Skip to main content

Sensitivity Analysis of Lagrangian Stochastic Models for CBL with Different PDF’s and Turbulence Parameterizations

  • Chapter
Air Pollution Modeling and Its Application XII

Part of the book series: NATO • Challenges of Modern Society ((NATS,volume 22))

Abstract

It is known (Thomson, 1987) that Ito’s type stochastic models (LS) satisfy the well-mixed condition and hence are physically consistent. An Eulerian probability density function (PDF) of the turbulent velocities, as close as possible to the actual atmospheric PDF, must be prescribed in order to specify the model. Unfortunately these models have a unique solution in one-dimension only (Sawford and Guest, 1988). For this reason the present study will focus on one-dimensional diffusion simulation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Anfossi D., Ferrero E., Tinarelli G. and Alessandrini S., 1997, A simplified version of the correct boundary conditions for skewed turbulence in Lagrangian particle models, Atmos. Environ., 31, 301–308

    Article  CAS  Google Scholar 

  • Anfossi D., Ferrero E., Sacchetti D. and Trini Castelli S., 1996, Comparison among empirical probability density functions of the vertical velocity in the surface layer based on higher order correlations, Boundary Layer Meteorology, 82, 193–218

    Article  Google Scholar 

  • Antonia R.A. and Atkinson J.D., 1973, High-order moments of Reynolds shear stress fluctuations in a turbulent boundary layer, J. Fluid Mech., 58, part 3, 581–593

    Article  Google Scholar 

  • De Baas H.F., Van Dop H., and Nieuwstadt F.T.M., 1986, An application of the Langevin equation for inhomogeneous conditions to dispersion in a convective boundary layer, Quart. J. Roy. Meteor. Soc., 112, 165–180

    Article  Google Scholar 

  • Du S., Wilson J.D. and Yee E., 1994, Probability density functions for velocity in the convective boundary layer and implied trajectory models, Atmos. Environ., 28, 1211–1217

    Article  Google Scholar 

  • Durst F., Jovanovic J. and Johansson T.G., 1992, On the statistical properties of truncated Gram-Charlier series expansions in turbulent wall-bounded flows, Phys. Fluids, A 4, 118–126

    Google Scholar 

  • Ferrero E., Anfossi D., Tinarelli G. and Trini Castelli S., An intercomparison of two turbulence closure schemes and four parametrizations for stochastic dispersion models, Nuovo Cimento 20C, 315-329

    Google Scholar 

  • Flesch T.K. and Wilson D.J., 1992, A two-dimensional trajectory simulation model for non-Gaussian inhomogeneous turbulence within plant canopies, Boundary Layer Meteorology, 61, 349–374

    Article  Google Scholar 

  • Frenkiel F.N. and Klebanoff P.S., 1967, Higher order correlations in a turbulent field, Phys. Fluids, 10, 507–520

    Article  CAS  Google Scholar 

  • Kendall M. and Stuart A., 1977, The advanced theory of statistics, MacMillan, New York

    Google Scholar 

  • Lenschow D.H., Mann J., Kristensen L., 1994, How long is long enough when measuring fluxes and other turbulence statistics, J. Atm., Ocean. Techn., 661-673

    Google Scholar 

  • Luhar A.K. and Britter R.E., 1989, A random walk model for dispersion in inhomogeneous turbulence in a convective boundary layer, Atmos. Environ., 23, 1191–1924

    Google Scholar 

  • Morselli M.G. and Brusasca G., 1991, MODIA: Pollution dispersion model in the atmosphere, Environmental Software Guide, 211-216.

    Google Scholar 

  • Nagakawa H. and Nezu I, 1977, Prediction of the contributions to the Reynolds stress from bursting events in open-channel flows, J. Fluid Mech., 80 part 1, 99–128

    Article  Google Scholar 

  • Rodean H.C., 1994, Notes on the Langevin model for turbulent diffusion of “marked” particles, UCRL-ID-115869 Report of Lawrence Livermore National Laboratory

    Google Scholar 

  • Sawford B.L. and Guest F.M., 1988, Uniqueness and universality of Lagrangian stochastic models of turbulent dispersion, 8th Symposium on Turbulence and Diffusion, San Diego, CA, A.M.S., 96-99 Tampieri F. (personal communication)

    Google Scholar 

  • Thomson D.J., 1987, Criteria for the selection of stochastic models of particle trajectories in turbulent flows, J. Fluid Mech., 180, 529–556

    Article  CAS  Google Scholar 

  • Weil J.C., 1990, A diagnosis of the asymmetry in top-down and bottom-up diffusion using a Lagrangian stochastic model, JW. Atmos. Sci., 47, 501–515

    Article  Google Scholar 

  • Willis G.E. and J. Deardorf, 1976: A laboratory model of diffusion into the convective planetary boundary layer. Q.J.R. Meteor. Soc., 102, 427–445

    Article  Google Scholar 

  • Willis G.E. and J. Deardorf, 1978, A laboratory study of dispersion from an elevated source within a modelled convective boundary layer, Atmos. Environ., 12, 1305–1311

    Article  Google Scholar 

  • Willis G.E. and J. Deardorf, 1981, A laboratory study of dispersion from a source in the middle of the convective mixed boundary layer’, Atmos. Environ., 15, 109–117

    Article  Google Scholar 

  • Wilson J.D. and Flesch T.K. (1993) Flow boundaries in random-flight dispersion models: enforcing the well-mixed condition. J. Appl. Meteor., 32, 1695–1707

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media New York

About this chapter

Cite this chapter

Ferrero, E., Anfossi, D. (1998). Sensitivity Analysis of Lagrangian Stochastic Models for CBL with Different PDF’s and Turbulence Parameterizations. In: Gryning, SE., Chaumerliac, N. (eds) Air Pollution Modeling and Its Application XII. NATO • Challenges of Modern Society, vol 22. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9128-0_70

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-9128-0_70

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9130-3

  • Online ISBN: 978-1-4757-9128-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics