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Motivation                         Methodology                     Real application: Forecasting       Special Analysis: Alta Airport




                Terrain Induced Turbulence Prediction for Aviation Safety

                                                      Adil RASHEED, Karstein SØrli

                                                              Applied Mathematics
                                                                 SINTEF ICT

                                                             adil.rasheed@sintef.no



                                                             June 29, 2010




Adil RASHEED, Karstein SØrli                                                                       SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport




Outline


         1    Motivation

         2    Methodology
                Theory

         3    Real application: Forecasting
                Nesting
                Validation

         4    Special Analysis: Alta Airport
                Haugesund Airport
                Kristiansund Airport
                Alta Airport




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport




Incidents and accidents




                On 11 March 1982, Widerøe Flight 933, operated by the Twin Otter LN-BNK
                                                                                       ˚
                crashed into the Barents Sea near Gamvik, on route from Berlevag Airport to
                Mehamn Airport. All investigations have concluded that the crash resulted from
                structural failure of the aircraft’s tail caused by severe clear-air turbulence.
                On 12 April 1990, Widerøe Flight 839, operated by a Twin Otter, crashed into the
                seas one minute after take-off from Værøy Airport, killing all five on board. The
                cause of the crash had been strong and unpredictable wind gusts during take-off,
                which had exceeded the plane’s limits and created a break-up in the plane’s tail
                rudder, so the plane became uncontrollable.




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport




Hammerfest Airport: 1 May 2005




         On 1 May 2005, the Widerøe Dash-8-100 airplane LN-WIK was buffeted by strong
         winds upon landing, and the landing gear on the right wing collapsed. While several
         passengers sustained injuries, there were no fatalities in the incident, but the
         Norwegian Civil Aviation Authority imposed the strictest wind regulations in Norway
         upon the airport.

Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport




Amsterdam, Geneva, Paris, Frankfurt




         Flat terrain

Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport




Norwegian airports




         Characterized by fjords, hills, mountains, valleys resulting in rotors, mountain waves
         etc. ...
Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology                         Real application: Forecasting                  Special Analysis: Alta Airport



Theory


Governing Equations


                                                                      · (ρs u) = 0                                                    (1)

                                               Du                pd              θd   1
                                                  =−                     +g         +            ·R+f                                 (2)
                                               Dt                ρs              θs   ρs
                                                             Dθ
                                                                =        · (γT     θ) + q                                             (3)
                                                             Dt
                                                   DK
                                                      =          · (νT    K ) + Pk + Gθ −                                             (4)
                                                   Dt

                                       D                    νT                                                2
                                          =           ·               + (C1 Pk + C3 Gθ )               − C2                           (5)
                                       Dt                   σe                                     k          k
         SIMRA: Semi IMplicit Reynolds Averaged
         Structured version for forecasting
         Unstructured version for special analysis


Adil RASHEED, Karstein SØrli                                                                                      SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology                Real application: Forecasting                                Special Analysis: Alta Airport



Theory


Boundary Conditions (for special analysis)

                                                                              4000


                                                                              3000


                            u∗           z         z




                                                                       z(m)
                                                                              2000
             u0 (z) =               ln      +W              (6)
                            κ            z0        D
                                 −1/2 2            z                          1000
                 K (z) = Cµ          u∗         1−          (7)
                                                   D
                                                                                0
                                                                                270           275            280                285             290
                                                                                                    potential temperature (K)

                                                                       Potential temperature profile for Stable
                                                                       Stratification



         For forecasting: Nesting with Bigger scale model (UM1)


Adil RASHEED, Karstein SØrli                                                                                        SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Theory


Terrain induced shear




                                                    du
                                                    dx

                                                                                                   du

                                                                                                   dz




                1
         L=       C ρ (|U
                2 L inf
                                  − Vp |)2




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Theory


Effect of horizontal and vertical shear




    Horizontal shear                                                 Vertical shear

Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology                            Real application: Forecasting                     Special Analysis: Alta Airport



Theory


Safety Analysis



                                                            f
                                       c ∂u   w                        c                                                w f
                           F =−             +                   =−        [u(x +      f /2   − u(x −      f /2)t]   +                       (8)
                                       g ∂x   c                       g f                                                c

                                                                1/2             1/3
                                            1/3             (Cµ K )3/2                                    −1/3
                                                  ≈                                   ≈ 0.67K 1/2         t                                 (9)
                                                                      t

         c is the fly path, g gravitational acceleration u is the wind component along the fly path,
         w vertical wind component, turbulent dissipation, K turbulent kinetic energy t
         turbulent length scale f minimum response distance for landing configuration and is of
         the order of ∼ 500 m, Prevalence of the two conditions F < −0.1 and
          1/3 > 0.5 m2/3 s −1 correnspond to severe turbulence for commercial aircrafts and
                                                                             √
         represent potential danger. These conditions are easily met when K > 3 ms−1 .




Adil RASHEED, Karstein SØrli                                                                                            SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Nesting


Nesting: HIRLAM12− > HIRLAM8− > UM4− > UM1− > SIMRA




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Brønnøysund




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Evenes




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Fordes




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Hammerfast




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


        ˚
Honnigsvag




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Mosjøen




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Ørsta-Volda




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Narvik




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Sandane




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Værnes




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Validation


Right tool for the right job




               So ... Downscaling does not always work. Use an appropriate model to resolve
                                             interesting scales
Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Haugesund Airport


Haugesund Airport




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting           Special Analysis: Alta Airport



Haugesund Airport


Special Analysis: Haugesund airport



                                                                            Located on the west side of the island
                                                                            and municipality of Karmøy, southwest
                                                                            of Haugesund.
                                                                            Operated by Avinor since 1975
                                                                            Scandinavian Airlines, Norwegian Air
                                                                            Shuttle.
                                                                            Runway dimension: 2120 m × 45 m.
                                                                            Elevation of 86 m above mean sea
                                                                            level
                                                                            The airport had 514, 947 passengers
                                                                            in 2007




Adil RASHEED, Karstein SØrli                                                                    SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Haugesund Airport


Haugesund: Windrose




    Spring                                                           Autumn




    Summer                                           Winter
      The airport is not bothered by intense turbulence. Uneven side wind from the SSW and
      sometimes from the north, with strength 13m/s or more, can provide turbulent
      conditions on the final
Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Haugesund Airport


Haugesund: Terrain and Mesh




    Terrain in the vicinity of the Haugesund                         300 × 300 times 40 mesh
    airport

Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology                  Real application: Forecasting       Special Analysis: Alta Airport



Haugesund Airport
√
    K = 3 contours for free stream velocity of 30 m/s




                                                                                                   No potential
                                                                                                   danger.
  α = 60o                                                   α = 90o                                Turbulent zones
                                                                                                   are located far
                                                                                                   away from the
                                                                                                   airport.




  α = 120o                                                  α = 150o


Adil RASHEED, Karstein SØrli                                                                    SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology                  Real application: Forecasting       Special Analysis: Alta Airport



Haugesund Airport
√
    K contour along the fly path




  α = 60o                                                   α = 90o




  α = 120o                                                  α = 150o
Adil RASHEED, Karstein SØrli                                                                    SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Haugesund Airport
             √
Haugesund: K contours and velocity field projected on the cone
containing the gliding path for a free stream velocity of 20 m/s




    α = 60o                                                          α = 120o




    α = 90o
Adil RASHEED, Karstein SØrli
                                                                     α = 150o               SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Kristiansund Airport


Kristiansand Airport




         Braathens SAFE Boeing after landing accident 1977-10-31
Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting           Special Analysis: Alta Airport



Kristiansund Airport


Sample Application: Kristiansand Airport (Kjevik)




                                                                            Situated 4.3 NM (8.0 km) north-east of
                                                                            the city Kristiansand, Vest-Agder in
                                                                            southern Norway
                                                                            The airport serves the Agder district
                                                                            with domestic and international flights.
                                                                            The airport is operated by Avinor.
                                                                            Surrounded by water on three sides
                                                                            and hills on the fourth
                                                                            Vigorous turbulence is experienced for
                                                                            Northwesterly wind




Adil RASHEED, Karstein SØrli                                                                    SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting         Special Analysis: Alta Airport



Kristiansund Airport


Kjevik: Mesh and Terrain




                                                                                                    β




                                                                     β is the gliding angle
    300 × 300 × 40 mesh
    Resolution: 50 − 200 m
    Domain size:30 km × 30 km × 3 km

Adil RASHEED, Karstein SØrli                                                                  SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Kristiansund Airport


Turbulent Kinetic Energy along the surface of the cone




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Kristiansund Airport


3-D Velocity Field for α = 240o




         Flow channelizes through the valleys
Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Kristiansund Airport


3-D Velocity Field for α = 320o




         Flow ascends up the mountain
Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Kristiansund Airport
         √
3-D          K contours for α = 320o




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Kristiansund Airport
         √
3-D          K contours for α = 320o




         These plots are for free stream velocity of 20 m/s
         √
           K scales with this velocity
Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport


Alta




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting             Special Analysis: Alta Airport



Alta Airport


Special Analysis: Alta airport




                                                                            Situated 4km northeast of the town
                                                                            center of Alta on a plain where Alta
                                                                            River flows in the fjord
                                                                            2, 088 m long runway
                                                                            Operated by Avinor.
                                                                            334, 132 passengers served in 2009
                                                                            (busiest in Finnmark)
                                                                            Provision for wind and turbulence
                                                                            measurement on Komsa hill (200m)
                                                                            SAS, Norwegian




Adil RASHEED, Karstein SØrli                                                                      SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport


Alta: Terrain




         For 20 − 25m/s wind speed strong turbulence is experienced. Wind from SSW to NW
         is most problematic.

Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport


Alta: Windrose




    Spring                                                           Autumn




                                                                     Winter
    Summer

Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport


Alta: Terrain and Mesh




    Terrain in the vicinity of Alta airport and
    gliding plane

                                                                     300 × 300 times 40 mesh


Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology                  Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport


Turbulent Kinetic Energy along the surface of the cone




                                                                                                   Severe
  α = 60o                                                   α = 90o                                turbulence for
                                                                                                   α = 60o and
                                                                                                   α = 90o




  α = 120o
Adil RASHEED, Karstein SØrli                                α = 300o                            SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology                  Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport


Turbulent Kinetic Energy along the fly path




                                                                                                   Severe
  α = 60o                                                   α = 90o                                turbulence for
                                                                                                   α = 60o and
                                                                                                   α = 90o




  α = 120o                                                  α = 300o
Adil RASHEED, Karstein SØrli                                                                    SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport
               √
Alta:              K = 3 contours for free stream wind speed of 30m/s




    α = 60o                                                          α = 120o




    α = 90o                                                          α = 300o
Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport


Alta: Effects of Stratification




    Ua = 10m/s, Fr = 1.0                                             Ua = 18m/s, Fr = 1.8




    Ua = 15m/s, Fr = 1.5                                             Ua = 20m/s, Fr = 2.0
Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport


Alta: Effects of Stratification and Komsa hill




    Ua = 10m/s, Fr = 1.0                                             Ua = 15m/s, Fr = 1.5

Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety
Motivation                         Methodology              Real application: Forecasting       Special Analysis: Alta Airport



Alta Airport


Thank you




         Do not be afraid: WECOME to Norway :)




Adil RASHEED, Karstein SØrli                                                                SINTEF ICT Applied Mathematics
Terrain Induced Turbulence Prediction for Aviation Safety

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Terrain-Induce Turbulence Prediction for Aviation Safety

  • 1. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Terrain Induced Turbulence Prediction for Aviation Safety Adil RASHEED, Karstein SØrli Applied Mathematics SINTEF ICT adil.rasheed@sintef.no June 29, 2010 Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 2. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Outline 1 Motivation 2 Methodology Theory 3 Real application: Forecasting Nesting Validation 4 Special Analysis: Alta Airport Haugesund Airport Kristiansund Airport Alta Airport Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 3. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Incidents and accidents On 11 March 1982, Widerøe Flight 933, operated by the Twin Otter LN-BNK ˚ crashed into the Barents Sea near Gamvik, on route from Berlevag Airport to Mehamn Airport. All investigations have concluded that the crash resulted from structural failure of the aircraft’s tail caused by severe clear-air turbulence. On 12 April 1990, Widerøe Flight 839, operated by a Twin Otter, crashed into the seas one minute after take-off from Værøy Airport, killing all five on board. The cause of the crash had been strong and unpredictable wind gusts during take-off, which had exceeded the plane’s limits and created a break-up in the plane’s tail rudder, so the plane became uncontrollable. Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 4. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Hammerfest Airport: 1 May 2005 On 1 May 2005, the Widerøe Dash-8-100 airplane LN-WIK was buffeted by strong winds upon landing, and the landing gear on the right wing collapsed. While several passengers sustained injuries, there were no fatalities in the incident, but the Norwegian Civil Aviation Authority imposed the strictest wind regulations in Norway upon the airport. Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 5. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Amsterdam, Geneva, Paris, Frankfurt Flat terrain Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 6. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Norwegian airports Characterized by fjords, hills, mountains, valleys resulting in rotors, mountain waves etc. ... Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 7. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Theory Governing Equations · (ρs u) = 0 (1) Du pd θd 1 =− +g + ·R+f (2) Dt ρs θs ρs Dθ = · (γT θ) + q (3) Dt DK = · (νT K ) + Pk + Gθ − (4) Dt D νT 2 = · + (C1 Pk + C3 Gθ ) − C2 (5) Dt σe k k SIMRA: Semi IMplicit Reynolds Averaged Structured version for forecasting Unstructured version for special analysis Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 8. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Theory Boundary Conditions (for special analysis) 4000 3000 u∗ z z z(m) 2000 u0 (z) = ln +W (6) κ z0 D −1/2 2 z 1000 K (z) = Cµ u∗ 1− (7) D 0 270 275 280 285 290 potential temperature (K) Potential temperature profile for Stable Stratification For forecasting: Nesting with Bigger scale model (UM1) Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 9. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Theory Terrain induced shear du dx du dz 1 L= C ρ (|U 2 L inf − Vp |)2 Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 10. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Theory Effect of horizontal and vertical shear Horizontal shear Vertical shear Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 11. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Theory Safety Analysis f c ∂u w c w f F =− + =− [u(x + f /2 − u(x − f /2)t] + (8) g ∂x c g f c 1/2 1/3 1/3 (Cµ K )3/2 −1/3 ≈ ≈ 0.67K 1/2 t (9) t c is the fly path, g gravitational acceleration u is the wind component along the fly path, w vertical wind component, turbulent dissipation, K turbulent kinetic energy t turbulent length scale f minimum response distance for landing configuration and is of the order of ∼ 500 m, Prevalence of the two conditions F < −0.1 and 1/3 > 0.5 m2/3 s −1 correnspond to severe turbulence for commercial aircrafts and √ represent potential danger. These conditions are easily met when K > 3 ms−1 . Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 12. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Nesting Nesting: HIRLAM12− > HIRLAM8− > UM4− > UM1− > SIMRA Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 13. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Brønnøysund Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 14. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Evenes Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 15. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Fordes Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 16. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Hammerfast Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 17. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation ˚ Honnigsvag Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 18. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Mosjøen Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 19. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Ørsta-Volda Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 20. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Narvik Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 21. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Sandane Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 22. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Værnes Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 23. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Validation Right tool for the right job So ... Downscaling does not always work. Use an appropriate model to resolve interesting scales Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 24. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Haugesund Airport Haugesund Airport Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 25. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Haugesund Airport Special Analysis: Haugesund airport Located on the west side of the island and municipality of Karmøy, southwest of Haugesund. Operated by Avinor since 1975 Scandinavian Airlines, Norwegian Air Shuttle. Runway dimension: 2120 m × 45 m. Elevation of 86 m above mean sea level The airport had 514, 947 passengers in 2007 Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 26. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Haugesund Airport Haugesund: Windrose Spring Autumn Summer Winter The airport is not bothered by intense turbulence. Uneven side wind from the SSW and sometimes from the north, with strength 13m/s or more, can provide turbulent conditions on the final Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 27. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Haugesund Airport Haugesund: Terrain and Mesh Terrain in the vicinity of the Haugesund 300 × 300 times 40 mesh airport Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 28. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Haugesund Airport √ K = 3 contours for free stream velocity of 30 m/s No potential danger. α = 60o α = 90o Turbulent zones are located far away from the airport. α = 120o α = 150o Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 29. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Haugesund Airport √ K contour along the fly path α = 60o α = 90o α = 120o α = 150o Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 30. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Haugesund Airport √ Haugesund: K contours and velocity field projected on the cone containing the gliding path for a free stream velocity of 20 m/s α = 60o α = 120o α = 90o Adil RASHEED, Karstein SØrli α = 150o SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 31. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Kristiansund Airport Kristiansand Airport Braathens SAFE Boeing after landing accident 1977-10-31 Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 32. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Kristiansund Airport Sample Application: Kristiansand Airport (Kjevik) Situated 4.3 NM (8.0 km) north-east of the city Kristiansand, Vest-Agder in southern Norway The airport serves the Agder district with domestic and international flights. The airport is operated by Avinor. Surrounded by water on three sides and hills on the fourth Vigorous turbulence is experienced for Northwesterly wind Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 33. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Kristiansund Airport Kjevik: Mesh and Terrain β β is the gliding angle 300 × 300 × 40 mesh Resolution: 50 − 200 m Domain size:30 km × 30 km × 3 km Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 34. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Kristiansund Airport Turbulent Kinetic Energy along the surface of the cone Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 35. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Kristiansund Airport 3-D Velocity Field for α = 240o Flow channelizes through the valleys Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 36. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Kristiansund Airport 3-D Velocity Field for α = 320o Flow ascends up the mountain Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 37. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Kristiansund Airport √ 3-D K contours for α = 320o Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 38. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Kristiansund Airport √ 3-D K contours for α = 320o These plots are for free stream velocity of 20 m/s √ K scales with this velocity Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 39. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Alta Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 40. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Special Analysis: Alta airport Situated 4km northeast of the town center of Alta on a plain where Alta River flows in the fjord 2, 088 m long runway Operated by Avinor. 334, 132 passengers served in 2009 (busiest in Finnmark) Provision for wind and turbulence measurement on Komsa hill (200m) SAS, Norwegian Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 41. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Alta: Terrain For 20 − 25m/s wind speed strong turbulence is experienced. Wind from SSW to NW is most problematic. Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 42. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Alta: Windrose Spring Autumn Winter Summer Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 43. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Alta: Terrain and Mesh Terrain in the vicinity of Alta airport and gliding plane 300 × 300 times 40 mesh Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 44. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Turbulent Kinetic Energy along the surface of the cone Severe α = 60o α = 90o turbulence for α = 60o and α = 90o α = 120o Adil RASHEED, Karstein SØrli α = 300o SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 45. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Turbulent Kinetic Energy along the fly path Severe α = 60o α = 90o turbulence for α = 60o and α = 90o α = 120o α = 300o Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 46. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport √ Alta: K = 3 contours for free stream wind speed of 30m/s α = 60o α = 120o α = 90o α = 300o Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 47. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Alta: Effects of Stratification Ua = 10m/s, Fr = 1.0 Ua = 18m/s, Fr = 1.8 Ua = 15m/s, Fr = 1.5 Ua = 20m/s, Fr = 2.0 Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 48. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Alta: Effects of Stratification and Komsa hill Ua = 10m/s, Fr = 1.0 Ua = 15m/s, Fr = 1.5 Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety
  • 49. Motivation Methodology Real application: Forecasting Special Analysis: Alta Airport Alta Airport Thank you Do not be afraid: WECOME to Norway :) Adil RASHEED, Karstein SØrli SINTEF ICT Applied Mathematics Terrain Induced Turbulence Prediction for Aviation Safety