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Explore the impact of different parameterization schemes on cyclone intensification in numerical models. Investigate boundary layer structures for insights on the evolution and intensity of tropical cyclones. Assess sensitivity to scheme variations and examine predictions of various models. Conclusions on scheme realism and inner core validity. Collaborative research by Roger Smith and Gerald Thomsen from Ludwig-Maximilians University of Munich.
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Dependence of tropical cyclone intensification on the boundary-layer parameterization in a numerical model Roger Smith Ludwig-Maximilians University of Munich Collaborator: Gerald Thomsen
Outline • Motivation • New insights into the role of the boundary layer • Dependence of tropical-cyclone evolution and azimuthal-mean structure on the representation of the boundary layer • Conclusions
Motivation In the light of our recent findings that the spin-up of the hurricane inner core occurs in the boundary layer, two important questions arise: • How sensitive is tropical cyclone intensification in a model to the boundary-layer parameterization scheme used? • How large are the differences in boundary-layer structure predicted by different schemes?
The primary circulation Pressure gradient force LO r v sea Centrifugal force and Coriolis force
Frictionally-induced secondary circulation primary circulation Secondary circulation Pressure gradient force r Friction layer v v Centrifugal force and Coriolis force are reduced by friction
Hurricane intensification • Basic principle - Conservation of absolute angular momentum: M = rv + r2f/2 f = Coriolis parameter = 2Wsin(latitude) r v v = M/r - rf/2 If r decreases, v increases! Spin up requires radial convergence
The basic thought experiment for intensification Initial condition Mean sounding Axisymmetric vortex p(z) T(z) q(z) V(r,z) r 27oC sea Nguyen, Smith and Montgomery calculation, QJRMS, 2008: • Idealized numerical model simulations, simple physics, MM5 • 5 km (1.67 km) resolution in the finest nest, 24s-levels
In print In press
Two mechanisms for TC intensification 15 10 z km 5 M conserved 0 50 r km 100 Mreduced by friction, but strong convergence small r From Montgomery, Nguyen & Smith (2009): QJRMS
6 - unmod Bulk 1 - mod Bulk 2 - Blackadar 3 – Burk Thompson 5 – Gayno-Seaman 4 - MRF 7 – unmod Gayno-Seaman
unmodified Bulk modified Bulk Radial and tangential wind components
unmodified Bulk modified Bulk Total wind
unmodified Bulk modified Bulk Vertical velocity
unmodified Bulk modified Bulk Net radial force = v2/r + fv (m s-1/hour)
1 – mod Bulk 2 – Blackadar 3 – Burk-Thompson 4 – MRF 5 – Gayno-Seaman 6 – unmod Bulk Comparison with Franklin’s data
1 – mod Bulk 2 – Blackadar 3 – Burk-Thompson 4 – MRF 5 – Gayno-Seaman 6 – unmod Bulk Surface wind reduction factor
1 – mod Bulk 2 – Blackadar 3 – Burk-Thompson 4 – MRF 5 – Gayno-Seaman 6 – unmod Bulk Surface inflow angle
1 – mod Bulk 2 – Blackadar 3 – Burk-Thompson 4 – MRF 5 – Gayno-Seaman 6 – unmod Bulk Surface wind
1 – mod Bulk 2 – Blackadar 3 – Burk-Thompson 4 – MRF 5 – Gayno-Seaman 6 – unmod Bulk 0 km 1.5 km Pseudo-equivalent potential temperature
Summary, conclusions and open questions • Extended the work of Braun and Tao (2000). • Examined new aspects of the boundary layer structure. • Tropical-cyclone intensification is sensitive to the scheme used including onset time of rapid intensification and the final intensity. • The boundary-layer structure varies considerably between schemes. • Which is the most realistic scheme? • Is boundary-layer theory valid in the inner core region? Answer: see Smith and Montgomery (2009)
1 – mod Bulk 2 – Blackadar 3 – Burk-Thompson 4 – MRF 5 – Gayno-Seaman 6 – unmod Bulk Surface latent heat flux
1 – mod Bulk 2 – Blackadar 3 – Burk-Thompson 4 – MRF 5 – Gayno-Seaman 6 – unmod Bulk Surface sensible heat flux