Come calcolare il numero di Richardson (Ri) rapporto adimensionale meteorologia + oceanografia + atmospheric boundary layer ABL + density-stratified flows che misura il rapporto tra effetti stratificazione (stability) e effetti shear (instability) flusso stratificato: Ri = N^2 / (du/dz)^2.

Brunt-Vaisala frequency squared N^2 = -(g/rho) * drho/dz rad^2/s^2 misura stratification stability (rho densità; g gravita 9.81; positiva N^2 stable; negative N^2 unstable convective); Shear rate du/dz vertical wind/current velocity gradient 1/s misura kinetic energy injection.

Classificazione regime: Ri<0 unstable convective N^2<0 instability convettiva atmosferica + ocean overturning + Rayleigh-Benard convection storm + thunderstorm + mixed layer; Ri<0.25 turbulent Kelvin-Helmholtz instability + KH billow waves + cloud streets + ocean internal waves + breaking + critical Ri_c = 0.25 Miles-Howard 1961 + Howard's theorem; 0.25<Ri<1 marginally stable mixed turbulent-laminar transition + stratified turbulence + intermittent + nocturnal boundary layer; 1<Ri<10 stable stratification suppresses turbulence + temperature inversion + nocturnal jet + radiation fog + stable ABL Pasquill F class; Ri>10 strongly stable stratified flow laminar dominant + radiative cooling + frost + thermohaline ocean.

Critical Ri_c=0.25 Miles-Howard 1961 theorem + necessary condition stability stratified parallel flow Howard's semicircle theorem + sufficient condition Miles 1961 J Fluid Mech 10:496. Storia: Lewis Fry Richardson (UK Newcastle 1881-1953 Kilmun Scotland) Cambridge King's College + Newcastle Quaker pacifist matematico fisico inglese pioneer numerical weather prediction NWP + meteorology + chaos + fractals + arms race mathematical model + International Statistical Institute fellow; 1920 paper Proc Roy Soc A 97:354 'The supply of energy from and to atmospheric eddies' first paper introducing Richardson number atmospheric eddy energy; 1922 textbook 'Weather Prediction by Numerical Process' Cambridge classic textbook NWP first proposal numerical weather forecast + 64000 computers (humans) parallel computation; pacifist Quaker 1916 ambulance volunteer WWI + 1939 Generalship pacifist anti-WWII + Statistics of Deadly Quarrels 1960 posthumous arms race quantitative + Richardson dispersion law turbulence + Richardson plot fractal coastline length-scale dependent.

Italia ricerca atmospheric + ocean + meteorology: ARPA Agenzia Regionale Protezione Ambiente Lombardia Milano + Emilia-Romagna Bologna + Veneto Padova + Lazio Roma + Piemonte Torino + Toscana Firenze + Sicilia + 21 regional total 6000 employees + air quality + water + groundwater monitoring + atmospheric stratification + boundary layer + Pasquill stability classes A-F; ISPRA Istituto Superiore Protezione Ricerca Ambientale Roma 1500 environmental + atmospheric dispersion + groundwater + boundary layer Pasquill classes; CNR-ISMAR Istituto Scienze Marine Venezia + Pozzuolo del Friuli + Bologna + Trieste 200 ocean research + thermohaline mixing + stratification + Mediterranean + Adriatic + estuary salinity gradient; CNR-IIA Inquinamento Atmosferico Monterotondo Roma + Sesto Fiorentino 250 atmospheric pollutants + dispersion + chemistry; CMCC Centro Mediterraneo Cambiamenti Climatici Lecce + Bologna + Capua 200 climate research + ocean mixing + Mediterranean stratification; INGV Istituto Nazionale Geofisica Vulcanologia Roma 1999 + L'Aquila + Catania + Pisa Sicilia + Bologna 1500 + INGV magnetic observatory + atmospheric volcanic plume; CNR-INM Istituto Marina Roma + Genova 200 idrodinamica navale + density-driven flow; SPRINT-Lab CNR-IRBIM Bioeconomia Marina Ancona 200; INFN Roma 1951 5000 + Frascati LNF 800.

Italia università meteorology + atmospheric + ocean: Politecnico Milano DEIB Dipartimento Elettronica Informazione Bioingegneria 1863 7500 + DENG Energia + DCMC + LCM + Polo Mecc; Politecnico Torino DENERG + DIATI 1859 5000 + DIATI Ambiente; Sapienza Roma DICMA + DIMA + DIET 1303 4000 + DICEA Civile Edile Ambientale; Federico II Napoli DICMaPI + DII + DIETI 1224 5000; Bologna DICAM + DEI + DIN 1088 4000 + Hydrology Section; Padova DII + DEI + ICEA 1222 3000 + CISAS; Pisa DICI + DESTeC + DII 1343 2500; Politecnico Bari DEI 1990 2500; Trento DICAM + DISI 1962; Genova DICCA + DIBRIS 1481 2000; Ca Foscari Venezia 1868 + DAIS Dipartimento Scienze Ambientali Informatica Statistica + Venezia Lagoon mixing research + IUAV Venezia; Salerno DIIN 1968; Cagliari DIMCM 1606. Italia industria wind energy + atmospheric: ANEV Associazione Nazionale Energia Vento Roma 100 + Enercon Italia + Vestas Italia + Siemens Gamesa Italia + Nordex Italia 600 wind farms 11.6 GW installed Italia 2024 + 80% on-shore + 20% off-shore + Lazio + Abruzzo + Campania + Sicilia + Puglia + Calabria; ENEL Green Power Roma 1300 wind + solar + hydroelectric + nuclear historical; ERG Genova 4000 wind + solar + hydroelectric; Edison Renewable + ERG Renew + Falck Renewable;

Acea Roma 6000 utility + Hera Bologna 9000 utility + A2A Milano + Brescia 13000 utility + Iren Reggio Emilia 9000 utility. Italia industria offshore + maritime stratified flow: Saipem Milano 1957 32000 oil&gas EPC + offshore platforms + subsea pipelines + dynamic positioning DP3 + density-stratified gas-liquid; Eni SpA Roma 1953 32000 + Eni R&D San Donato Milanese 1500 + raffinerie 5 sites + Versalis polimeri + Plenitude rinnovabili + density-stratified gas-liquid; Tecnimont Milano Maire Tecnimont 6000 EPC; Snam Milano 1941 6000 gas grid 30000 km gasdotti pipelines two-phase flow; Fincantieri Trieste 1959 22000 cantieri navali + cruise liners MSC Costa + military vessels U212; Astaldi Roma 1922 6000 EPC; Salini Impregilo Webuild Milano 1906 80000 EPC global infrastructure + Stretto di Messina ponte 3.3 km design 2026-2032; Fagioli Reggio Emilia heavy lift transport. Italia atmospheric + climate research: CMCC Centro Mediterraneo Cambiamenti Climatici Lecce 200 + climate research + ocean mixing + Mediterranean stratification; Fondazione Cini Venezia + ISMAR Venezia ocean Adriatic; INAF Istituto Nazionale Astrofisica Roma 1500 atmospheric science + Mauna Loa Hawaii partnership; INGV Istituto Nazionale Geofisica Vulcanologia Roma 1999 + L'Aquila + Catania Mt Etna + Stromboli atmospheric volcanic plume + Vulcano + Vesuvio + Phlegraean Fields; ASI Agenzia Spaziale Italiana Roma 1988 + ESA contributions Sentinel atmosphere + ESA-ISRO ECOSTRESS climate.

Italia industria HVAC + indoor air quality stratification: Riello Termotecnica Verona 1922 3000 + Beretta Lecco 800 + Immergas Brescello 800 + Vaillant Italia + Viessmann Italia + Ariston Group Fabriano 6500 + De Longhi 8500 + Daikin Italia + Mitsubishi Electric Italia + LG + Samsung. Italia automotive aerospace ABL: Leonardo Roma 51000 + Eurofighter Typhoon + ATR Pomigliano + Avio Aero Rivalta Torino 5000 GE Aviation + Avio Colleferro 5000 Vega + Thales Alenia Space 7800 + Airbus Italia + ESA + INAF stratification atmosphere research.

Formula numero Richardson

Definizione: Ri = N^2 / (du/dz)^2 rapporto adimensionale stratification stability/shear instability. N^2 Brunt-Vaisala squared rad^2/s^2; du/dz shear rate vertical 1/s.

Brunt-Vaisala frequency: N^2 = -(g/rho) * drho/dz oscillation frequency stratified fluid. Stratification stable N^2>0; unstable N^2<0 (heavy on top). Tipicamente atmosfera N=0.01-0.02 rad/s; ocean termoclino N=0.01-0.05 rad/s.

Critical Richardson: Ri_c=0.25 Miles-Howard 1961 theorem necessary + sufficient condition stability inviscid stratified parallel flow + Howard's semicircle theorem + linearized Taylor-Goldstein equation eigenvalue.

Significato fisico: Ri<0 convective overturning + thermal turbulence; Ri<0.25 Kelvin-Helmholtz instability + KH billows shear-driven turbulence; 0.25<Ri1 stable stratification + suppresses turbulence + temperature inversion + radiation fog; Ri>>1 strongly stable laminar.

Numeri correlati: Reynolds Re inerzia/viscosità; Froude Fr = u/sqrt(g*L); Atwood At density contrast; Rossby Ro = u/(2*Omega*L) Coriolis; Ekman Ek viscous boundary layer rotating; Stokes Stk particle-fluid coupling. Boussinesq approximation valid Atwood<<1 + Brunt-Vaisala N constant.

Storia e contesto

Lewis Fry Richardson (Newcastle UK 1881 - Kilmun Scotland 1953) Quaker famiglia matematico fisico inglese + Cambridge King's College 1903 BA + 1916 ambulance corps WWI volunteer pacifist + Newcastle Northumberland teacher + 1922-1929 Westminster Training College London + 1929-1940 Director Paisley Technical College Scotland + 1940-1953 retired research; 1920 paper Proceedings Royal Society A 97:354 'The supply of energy from and to atmospheric eddies' 19 pages first paper introducing Richardson number atmospheric eddy energy turbulence-stability relationship; 1922 textbook 'Weather Prediction by Numerical Process' Cambridge University Press 250 pages classic textbook NWP Numerical Weather Prediction first proposal numerical weather forecast + 64000 computers (humans) parallel computation in central forecast factory + Richardson dream realized after 1950 ENIAC computer + Charney-Fjortoft-von Neumann 1950 first NWP success.

Lewis Fry Richardson legacy: pacifist Quaker WWII anti + Statistics of Deadly Quarrels 1960 posthumous quantitative arms race + Richardson Q-statistic + Richardson plot fractal coastline length-scale dependent + Richardson dispersion law turbulence + Richardson cascade energy + Richardson number eponym; pioneer mathematical meteorology + chaos theory precursor + fractals geometry.

Miles 1961 J Fluid Mech 10:496 'On the stability of heterogeneous shear flows' + Howard 1961 J Fluid Mech 10:509 'Note on a paper of John W. Miles' classic Miles-Howard theorem Ri_c=0.25 necessary sufficient condition stability stratified parallel flow Taylor-Goldstein equation.

Vaisala-Brunt frequency: David Brunt UK 1890-1965 + Vilho Vaisala Finland 1889-1969 atmospheric scientists pioneer Brunt-Vaisala frequency oscillation stratified fluid eponym. Eredita: Turner 1973 'Buoyancy effects in fluids' Cambridge classic textbook stratified turbulence; Wyngaard 2010 'Turbulence in the atmosphere' Cambridge atmospheric boundary layer; Pope 2000 'Turbulent flows' Cambridge classic textbook.

Italia ricerca + università: Politecnico Milano DEIB + DENG + DCMC + LCM 7500 + scuola Carlo Cercignani Boltzmann legacy 1939-2010 kinetic theory mathematical Politecnico Milano DAER; Politecnico Torino DENERG + DIATI 1859 5000 + DIATI Ambiente Territorio Infrastrutture; Sapienza Roma DICMA + DIMA + DIET 1303 4000 + DICEA Civile Edile Ambientale + atmospheric science; Federico II Napoli DICMaPI + DII + DIETI 1224 5000; Bologna DICAM + DEI + DIN 1088 4000 + Hydrology Section + Bologna ARPA Emilia-Romagna; Padova DII + DEI + ICEA 1222 3000 + CISAS Centro Studi Attività Spaziali; Pisa DICI + DESTeC + DII Bioingegneria 1343 2500; Politecnico Bari DIChim + DEI 1990 2500; Trento DICAM + DISI 1962; Genova DICCA + DIBRIS 1481 2000 + IIT Italian Institute Technology 1700; Ca Foscari Venezia 1868 + DAIS Dipartimento Scienze Ambientali Informatica Statistica + Venezia Lagoon mixing research stratification + IUAV Venezia; Salerno DIIN 1968; Firenze DIEF 1321; Cagliari DIMCM 1606.

Italia istituti meteorology + atmospheric + ocean: ARPA Agenzia Regionale Protezione Ambiente Lombardia Milano + Emilia-Romagna Bologna + Veneto Padova + Lazio Roma + Piemonte Torino + Toscana Firenze + Sicilia Palermo + Sardegna Cagliari + 21 regional total 6000 employees + air quality + water + groundwater monitoring + atmospheric stratification + boundary layer + Pasquill stability classes A B C D E F + temperature inversion + nocturnal boundary layer; ISPRA Istituto Superiore Protezione Ricerca Ambientale Roma 1500 environmental + atmospheric dispersion + groundwater + boundary layer Pasquill classes + AERMOD CALPUFF dispersion model; CNR-ISMAR Istituto Scienze Marine Venezia + Pozzuolo del Friuli + Bologna + Trieste 200 ocean research + thermohaline mixing + stratification + Mediterranean + Adriatic + Tyrrhenian + Ionian + estuary salinity gradient + Mediterranean Sea overturning circulation MOC; CNR-IIA Inquinamento Atmosferico Monterotondo Roma + Sesto Fiorentino 250 atmospheric pollutants + dispersion + chemistry + black carbon + PM10 PM2.5 + ozone; CMCC Centro Mediterraneo Cambiamenti Climatici Lecce + Bologna + Capua 200 climate research + ocean mixing + Mediterranean stratification + climate change + IPCC contributions;

INGV Istituto Nazionale Geofisica Vulcanologia Roma 1999 + L'Aquila + Catania + Pisa Sicilia + Bologna 1500 employees + INGV magnetic observatory L'Aquila Castello + Lampedusa + Antarctica + atmospheric volcanic plume + Mt Etna + Stromboli + Vulcano + Vesuvio + Phlegraean Fields; CNR-INM Istituto Marina Roma + Genova 200 idrodinamica navale + density-driven flow + INSEAN bacino 470 m; INFN Roma 1951 5000 + Frascati LNF DAFNE collider 800; INRIM Torino 2006 250 metrologia. Italia industria meteorology forecasting: Italmeteo + 3B Meteo + Aeronautica Militare Italian Air Force Pratica di Mare Roma + Brindisi + Decimomannu Sardinia + meteorological service + Italian Meteorological Society SIMM Roma + AGROMETEO regional services + Coldiretti farming meteorology; ECMWF European Centre Medium-Range Weather Forecasts Reading UK + Italy contribution; ENAV Roma + Direzione Generale Aviazione Civile DGAC + Italian Air Force aviation meteorology.

Italia industria wind energy + atmospheric boundary layer: ANEV Associazione Nazionale Energia Vento Roma 100 employees Italian Wind Energy Association + Enercon Italia + Vestas Italia + Siemens Gamesa Italia + Nordex Italia 600 + wind farms 11.6 GW installed Italia 2024 + 80% on-shore + 20% off-shore Lazio + Abruzzo + Campania + Sicilia + Puglia + Calabria + Sardegna + 800 wind farms; ENEL Green Power Roma 1300 wind + solar + hydroelectric + nuclear historical + Mexico + USA + Brazil + Iberdrola Renovables Italy + ERG Genova 4000 wind + solar + hydroelectric + Falck Renewable + Edison Renewable + Acea Roma 6000 utility + Hera Bologna 9000 utility + A2A Milano + Brescia 13000 utility + Iren Reggio Emilia 9000 utility + Italgen ItalGen Energia Pietrasanta. Italia industria offshore + maritime stratified flow: Saipem Milano 1957 32000 oil&gas EPC + offshore platforms Castor Castorone CMS Saipem 7000 + subsea pipelines + dynamic positioning DP3 + density-stratified gas-liquid; Eni SpA Roma 1953 32000 + Eni R&D San Donato Milanese 1500 R&D + raffinerie 5 sites Sannazzaro Pavia + Taranto + Livorno + Venezia + Gela Sicilia + Versalis polimeri Mantova Ferrara Brindisi Priolo Gargallo + Plenitude rinnovabili 7 milioni clienti + density-stratified gas-liquid; Tecnimont Milano Maire Tecnimont 6000 EPC chemical petrochemical reactor + heat exchanger + density-stratified mixing;

Snam Milano 1941 6000 gas grid 30000 km gasdotti pipelines two-phase flow + density-stratified; Fincantieri Trieste 1959 22000 cantieri navali Monfalcone Marghera Castellammare di Stabia Sestri Ponente Genova + cruise liners MSC Costa Crociere + military vessels U212 submarines + frigates FREMM aircraft carrier Cavour Trieste; Astaldi Roma 1922 6000 EPC + offshore + tunnels + bridges; Salini Impregilo Webuild Milano 1906 80000 EPC global infrastructure + Stretto di Messina ponte 3.3 km design 2026-2032 longest single-span suspension bridge world; Fagioli Reggio Emilia heavy lift transport + offshore.

Tabella valori Richardson

• Ri = N^2 / (du/dz)^2: definizione
• N^2 = -(g/rho) * drho/dz: Brunt-Vaisala
• Ri_c = 0.25: Miles-Howard 1961 critical
• Ri<0 unstable: convective overturning
• Ri<0.25 turbulent KH: Kelvin-Helmholtz instability
• 0.25<Ri<1 marginally stable: mixed
• 1<Ri<10 stable: stratification suppresses
• Ri>10 strongly stable: laminar dominant
• Atmosfera N ~0.01-0.02 rad/s
• Ocean termoclino N ~0.01-0.05 rad/s
• Pasquill stability A B C D E F: ABL classes
• Richardson 1881-1953 UK Newcastle
• Richardson 1920 Proc Roy Soc A 97:354
• Richardson 1922 'Weather Prediction by Numerical Process'
• Richardson 64000 computers parallel
• Miles-Howard 1961 J Fluid Mech 10:496
• Brunt UK 1890-1965 + Vaisala Finland 1889-1969
• Charney-Fjortoft-von Neumann 1950 ENIAC NWP
• Italia ARPA 6000: 21 regional + air quality
• Italia ISPRA Roma 1500: atmospheric dispersion
• Italia CNR-ISMAR 200: ocean Mediterranean
• Italia CMCC Lecce 200: climate research
• Italia INGV 1500: volcanic plume + magnetic
• Italia CNR-IIA 250: atmospheric pollutants
• Italia ANEV 100: wind energy 11.6 GW
• Italia ENEL Green Power Roma: 1300 wind solar
• Italia ERG Genova: 4000 wind solar
• Italia Saipem 1957: 32000 EPC density
• Italia Eni 1953: 32000 + R&D 1500
• Italia Aeronautica Militare: meteorology Pratica di Mare

Esempi numerici dettagliati

Esempio 1 - Atmospheric unstable convective. N^2=-0.001 rad^2/s^2 (heavy hot air below cold above), du/dz=0.1 1/s. Ri = -0.001/0.01 = -0.1. Unstable convective overturning + thunderstorm summer convection. Italia: ARPA Lombardia + Emilia-Romagna + Veneto + Lazio temperature inversion + Aeronautica Militare meteorology Pratica di Mare.

Esempio 2 - Turbulent Kelvin-Helmholtz instability. N^2=0.0001, du/dz=0.1. Ri = 0.0001/0.01 = 0.01. Strong KH instability + cloud streets + ocean breaking internal waves. Italia: CNR-ISMAR Venezia + CMCC Lecce + INGV atmospheric volcanic plume Mt Etna + Politecnico Milano DENG.

Esempio 3 - Marginally stable transition. N^2=0.0005, du/dz=0.05. Ri = 0.0005/0.0025 = 0.2. Just below Ri_c=0.25 marginally stable + stratified turbulence intermittent. Italia: ARPA monitoring + ISPRA atmospheric dispersion + ANEV wind farms 11.6 GW boundary layer.

Esempio 4 - Stable stratified ABL. N^2=0.001, du/dz=0.01. Ri = 0.001/0.0001 = 10. Stable stratification + temperature inversion + radiation fog + nocturnal boundary layer. Italia: ARPA Pianura Padana inversion winter Po Valley + ARPA Lombardia + Emilia-Romagna + Veneto fog smog.

Esempio 5 - Strongly stable thermohaline ocean. N^2=0.01, du/dz=0.01. Ri = 0.01/0.0001 = 100. Strongly stable laminar + ocean thermohaline + Mediterranean Sea deep water + Norwegian Sea winter. Italia: CNR-ISMAR Venezia + Pozzuolo del Friuli + Bologna + Trieste 200 ocean Adriatic Tyrrhenian Mediterranean + CMCC Lecce 200 climate Mediterranean stratification overturning circulation MOC.

Limiti e considerazioni

1. Gradient Richardson Ri vs flux Richardson Ri_f: Ri = N^2/(du/dz)^2 gradient form; Ri_f = -g*w'b'/(du/dz) flux form turbulent.
2. Bulk Richardson Ri_b = g*Delta_z*Delta_theta/(theta*Delta_u^2) ABL bulk version + integrated layer thickness.
3. Continuous stratification vs sharp interface: Ri valid continuous; sharp interface Atwood number more relevant.
4. Time-dependent N(t): variable stratification + diurnal variation atmospheric Lt + ocean tidal mixing modify Ri analysis.
5. Anisotropic turbulence: stratification suppresses vertical motion + horizontal motion enhanced anisotropic.
6. Non-Boussinesq: large density variations + non-Boussinesq full equations + Atwood>0.1.
7. Compressibility: high Mach + supersonic + atmospheric high altitude compressible.
8. Magnetic field: MHD MHD-Richardson coupled + magnetorotational instability MRI Balbus-Hawley.
9. Numerical CFD: WRF Weather Research Forecasting + ROMS Regional Ocean Modeling System + DNS Direct Numerical Simulation.
10. Mode coupling: Ri + Ekman + Rossby + KH + Holmboe + double diffusion stratified flow.

Errori comuni

Gradient vs flux Richardson: gradient form (du/dz)^2 (used here); flux form requires turbulent measurements w'u' w'b' fluxes.

N^2 sign: positive stable; negative unstable convective. Errore confondere -> regime sbagliato.

Critical Ri_c=0.25 inviscid: Miles-Howard 1961 inviscid theorem. Viscous correction Re-dependent. Real flows Ri_c~0.2-0.5.

Atmospheric vs ocean: atmosphere temperature stratification; ocean salinity + temperature thermohaline. Both N^2 calculation different.

Boussinesq approximation: small Atwood + N^2 constant. Large density variation invalidates Boussinesq.

Applicazioni pratiche

1. Atmospheric boundary layer ABL + air quality: Italia ARPA 21 regional 6000 + ISPRA Roma 1500 + CNR-IIA Monterotondo 250 + Pasquill stability classes A-F + dispersion model AERMOD CALPUFF.
2. Numerical weather prediction NWP: Aeronautica Militare Pratica di Mare + Italmeteo + 3B Meteo + ECMWF Reading UK Italy contribution + WRF Weather Research Forecasting.
3. Ocean thermohaline + Mediterranean overturning: CNR-ISMAR Venezia + Pozzuolo del Friuli + Bologna + Trieste 200 + CMCC Lecce 200 climate + IPCC contributions + Mediterranean Sea overturning circulation MOC.
4. Wind energy ABL + offshore: ANEV 100 + Enercon Italia + Vestas + Siemens Gamesa + Nordex 600 + 11.6 GW Italia 2024 + Enel Green Power Roma 1300 + ERG 4000 + Falck Renewable + offshore Sardegna proposal.
5. Volcanic plume atmospheric stratification: INGV Roma 1500 + L'Aquila + Catania Mt Etna + Stromboli + Vulcano + Vesuvio + Phlegraean Fields + ASI Sentinel ESA + INAF.
6. Density-driven offshore + maritime: Saipem 32000 EPC oil&gas + Eni 5 raffinerie + Snam 30000 km gasdotti + Fincantieri 22000 cantieri navali + density-stratified.
7. Climate change Mediterranean: CMCC Lecce 200 + Fondazione Cini Venezia + ASI Sentinel + ESA Solar Orbiter + IPCC contributions + COP climate negotiations.
8. Indoor air quality stratification HVAC: Riello Verona 3000 + Beretta Lecco 800 + Ariston Fabriano 6500 + Daikin Italia + temperature inversion stratified building.
9. Aviation meteorology turbulence: ENAV Roma + Aeronautica Militare + Direzione Generale Aviazione Civile DGAC + clear-air turbulence CAT + jet stream + Eurocontrol Brussels.
10. Universita ricerca atmospheric ocean: Politecnico Milano DEIB + DENG + LCM 7500 + Politecnico Torino DENERG + DIATI + Sapienza DICEA + Federico II + Bologna DICAM Hydrology + Padova ICEA CISAS + Pisa DICI + Ca Foscari Venezia DAIS + IIT Genova 1700.

Aggiornato a luglio 2026