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Toward a moist dynamics that takes account of cloud systems ( in prep. for JMSJ). Brian Mapes University of Miami AGU 2011 YOTC session. Motivation . Disconnect between detailed observations and large-scale desires that justify them Observations are 4+ dimensional ( xyzt + scales)
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Toward a moist dynamics that takes account of cloud systems(in prep. for JMSJ) Brian Mapes University of Miami AGU 2011 YOTC session
Motivation • Disconnect between detailed observations and large-scale desires that justify them • Observations are 4+ dimensional (xyzt + scales) • rich mesoscale texture (cloud systems) • How can this truly inform modeling?
Example: mixing in convection “The authors identify the entrainment rate coefficient of the convection scheme as the most important single parameter... [out of 31]...[for]... HadSM3 climate sensitivity” Rougier et al. 2009, J.Clim. doi:10.1175/2008JCLI2533.1. Brooks Salzwedel Plume #1 2009 12" x 8” Mixed Media
Find the entrainment rate coefficient Oct 18-19 30 hour loop DYNAMO campaign, equatorial Indian Ocean (Maldives) S-POL radar reflectivity 300 km
Our disconnect: like premodern medicineForm vs. Function
Connecting form to function • Definitions & measures of function • Offline diagnostic: sensitivity matrix • Test-harness performance: column with parameterized large-scale dynamics • Inline tests: global explicit cloud models • Ways to control for form • Domain size and shape; vertical wind shear • Conditional sampling (obs??)
Connecting form to function: one model approach • Definitions & measures of function • sensitivity matrix • Ways to control form • Domain size and shape • Work of ZhimingKuang (2010, 2012)
Sensitivity matrix M: • a definition & measure of function • Kuang (2010 JAS) devised a way to build it • using a CRM in eq’m, then matrix inversion • works because convection is linear enough • as shown also in Tulich and Mapes 2010 JAS
M from 128x128km 2km-mesh CRM in Rad. Conv. Eqm. z (km) z (km) z (km) z (km) 0 1 2 5 8 12 0 1 2 5 8 12 0 1 2 5 8 12 0 1 2 5 8 12 0
Effect of T’ on subsequent 4h heatingp coordinates view each built from >100,000 days of CRM time inhibits heating above T’650 >0 (Kuang 2012)
Sensitivity of column integrated heatingto T’ at various pressure levels Sensitivity of 4h rain to T’ inhibits heating above T’700 >0
Sensitivity of 4h small domain rain to T’ and q’ Moisture in free troposphere is favorable Warm air is a buoyancy barrier. This “effective inhibition“ layer extends up to 400mb! WARM AND MOIST PBL IS VERY FAVORABLE
Organized convection: different sensitivity What is “organized?” Storms in 2048 x 64 km domain (unsheared RCE) • Midlevel inflows, “layer overturning” • Coherent structures fewer of them, so ZK had to use >200,000 days of CRM time for...
Organized convection sensitivities to large-scale (domain-mean) T anomalies: inhibits heating above
Organized 4h heating sensitivities to large-scale (domain-mean) T anomalies: • The basic column vector (heating profile) is deep heating & PBL cooling • +/- • (plus local damping of T’, diagonal blue values)
Sensitivity of 4h big domain rain to T’ and q’ “inhibition” layer now 600-300 mb Much more sensitive to domain-mean moisture anomalies at various levels above PBL Positive influence of T’ now up to 700mb (not just PBL “parcel” level) Kuang pers. comm. Saturday
Organization: A 2D-3D continuum? 3D – With Shear 3D – small- No Shear doubly periodic x (km) Strict 2D Mapes (2004)
Connecting form to function: • Need definitions / measures of function • Full ‘inline’ tests: global models with explicit convection
‘Super’ vs ‘Under’ explicit convection global models: • Teraflop for teraflop, which one gives better performance? (by what metrics?) • ‘Under’ keeps the spectrum-tail mesoscale, but compromises on convection resolution • ‘Super’ emphasizes convective scales, and accepts (hard-wires) a scale gap
Key points/ conclusions • Mesoscale/multiscale structure confounds obs-model connections • Need an account of how form relates to function • We have an accounting system (budgets, primes and bars), but a scientific account is more than that • Defining “function” is half the battle • Controlling form is the other half
Results • Offline diagnostic of function: matrix M • 4 hour rain sensitivity, from 128km CRM, shows: • High sensitivity to PBL (“parcel”) • free trop q ~uniformly important at all levels • inhibition applies up to 600mb • 4 hour sens.from 2048 x 128 w/ mesoscale org differs: • More sensitive to q’ in free troposphere • T’ at 700mb is a positive influence now • ‘inhibition’ layer extends up to 400-300 mb • A continuum from isotropic 3D to strict 2D? • Inline approaches: interesting comparison needs doing • Super-parameterization vs. under-resolved convection • Working to bring in obs (having model predictions helps)