Simulations of tidal currents in the Tjeldsund Ramsund channels p.1/17
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1 Simulations of tidal currents in the Tjeldsund Ramsund channels Ocean Modelling januar 2005 B. Gjevik, Karina Hjelmervik, A. Ommundsen Department of Mathematics, University of Oslo (UiO), Defence Research Establishment (FFI), Kjeller Simulations of tidal currents in the Tjeldsund Ramsund channels p.1/17
2 The Tjeldsund-Ramsund project Model development and simulations (UiO, FFI) Simulations of tidal currents in the Tjeldsund Ramsund channels p.2/17
3 The Tjeldsund-Ramsund project Model development and simulations (UiO, FFI) Bathymetry and sea level measurements (Sjøkartverket, SKV) Simulations of tidal currents in the Tjeldsund Ramsund channels p.2/17
4 The Tjeldsund-Ramsund project Model development and simulations (UiO, FFI) Bathymetry and sea level measurements (Sjøkartverket, SKV) Current measurements (FFI, SKV, UiO) Simulations of tidal currents in the Tjeldsund Ramsund channels p.2/17
5 Depth integrated equations U t + x (U2 H )+ y (UV H ) fv = gh η x c D U 2 + V 2 H U H +B x V t + x (UV H )+ 2 y (V η )+fu = gh H y c D U 2 + V 2 H V H +B y (U, V ) horizontal volume fluxes H = H 0 + η Depth (undisturbed + displacement) c D bottom friction coefficient (B x, B y ) horizontal eddy-viskositet (Smagorinski) g acceleration of gravity f Coriolis parameter Simulations of tidal currents in the Tjeldsund Ramsund channels p.3/17
6 Turbulence model (LES) Smagorinskis B x = ν 2 U, B y = ν 2 V ν = ql 2 [( u x ) ( u y + v x )2 + ( v y )2 ] 1 2 where depth mean current u = U H, v = V H Simulations of tidal currents in the Tjeldsund Ramsund channels p.4/17
7 Numerics Finite difference Simulations of tidal currents in the Tjeldsund Ramsund channels p.5/17
8 Numerics Finite difference Centered differences on a C-grid Simulations of tidal currents in the Tjeldsund Ramsund channels p.5/17
9 Numerics Finite difference Centered differences on a C-grid Semi-implisit (second order) Simulations of tidal currents in the Tjeldsund Ramsund channels p.5/17
10 Numerics Finite difference Centered differences on a C-grid Semi-implisit (second order) FRS at open boundaries Simulations of tidal currents in the Tjeldsund Ramsund channels p.5/17
11 Numerics Finite difference Centered differences on a C-grid Semi-implisit (second order) FRS at open boundaries Spesial treatment of non-linear advection terms Simulations of tidal currents in the Tjeldsund Ramsund channels p.5/17
12 Large model for Lofoten (M 2 ) T Bodø 62 A H N x = 500 m Sea level (cm) Stations Obs. Mod. Bodø Narvik Kabelvåg Tangstad Harstad Andenes land Simulations of tidal currents in the Tjeldsund Ramsund channels p.6/17
13 Tjeldsund model domains Hinnøya Evenskjæ r Narvik x= m Tjeldøya entire land 0 subsection Simulations of tidal currents in the Tjeldsund Ramsund channels p.7/17 land
14 FLOOD CURRENT EAST OF TJELDØYA Fjelldal Fjelldal Linear (run00) Non-linear (run96) m/s Simulations of tidal currents in the Tjeldsund Ramsund 0.5 channels m/s p.8/17
15 FLOOD CURRENT EAST OF TJELDØYA Fjelldal Fjelldal Non-linear (run32) Non-linear (run91) m/s Simulations of tidal currents in the Tjeldsund Ramsund 0.5 channels m/s p.9/17
16 FLOOD CURRENT EAST OF TJELDØYA Fjelldal Fjelldal Non-linear (run11) Non-linear (run92) m/s Simulations of tidal currents in the Tjeldsund Ramsund0.5 channels m/s p.10/17
17 FLOOD CURRENT NEAR TJELDSUNDBRUA Tjeldsund bru 26.0 Tjeldsund bru Linear (run00) Non-linear (run96) m/s Simulations of tidal currents in the Tjeldsund Ramsund channels 0.5 m/s p.11/17
18 FLOOD CURRENT NEAR TJELDSUNDBRUA Tjeldsund bru 26.0 Tjeldsund bru Non-linear (run32) Non-linear (run91) m/s Simulations of tidal currents in the Tjeldsund Ramsund channels 0.5 m/s p.12/17
19 FLOOD CURRENT NEAR TJELDSUNDBRUA Tjeldsund bru 26.0 Tjeldsund bru Non-linear (run11) Non-linear (run92) m/s Simulations of tidal currents in the Tjeldsund Ramsund channels 0.5 m/s p.13/17
20 Harmonic analysis (station 19, run92) Current (m/s) Time (hours) M 2 =31.4 M 4 =6.6 M 6 =6.0 M 8 =4.0 cm/s Simulations of tidal currents in the Tjeldsund Ramsund channels p.14/17
21 Sea level measurements (Lynge 2004) January-February Residuals (observed water level tidal prediction) February 2004 Lødingen Fjelldal Evenskjær Harstad Residuals (observed water level tidal prediction) 4. February 2004 Lødingen Fjelldal Evenskjær Harstad Residual [cm] 20 Residual [cm] /02 05/02 06/02 07/02 Date 5 00:00 03:00 06:00 09:00 12:00 15:00 18:00 21:00 00:00 Time Simulations of tidal currents in the Tjeldsund Ramsund channels p.15/17
22 Current measurements November 2004-March St4 20 St1 St St land Simulations of tidal currents in the Tjeldsund Ramsund channels p.16/17
23 Future work More testing of the new implementation of the non-linear advective Simulations of tidal currents in the Tjeldsund Ramsund channels p.17/17
24 Future work More testing of the new implementation of the non-linear advective Improved depth matrix needed Simulations of tidal currents in the Tjeldsund Ramsund channels p.17/17
25 Future work More testing of the new implementation of the non-linear advective Improved depth matrix needed Comparison with current data Simulations of tidal currents in the Tjeldsund Ramsund channels p.17/17
26 Future work More testing of the new implementation of the non-linear advective Improved depth matrix needed Comparison with current data Dissemination of model results to users Simulations of tidal currents in the Tjeldsund Ramsund channels p.17/17
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