time-dependent mountain waves and their interactions with large scales chen, c.-c., d. durran and g....

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Time-Dependent Mountain Waves and Their Interactions with Large Scales Chen, C.-C., D. Durran and G. Hakim Department of Atmospheric Sci ences University of Washington

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Time-Dependent Mountain Waves and Their Interactions with Large Scales

Chen, C.-C., D. Durran and G. Hakim

Department of Atmospheric SciencesUniversity of Washington

The Goal

Follow mountain-wave evolution in a realistic, but simple time-varying large-scale flow.• Avoid artificial initialization• Capture the decaying phase of the waves

Examine feedback of the waves on the large-scale flow.

The Simulations

Numerical model• Boussinesq (“compressible,” nonhydrostatic)• f-plane• Terrain-following coordinates• Gravity-wave absorbing upper boundary• Parameterized subgrid-scale mixing• Multiply nested grids

The Nested Grids

x1 = y1 = 27 km

x2 = y2 = 9 km

x3 = y3 = 3 km

z = 150~500 m

half width a = 12.5 km

aspect ratio = 3

Initial Condition Ingredients

Square wave in streamfunction plus a mean flow

Doubly periodic

x =y=2700 km

Initial Streamfunction

Mean wind 7.5 m/s

0 < local u < 15 m/s

Period = 100 hrs

(~4 days)

Constant N

(2/3 < Nh/u < )

w & velocity vector @ 5km (x-y plane)

w & velocity vector @ 5km (x-y plane)

w & theta & turbulent mixing coefficient (x-z cross-section)

w & theta & turbulent mixing coefficient (x-z cross-section)

relative vorticity & velocity vector at surface

relative vorticity & velocity vector at surface

PV @ 295K ~ 2.5km at t = 55 hrs

PV @ 295K

PV @ 295K

PV @ 295K, t = 0

PV @ 295K, t =100hrs

Summary—Near Mountain Flow

Near mountain evolution• Flow-around to flow-over to flow-around• Low-level blocking• Lee vortex generation and shedding• Wave breaking• Quasi-linear waves

Acceleration phase not mirror image of deceleration phase (period is 4 days)

Summary—Scale Interaction

Localized dissipation creates PV dipoles in the lee of the barrier

Adiabatic interactions with the larger scale PV creates significant synoptic-scale anomalies

More analysis is on the way!