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    A new sensitivity analysis and solution method for scintillometer measurements of area-average turbulent fluxes

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    Author
    Gruber, Matthew
    Chair
    Fochesatto, Gilberto J.
    Committee
    Zhang, Xiangdong
    Collins, Richard L.
    Metadata
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    URI
    http://hdl.handle.net/11122/4617
    Abstract
    Scintillometer measurements of the turbulence inner-scale length l₀ and refractive index structure function C²n allow for the retrieval of large-scale area-averaged turbulent fluxes in the atmospheric surface layer. This retrieval involves the solution of the non-linear set of equations defined by the Monin-Obukhov similarity hypothesis. A new method that uses an analytic solution to the set of equations is presented, which leads to a stable and efficient numerical method of computation that has the potential of eliminating computational error. Mathematical expressions are derived that map out the sensitivity of the turbulent flux measurements to uncertainties in source measurements such as l₀. These sensitivity functions differ from results in the previous literature; the reasons for the differences are explored.
    Table of Contents
    1. Introduction -- 1.1. Atmospheric boundary layer turbulent fluxes -- 1.2. Scintillation -- 1.3. Uncertainty propagation -- 1.4. Thesis goals and outline -- Bibliography -- 2. A new sensitivity analysis and solution method for scintillometer measurements of area-average turbulent fluxes -- Abstract -- 2.1. Introduction -- 2.2. Measurement strategy case study: Displaced-beam scintillometer system in unstable conditions -- 2.3. Results: Derivation of sensitivity functions -- 2.4. Discussion -- 2.5. Conclusions -- Acknowledgements -- Appendices -- Bibliography -- 3. Conclusions -- 3.1. Sensitivity of turbulent fluxes to uncertainties in source measurements -- 3.2. Validation of flux retrieval techniques -- 3.3. Analytic solution of equations and computation of turbulent fluxes -- 3.4. Extension to variable topography and heterogeneous terrain -- Bibliography -- 4. Glossary of terms.
    Date
    2013-08
    Type
    Thesis
    Collections
    Atmospheric Sciences

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