozone: MetAir’s ‘Dimona’ after ten years of evolving development. In: Proceedings of the 11th symposium on meteorological observations and instrumentation, Amer Meteorol Soc Albuquerque, NM, pp. 123–128

  • Noppel H, Fiedler F (2001) Mesoscale heat transport over complex terrain by slope winds-a conceptual model and numerical simulations. Boundary-Layer Meteorol 104:73–97

    Article  Google Scholar 

  • Pino D, de Arellano JV-G, Duynkerke PG (2003) The contribution of shear to the evolution of a convective boundary layer. J Atmos Sci 60:1913–1926

    Article  Google Scholar 

  • Rampanelli G, Zardi D (2004) A method to determine the capping inversion of the convective boundary layer. J Appl Meteorol 43:925–933

    Article  Google Scholar 

  • Rampanelli G, Zardi D, Rotunno R (2004) Mechanisms of up-valley winds. J Atmos Sci 61:3097–3111

    Article  Google Scholar 

  • Ross AN, Arnold S, Vosper SB, Mobbs SD, Dixon N, Robins AG (2004) A comparison of wind-tunnel experiments and numerical simulations of neutral and stratified flow over a hill. Boundary-Layer Meteorol 113:427–459

    Google Scholar 

  • Rotach MW (1995) On the boundary layer over mountainous terrain - a frog’s perspective. MAP-Newsletter 3:31–32

    Google Scholar 

  • Rotach MW, Calanca P, Graziani G, Gurtz J, Steyn DG, Vogt R, Andretta M, Christen A, Cieslik S, Connolly R, De Wekker SFJ, Galmarini S, Kadygrov EN, Kadygrov V, Miller E, Neininger B, Rucker M, van Gorsel E, Weber H, Weiss A, Zappa M (2004) The turbulence structure and exchange processes in an Alpine valley: The Riviera project. Bull Amer Meteorol Soc 85:1367–1385

    Article  Google Scholar 

  • Rotach MW, Zardi D (2007) On the boundary layer structure over highly complex terrain: key findings from MAP. Quart J Roy Meteorol Soc, accepted

  • Skyllingstad ED (2003) Large eddy simulation of katabatic flows. Boundary-Layer Meteorol 106:217–243

    Article  Google Scholar 

  • Smith CM, Skyllingstad ED (2005) Numerical simulation of katabatic flow with changing slope angle. Mon Wea Rev 133:3065–3080

    Article  Google Scholar 

  • Stull RB (1988) An introduction to boundary layer meteorology. Kluwer Academic Publishers, Dordrecht, 666 pp

    Google Scholar 

  • Taylor GI (1938) The spectrum of turbulence. Proc Roy Soc London A164:476–490

    Google Scholar 

  • Taylor PA, Teunissen HW (1987) The Askervein hill project: overview and background data. Boundary-Layer Meteorol 39:15–39

    Article  Google Scholar 

  • Teixeira J, Cheinet S (2004) A simple mixing length formulation for the eddy-diffusivity parameterization of dry convection. Boundary-Layer Meteorol 110:435–453

    Article  Google Scholar 

  • Vosper SB, Mobbs SD (1997) Measurement of the pressure field on a mountain. Quart J Roy Meteorol Soc 123:129–144

    Article  Google Scholar 

  • Vosper SB, Mobbs SD, Gardiner BA (2002) Measurements of the near-surface flow over a hill. Quart J Roy Meteorol Soc 128:2257–2280

    Article  Google Scholar 

  • Weigel AP, Chow FK, Rotach MW (2006a) The effect of mountainous topography on moisture exchange between the “surface” and the free atmosphere. Boundary-Layer Meteorol (in press)

  • Weigel AP, Chow FK, Rotach MW, Street RL, Xue M (2006b) High-resolution large-eddy simulations of flow in a steep alpine valley. Part II: flow structure and heat budgets. J Appl Meteorol & Climatol 45:87–107

    Article  Google Scholar 

  • Weigel AP, Rotach MW (2004) Flow structure and turbulence characteristics of the daytime atmosphere in a steep and narrow Alpine valley. Quart J Roy Meteorol Soc 130:2605–2627

    Article  Google Scholar 

  • Whiteman CD (1990) Observations of thermally developed wind systems in mountainous terrain. In: Blumen W (ed.) Atmospheric processes over complex terrain. Amer Meteorol Soc, Boston, pp 5–42

  • Whiteman CD (2000) Mountain meteorology. fundamentals and applications. Oxford University Press, Oxford, 355 pp

    Google Scholar 

  • Xue M, Droegemeier KK, Wong V, Shapiro A, Brewster K (1995) ARPS version 4.0 user’s guide. Center for Analysis and Prediction of Storms (CAPS). Norman, OK

  • Xue M, Droegemeier KK, Wong V (2000) The Advanced Regional Predicition System (ARPS) - a multi-scale nonhydrostatic atmospheric simulation and prediction model. Part I: model dynamics and verification. Meteorol Atmos Phys 75:161–193

    Article  Google Scholar 

  • Xue M, Droegemeier KK, Wong V, Shapiro A, Brewster K, Carr F, Weber D, Liu Y, Wang D (2001) The Advanced Regional Prediction System (ARPS) - a multi-scale nonhydrostatic atmospheric simulation and prediction tool. Part II: model physics and applications. Meteorol Atmos Phys 76:143–165

    Article  Google Scholar 

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Correspondence to Andreas P. Weigel.

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Weigel, A.P., Chow, F.K. & Rotach, M.W. On the nature of turbulent kinetic energy in a steep and narrow Alpine valley. Boundary-Layer Meteorol 123, 177–199 (2007). https://doi.org/10.1007/s10546-006-9142-9

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  • DOI: https://doi.org/10.1007/s10546-006-9142-9

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