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Airflow over and around hills and mountains. Haraldur Ólafsson University of Iceland Icelandic Meteorological Office haraldur@vedur.is. WHY INTERESTING FOR FORECASTERS?. STATISTICAL PRODUCTS EXPERIENCE / PHYSICAL INSIGHT. LOGICAL OROGRAPHIC WINDS ARE IN
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Airflow over and around hills and mountains Haraldur Ólafsson University of Iceland Icelandic Meteorological Office haraldur@vedur.is
WHY INTERESTING FOR FORECASTERS? • STATISTICAL PRODUCTS • EXPERIENCE / PHYSICAL INSIGHT LOGICAL OROGRAPHIC WINDS ARE IN GENERAL POORLY OR NOT AT ALL RESOLVED BY THR NWP MODELS FORECASTERS MUST RELY ON
Key non-dimensional number Nh/U (Non-dimensional mountain height or inverse Froude nember) N={g/T ∂T/∂z } ½ Brunt-Väisälä frequency or stability N is often 10 -2 s -1 h : mountain height u : upstream wind speed U h Flow over mountains
What is Nh/U? • Non-dimensional wavelenght • Potential energy / kinetic energy Next slides: Flow with Nh/U = 0 Flow with 0 < Nh/U < 1 Flow with Nh/U >1.5
NEUTRAL FLOWS (OVER HILLS)Nh/u=0 GENTLE SLOPES STEEP SLOPES U/UO U/UO Boundary-layer separation STREAMLINES STREAMLINES
WIND SPEED IN MOUNTAIN WAVES ρn-5 ρn-2 ρn Umax where the air descends Nh/u > 0
UMAX Z Nh/U = 0 UMIN UMIN NEUTRAL FLOW (HILLS) T Nh/U > 0 UMIN UMAX Z T STABLE FLOW (MOUNTAINS)
FLOW OVER MOUNTAINS { Nh/U } > { Nh/U } C { Nh/U } C = (mountain shape,∂/∂ z (U,N),...) ≈ 1.5 => Blocked flows FAST Dense Air SLOW WAKE SLOW L H L BLOCKING B = ½ ρ u2 + P + gρz = constant In blocking: P ↑ => U ↓
For L<100 km (Ro>1) Corner wind DV/dt =1/ρVP-fV + F H L Gap wind L H Tip jet / corner wind
Two examples of simulated wind in the vicinity of Reykjavík • Weak ENE • Strong NE
Eastnortheasterly winds in Reykjavík – moderate wind speed (ca. 6 m/s) Nh/U ~2.0 Veðurstofa
Eastnortheasterly winds in Reykjavík – moderate wind speed (ca. 6 m/s) Nh/u ~0.5 Veðurstofa
If the airmass is stable almost all the time and mountain (gravity) waves form in a stable airmass that impinges a mountain why are there not strong waves all the time?
Surface friction is wave-destructive! No surface friction Surface friction
Isentropes in two numerical simulations (K) Very amplified waves Little wave activity in the troposphere A stable layer
Impact of scale / the Coriolis force Ro = U/fL U : upstream wind speed f : the Coriolis parameter L : length scale If L = 100 km, U = 10 ms-1 and f = 10-4 s-1 Ro = 1 => Significant impact of the Coriolis force on the flow very fast deceleration fast Ro = 1: L L H slow less deceleration fast
The mountain wind forecasting diagram Red=speed upBlue=slow down T 10 Ro=U/fL 1 0.1 0.1 1 10 ĥ=Nh/U