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Annals rif Gla cio /vg)! 25 1997 L Int erna ti onal Glaciol og ical Socicty Ocean-sea-ice coupling in a global ocean general circulation model S. L EGU TKE,I E. MAI E R-R E IMER/ A. STOS SEL,3 A. HE LLBACH I IDell / seli es Klimareeli enz.ent ru m, Bll ll rless/rasse 55, D-20N6 Hamblll g, GemwlO' j \! a. \-P/al/k -J ns /i/lItjl ir JJe/eor%gie, RlIl/rless/msse 55, D- 201-l 6 flamblllg, :1 Te ras A & /11 University, De/)({rtme nt qf Gaa l/ ogm/)/o), T eeS', Co ll ege Stat ion, TX 77843 -3 /4 6, Us.. L ABSTRACT. A global ocea n genera l circ ul at ion mo del has been coupled with a dyna- mic- th ermodynamic sea-ice mode l. Thi s model has been s pun-up in a LOOO year int egra- ti on using da il y a tm os ph ere model dat a. wa ter masses a nd c urr ents arc r ep rodu ced as we ll as th e seasonal characteristi cs of th e ice cm'e r of the No rth ern and Southe rn H emi- spher es. Model r es ults for the Southern O cea n, howc\'cr, show the ice co\' er as too thin , and th ere are large perm anent polynyas in thc \ \'c ddc ll a nd Ross Scas. Th ese polynyas are due to a large upward ocea nic hea t nu x ca used by haline rejec ti on durin g the freezing of sea ice. Sensiti\'it y studi es were pe rf ormed to t es t se\ 'C ral ways of tr ea ting the sea-sUlface salinity and rhe rejected brin e. Th e imp act on th e ice cO\'er, wa ter-mass charact er isti cs, and ocea n ci rc ul ation arc described. INTRODUCTION Th e H a mbLII 'g O cea n Pri mitivc Equa ti on ( HOPE ) model has already been used in coupled ocea n-atm os phere cxpe ri- me nt s im'es ti gating cqu atorial and low-latitude dynamics on a dec ad al time sca le (e.g. L a ti fa nd o th er s, 1994). In th ese exp e rim e nt s, sea-s urf ace te mp era tur e (SST ) a nd sea - s urf ace sa linit y (SSS) arc relaxed to climarol og ica l data at high latitud es. At these latitud es, howevcr, water masses a rc fo rmed that ventilate thc decp ocea n. Sinec the sea-i ce cover efl ecti\'ely modifi es th e momc ntum , hea t and fr es h- water exchange between the atm os ph ere and th e ocea n, it should be acco unt ed for in the coupled atm os phere ocea n models th at will be used in long-t erm integr at ions of th e climate system. In order to a ll ow the HOPE model to beco me a co mp o- nent in a coupled ocea n- atmosphere model for stud ying climat e, it has been coupled to a prognos ti c dynami c- therm odynamic sea-ice model. Th e sea-ice cO\'er of a 1000 year spin-up experim ent is descr ib ed in th e thir d sec ti o n. In general, the perfo rm ance of the model is sa ti sfactory. In the Southern O cea n, howe\ 'C r, the ice co\ 'C r predicted by the mod el is too thin a nd th e minimum ice extent is too sma ll. Thi s is due to exccss ive upward ocea nic hea t flu x oc- c urr ing dur ing th e co nvec ti w adjustmcnt or hydr os ta ti cally un sta bl e wa ter co lumn s. Th e sta ti c stability of th e upp er ocean in ice regions depends on the verti ca l dislribution of sa lt , whi ch is str ongly influenced by haline rejec ti on durin g ice fo rm a ti on. Beca use of the l ac k of re li able fr es h- wa ter nux data, and in order to pre\'C nt the ocea n model drifti ng into an unr ea li sti c c li matc scenari o, global ocea n models arc fr e- qu emly dri\ 'C n with salt or fr es h-water flux deri\ 'Cd fr om re- laxin g SSS to obsel'\'ed data. In coupled ice o cea n m od el s, th is might seriously a IT ee tthe sa lt flu x by haline rej ec ti on at the i ce-ocea n interf ace. fn th e fo urth section, th e innu ence of diff erent tr ea tme I1l S of SSS a nd rejected brin e on thc ice 11 6 cover, watcr mass charact er isti cs, and cir cula ti on 111 thc So uth ern O cea n arc describcd. M ODEL D ESCRIPT ION Deta il s about th e numerical fo rmul a ti on of the ocea n and ice model arc given in a techni ca l repo rt (Wolff and o th er s, 1997). Th e ocea n model is based on primiti\ 'C equ a ti ons that arc di se retised on a spherical global grid. Th e non-lin ear equ a ti ons arc solved on 20 une\ 'e nly spaccd horizo nt al lcyel s. Th e level separa ti ons incr ease with depth (10 levels in the upp er 25 0 m) in order to gi\ 'e a b ette r rcpr ese n ta ti on of the more \'a ri able upp er ocean . Th e first layer has a thick- ness o f 20 m. Since the heig ht or th e deep es t box in each colu mn ca n be adjusted so that th e s um of th e heig ht of a ll mT rlying boxes cqu a ls th e lo ta l wa t er de pth , th e re prese nt a- t ion of bottom top og ra phy depends on the horizon ta l resolu- ti on of the model grid o nl y. Fo r th e h o ri zo nt a l di sc re ti sa ti on, a st agge red grid (Ar akawa-E) is used with a 2.8 zonal and meridional g ridp oint distance in mid and high la ti tud es. T hi s co rr es ponds to the grid of th e atmos ph ere model that pl'Oduced the forcing data. ] 0 be able to in\'es ti ga te na tur al \'a ri ability in th e Equator ial ocea n, howe\ 'e r, the ocea n model resolution is incr eased in low la titud es . Th e meridio- nal g ridp oint separation dccreases equatorward of 30° north and so uth , reac hin g its minimum of 0.5 at 10 no rth and so uth. Pr og nos ti c \'ariablcs of th e ocea n model arc po- tential te mpcr a tll r c, salin it y, horizolllal \Tloci li es and sea- s urf ace eln·a ti on. Potential de nsity is co mput ed wi th the non-lin ear UN E SC O fo rmul a, a nd \ 'C rli ca l \ 'c1oc it y is ca l- culated fr om the inco mpr essibility equ a ti on for sea wate r. Sub-gridscale mi xing is p ara meterised by ho ri zon ta l ha r- mo ni c d iffusion terms with the coe fTi cien ts d epe nding on the horizonlal \ 'C loeit y sh ea r. Verti ca l \'iscosity a nd diffusi\'- ity depend on th e local Richard so n numb e r. In cases o fh y- dr os ta ti ca ll y un sta bl e str a tifi ca ti on, "co l1\ 'Cc ti\'e acU ustl11 ent"
Transcript
Page 1: Ocean-sea-ice coupling in a global ocean general ... · Ocean-sea-ice coupling in a global ocean general circulation model ... heat nux caused by haline rejection during the ... be

Annals rifGlacio/vg)! 25 1997 L Internationa l Glac iologica l Socicty

Ocean-sea-ice coupling in a global ocean general circulation model

S. L EGUTKE,I E. MAIE R-REIMER/ A. STOSSEL,3 A. H E LLBACHI

IDell /seli es Klimareelienz.entrum, Bll ll rless/rasse 55, D-20N6 Hamblllg, GemwlO' ~ j\!a.\-P/al/k-Jns/i/lItjlir JJe/eor%gie, RlIl/rless/msse 55, D-201-l6 flamblllg, C;eTl1zal~Y

:1 Te ras A & /11 University, De/)({rtment qf Gaal/ogm/)/o), TeeS', College Station, TX 77843-3/46, Us.. L

ABSTRACT. A globa l ocean ge neral circul at ion model has been coupled with a dyna­mic- thermodynamic sea-ice model. This model has been spun-up in a LOOO year integra­ti on using da il y atmosphere model data. ~[ain water masses and currents a rc reproduced as well as the seasonal cha racte ristics of th e ice cm'er of the Northern a nd Southern H emi­spheres. Model res ults fo r the Southern O cean, howc\'c r, show the ice co\'er as too thin, and there a re la rge permanent polynyas in thc \ \'cddcll a nd Ross Scas. Th ese po lynyas a re due to a large upward oceanic heat nu x caused by ha line rej ecti on during the freezing of sea ice. Sensiti\'it y studies were performed to tes t se\'C ral ways of treating the sea-sUlface sa linit y and rhe rej ected brine. The impac t on the ice cO\'er, water-mass cha rac teristics, and ocea n ci rcul ation a rc desc ribed.

INTRODUCTION

Th e H a mbLII'g O cean Pri miti vc Equation (HOPE ) model has a lready been used in coupled ocean-atmosphere cxpe ri­ments im'estiga ting cquatorial a nd low-latitude d ynamics on a decada l time scale (e.g. L a ti fa nd others, 1994). In these

experiments, sea-surface tempera ture (SST) a nd sea­surface salinity (SSS ) a rc rel axed to clima rological data at high latitudes. At these latitudes, howevcr, water masses a rc formed th at ventil ate thc decp ocean. Sinec the sea-i ce cover eflec ti\'el y modifi es the momcntum, heat and fresh­water exchange between the atmosphere a nd the ocean, it

should be acco unted for in the coupled atmosphere ocean models that will be used in long-term integrations of the clim ate system.

In order to a llow the HOPE model to become a compo­nent in a coupled ocea n- atmosphere model for stud ying clim ate, it has been coupled to a prog nostic dynamic­thermodynamic sea-ice model. The sea-ice cO\'er of a 1000 yea r spin-up experiment is descr ibed in the third sec ti on. In ge nera l, th e perfo rmance of the model is sa ti sfactory. In the Southern O cean, howe\'C r, the ice co\'C r predicted by the model is too thin and the minimum ice extent is too sma ll. This is due to exccssive upward oceanic heat flu x oc­curring during the convectiw adjustmcnt or hydrostatically unstable water columns. The static stability of the upper ocea n in ice regions depends on the vertica l di slr ibution of sa lt , which is strongly influenced by haline rej ection during ice formation. Because of the lack of re li able fresh-water nu x data, a nd in o rder to pre\'Cnt the ocean model drifti ng into a n unreali stic cli matc scena rio, g loba l ocean models a rc fre­queml y dri\ 'C n with sa lt or fresh-water flu x deri\'Cd from re­laxing SSS to obsel'\'ed da ta . In coupled ice ocean model s, th is might se riously a ITee tthe sa lt flu x by ha line rej ec ti on at the ice-ocean interface. fn the fo urth section, the innuence of different treatmeI1lS of SSS a nd rejected brine on thc ice

11 6

cover, watcr mass cha rac teristics, a nd circulati on 111 thc

Southern O cean a rc desc ribcd.

M ODEL DESCR IPT ION

Deta il s a bout the numerica l formula ti on of the ocean and

ice model a rc given in a technical report (Wolff and others, 1997). The ocean model is based on primiti\ 'C equations th at a rc di se retised on a spherica l g loba l g rid. The non-linear equa ti ons a rc so lved on 20 une\'enl y sp accd horizonta l lcyel s. The level separa tions increase with depth (10 leve ls in the upper 250 m ) in order to g i\ 'e a bette r rcpresentati on of the more \'ariable upper ocean. The first layer has a thick­ness o f 20 m. Since the height or the deepest box in each column can be adjusted so tha t the sum of the height of a ll mTrlying boxes cqua ls the lo ta l wa ter depth, the representa­t ion of bottom topography dep ends on the hori zontal resolu­ti on of the model g rid onl y. Fo r the h ori zo nta l discreti sati on,

a staggered g rid (Arakawa-E) is used with a 2.8 zona l and meridiona l g ridpoint dista nce in mid a nd high lati tudes. T hi s co rresponds to the g rid of the a tmosphere model th at pl'Oduced the forcing data. ] 0 be able to in\'es tigate natura l \'a ri abilit y in the Equatoria l ocean, howe\'e r, the ocean model reso lution is increased in low latitudes. The merid io­

na l g ridpoint sepa ration dcc reases eq uato rwa rd of 30° north and south, reaching its minimum of 0.5 at 10 north and south . Prognos tic \'a riablcs of the ocean model a rc po­tentia l tempcratll rc, salin i t y, hori zolll a l \Tloci lies and sea­surface eln·ation. Potenti al density is computed wi th the non-linear UNESCO formula, a nd \'C rlical \'c1oc it y is ca l­

culated from the incompressibility equation for sea wa ter. Sub-g ridsca le mixing is parameteri sed by hori zonta l ha r­monic d iffusion terms with the coefTi cients depend ing on the horizonla l \'Cloeit y shea r. Vertical \'iscosity a nd diffusi\ '­it y depend on the loca l Richa rd son number. In cases ofhy­drostatica ll y unstable stratificati on, "col1\'Cc ti\'e acU ustl11 ent "

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ta kes place (th at is, \'e rtica lly acUacent g ridboxes with un­stabl e stra tificati on a rc mixed ).

The d yna mic part of th e ice model is based on the Hibler (1979) sea-i ce d ynamics th a t a rc reformul a ted on th e ocean­model g rid (i, e, th e ice behaves like a viscous-plas tic ma teri­

a l \I'it h a n ellip ti c yield cunT), A 2-l ayer ice formu lat ion is

used for the d ynamics a nd th ermodyna mics, a nd in each g ridcellthin ice (open water) a nd thick ice ca n be presenl. Fo ll owing Pa rkinson a nd ' Vas hing ton (1979), ice g rowth a nd melt is ca leula ted from heat-budge t equ ati ons based on simple bulk fo rmul ae for th e turbul ent and radia tive hea t iluxes O\'er \\'a ter a nd ice, as desc ribed by Stossel a nd Owens (1992), A prognosti c snow laye r is a lso included,

The coupled model integra ti on was initi ali sed with the LC\· itus (1982) c lim atology, a nd with the ocea n a nd ice \'elociti es a t res l. The initi a l ice thickness was spec ifi ed to deCl'ease from 2 m a t the northernmost!southernmost ocea n

cell to 0 111 a t the la titude of th e obse l'\Td ice edge, A 1000

year integration has now been comp leted . It has been fo rced with a 15 yea r peri od of da il y da ta of ne t a tmos pheric heat nu x, 2 m tempera tures a nd dew points, clo ud iness, prec ipi­ta tion- eva pora ti o n, cO l1linenta l run off, a nd windstress. They we re p roduced by the ECHA~I + a tmosphere model, which was run with a 2,8 reso luti on a nd elim aLO logical SST

of th e Atmospheric M odel Intercompa ri son Proj ec t (A t-.llP) period (1979- 88) as lower boundary conditi ons, The ECH A1\14 model a nd its perform a nce arc described in C hen a nd Roeckner (1996), A running-mea n filter o f' \ 'arying leng th has been ap pli ed to th e first a nd las t 10 days of the 15 yea r period in order to eliminate sudd en changes of

the forcing when it is cyclicall y repea ted. In order to p revent the ocean ['rom drifting in LO a

clim ate sta te th at is different from the present, the SST is relaxed to th e monthl y A 1\,1 r P SST with a relaxa ti on con­stant of 40 \V!(m ~ K ) corres ponding to a time-scale of 2-1· days, T he a tmosphere model fresh-water nu x (P - E and r unoff)

is modifi ed by a n a mo unt tha t cha nges th e upper-ocean sa l i­niti es as if they we re relaxed to th e a nnu a l mea n of th e Le\'itus climato logy o n a 30 d time-sca le. This is o nl y a pplied o utside the ice region as defin ed by th e A MIP d ata, so tha t the salt nu xes caused by the freez ing a nd melting o f

sea ice a rc not d istu rbed,

Aftcr the 1000 yca r integrati on, thc modcl fi elds a rc a l­most c),c lo-sta tiona r y ( tha t is, th e drift of lewl mea n sa li­niti es is 0 (10 ~ ps u/ (100 a )), The ma in ocea ni c wa ter masses a nd eurrellls a rc reprod ueecL The Pac ific equ atori a l current system is shown in Leg utke a nd o th ers (1996), T he G ulf Stream, Kuroshio a nd Allla rcti c C ircumpola r

C urrent (ACC) have mean transports of 32,50 a nd 110 S\', respect ive ly. The m aximum O\'erturning tra nspo rt in the No rth Atl a ntic is 15 Sv of \\'hieh 10 S\· a re leaving a t 40 S, The Indi a n a nd Pac ifi c oceans a rc ve ntil a ted by 5 S\· each, which a rc nowing northwa rds in the deep layc rs from th e South ern O cea n, T hc Pac ific-Indi a n through now a mo un ts

to 13 S\ '; 12 S\· a rc entering th e South Atl anti c in th e Ag ulhas C urrent. These tra nspo rt values a rc consistent with obse r­\·a ti ons.

In ge nera l, the model ge nera tes da ta where the deep ocea n tends to be LOO fresh a nd too cold, a nd mea n le vel sa li­

nity a nd tempera ture a re 0,06 psu a nd O,c~ C below \'a lues

predicted by the Le\,itus climatology. In th e upper ocean, the er rors a re of th e same order but too wa rm a nd too saline, The g reates t errors occ ur in ocean ic mid-depths (0,27 psu ) d ue to p robl ems in represent ing accurately the Anta rctic

Leglltke and othfl's: Ocean sea -ice cOl/jlling in a GCI!

a nd North Pac ific Intermed iate \Vate r, tile sim ulated sa li­nity of\l ·hich is about 0.3 psutoo high,

SEA-ICE COVER OF THE LONG-TERM INTEGRATION

In thi s sec ti on, wc descr ibe th e ice cO\'er between the yea rs 1000- 1014 (mean of onc fo rcing period ) of th e spin- up r un. The computed 15 year mean seasona l cycle of :-\rct ic icc extent compa res reasonably wel l with obsen 'ati ons (Fig. I) a lthoug h th e winte r-i cc cx tent is Q\'e restim ated . Note. how­

e\Tr, th a t th e ice ex tent tends to be O\'Cres tim ated if it is computed from da ta <l\T raged O\'(' r a long period, a nd if there a rc regio ns where the positi on of the ice edge changes fro m yea r-to-yea r, In February, ice concentra ti o n is abo\'(' 95 u;() in th e ce l1l ral Arctic whil e in September, 5- 10'1., of the wa ter is free oC ice, Towa rds the coas t, the frac ti o n o f'

opcn wa ter increases ( thi s ca n be as high as 70 0;;) in the

K ara Sea ), OfT G reenl and a nd th e Canad ia n Archipelago, th e ice cQ\'C r remains compac t (>95'% ) all yea r due to ice converge nce (not shown ),

21~~~--~~~~--~~~--~

18 N 15 E 12

N

"0 9 .,... 6

3 O~~~~~--~~~~-r~~

1 2 3 4 5 6 7 8 9 10 11 12

, , ....... .. ......... ...... ... ..... ...... .... . . . . . . . . . . .

Months

Fig. /. Seasonal c.l'cle qfobserl'ed ( dashed line ) ondsimlllated (Jull line) ice extent qf the Northem alld SOl/them Hemi­sjJheres, T he observations are rejJroduced ji'Ol7l C{oersen alld

others (1992).

Thc model a lso shows the ice as too thick in no rt he rn Ba fTin Bay, which, a t least pa rti a ll y, ca n be a ttri buted to th e coarseness of a model grid tha t does not a ll ow fo r an appro­

pria te heat nu x from th e North Atl a nti c no r from th e centra l

Arcti c into this region, Regions of increased ice thickness a lso ex ist o(f G reenl a nd and th e Canad ia n Archipelago, whieh is consistent \I'ith obser vati ons. A second region of thick ice p redi cted by the model is fo und in the Eas t Siber­ian sector of th e ee I1l ra l Arctic, whi le thin ice is presel1l near the Ber ing Stra it a nd in the Beaufo rt and th e K ara Scas,

This di stribution is simil a r to that computed by Fl ato a nd Hi bler (1995) with obsen 'ed a tmos pheric-pressure ana lyses from 1979 to 1985,

\l ean upward oceanic heat nu x in the cent ral Arct ic is estim ated to be a bout 2 \\' m 2 (l\[aykut a nd Unte rste incr,

1971 ), w ith much higher \'a lucs (30 \\' m 2) in the Euras ia n

Bas in (Aagaa rd a nd G reisma n, 1975). T he modelled-a rca mean upwa rd heat nu x ill the ice region is 10- 25 \\' m 2

during the freez ing season (not show n), The Southern O cean winter-ice eX leI1l is in reaso nable

agrecment with obsernu ions, but in the other seasons it is

severcly underestima tcd (Fi g, I), Due to weaker strat ifica­ti on, the upwa rd heat nu x in the Southern Ocea n is muc h la rge r th an in the Arctic (Fig, 2), Annu a l mean hea t nu x es tim a tcs for the Southern O cean ice region a re aboul 30 \\' m 2 (Cordon, 1981), As in the A rct ic, th e cOl1yecti \T-

117

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Legulke and others: Ocean-sea-ice coujJling ill a COIl

200r-~--~----~------~~------------~

150

100

50

2 3 4 5 6 7 8 Months

9 10 11 12

Fig. 2. Seasonal c.ycle qflteatjZu>;es into the LljJjJerocealllayer in the ice region qf the Southern Hemisphere. COlZvective (u(jllstmen/ is tlzefllllli71e; vertical dijJllsion is the dot-dash line; upwelLing and horizontal advectioll and diffusion is the dolled line; atmosjJhere is the dashed line.

adjustment heat nu x is highes t in the freezing season. The

larges t \ 'a lues occur in the \Veddell and R oss Seas. This is

refl eCled by th e mean September ice concentrati on: in th e

easte rn pa rt of the Weddell Sea it is below 20%, while in

the Ross Sea , there is a la rge region with no ice a t a ll (Fig. 3). The mean September ice thickness is underestimated by

a factor of ~2 (not shown ).

\; '. :·0· ...... . . \ .. : ~";.,

' .. : ......

Fig. 3. Alean (years 1000- /0/-1) simulated ia concentration ill the Southern Hemis/Jhere ill SejJlembfl: C:ontollrlines are 0, 20, 40, 60. 80 and 90 % .

SENSITIVITY EXPERIMENTS

Since sa linity dominates potential density a t low temper­a tures, it is th e destabilisat ion of the upper ocea n by ha line rejection th a t causes the over turning, and is thus responsibl e

for the strong upward oceanic heat flux. This is dem on­

stra ted by the geographica l di stributi on of ice compactness

in a n ex p eriment where th e salt flu x during ice melting o r freezing was turned oIT (Fig. 4). The September ice cove r is shown to be compact a lmost eve r ywhere (except nea r Cape l\o rvegia at 0 E; in this area la rge oIT-shore polynyas a re

frequentl y observed ). This distribution rela tes much better

to observa tions (Gloersen a nd others, 1992). The freq uentl y

118

..... {) .......... ...

Fig. 4. M ean (years 76- 90) simulated ice concflItratioll !if exjJJ6 (no brine reLease) in the SOli them Hemisphere in Se/J ­tembn Con/our Lines are 0,20,40.60,80 and 90% .

obsen-cd regions of reduced ice concen trat ion o r open wate r adj ace nt to th e coas t, which were reproduced by the long­

term experiment described in the previous sec ti on, h owe\-cr,

a rc now miss ing. The ice is thicker th a n 60 cm in the region

where the ice co ncentra ti o n is abO\'e 80%, reaching \'alues of aboutlm nea r the coast and up to 2 m a t the cast coasts of the \\'edde ll a nd R oss Seas (not shown ).

In orde r to sce the impac t o f' other treatmen ts of the SSS

in use by ocean modell ers, we gradua ll y increased the

impact of brine release during freezing in several experi­

ments. In one expe riment (named expI2), SSS were relaxed

to elimatological values C\·e rywhere. In a second experi­nl.ent (exp ll ) th e sa linit y of sea ice was increased from 5 to 32 psu. A third experiment (exp09) relaxed the SSS 011 th e ice-free part of each g ridcelI on ly, while in a fo urth experi­

ment (exp05) SSS was not relaxed in the c1imatological ice

region a nd was run long-term. In a fiflh ex perimen t (explO) relaxation was not appli ed a t a ll whil e in th e las t exper iment (exp06) 30'% of the brine rel eased during fi'eezing was immediate ly transferred to lc\'e l 2 of the ocea ll model. After

abo ut 45 years of integra tion, the ice COW l' reached a nearly

cyclo-sta ti ona ry Sla te in a ll ex periments. In general, the ice

a rea decreased in the order the expe r iments are li sted above

(with the excepti on of ex p06) (Fig. 5). Thus, the more the brinc release beco l11 es important, the less ice was present. NOlle of the exper i ments, howcve r, realisticaJ Iy rep roduced thc' obse lTed summer ice a rea of a t least 2 x 1012 m ~ (Gloer­

sen a nd o th ers, 1992).

The ice a reas o f th e experiments a rc similar fi'om J a nu­a ry toJune with th e exce ption of exp lO (no relaxation). The ex per iments with no brine release. sa lty ice, and relaxation of SSS to elimatologies in a ll gridcclls a lso have simila r

values from July to D ecember. The upwa rd oceanic heat

Ouxes simu lated in the ex pe riment s are d isplayed in Figure

6. L a rge va lues co rrespond to small ice a reas. The experi­mem without SSS relaxati on (exp IO) has mean heat-nux values of more th a n 150 \\1 m ~ from April to September, which is far above obse rvat ional values. The salinity rel axa­tion equato rward of th e ice edge is necessa r y to keep the SSS

low th ere. This is proba bl y due to th e low ice production

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20

18

16

14

12

e xp05 e xp06 exp09 expl0 expll exp12 exp16

'1=10 N 8 ,...,----- .......

'0 6 " , .....

4

2

0 1 2 :3 4 5 6 7

Months 8 9 10 11

Fig. 5. l\Jeall (l'ears 76-90) s('asollal cycles qf ice area ill the S01lthern Hemisphere (gridbo\ area IJllIliijJlied ~)' cOlllpact ­lIess) qf the sensitil'i{)' e.ljJerilllenls. The eljJeriments are flj;lained in lite 1nl.

12

250r--------------------------------------,

200

150

50

exp05 e xp06 e xp09

--/ I

/

e xpl0 e xpl1

- -- -- -- ... , '\ ,

\ I ,

/ \

e xp12 exp16

/ ...... \ ~ ... :~~ ;~:-==-;:;,;..~~-~.:-:-. :::~. :::: , \

",-....... ' ~ .... ...... . ~

O~=-~--~--~--~--r_--r_--r_--r_--r_--·~~~,·~~ 1 2 :3 4 5 6 7 8 9 10 11 12

t.lonths

Fig. 6. J lean ()'ears 76-90) seasonal Ucle qfoceanic !tealflllr ~J' conceelive ac(j1lslll1enl ill Ille ice region qf the SOllthem Hemisphere. The e>ejJerimenls are nplailled in/he In-I.

near the coast tha t does no t p rO\' ide enoug h ice fo r me lting

furt her ofT5hore. O f course. the heat flu x is no t without influence o n th e

tem pe rat ures o f th e deep water m asses. ~Iea 11 tempera ture pro fi les o f the \ Vcddell and R oss Seas a rc shown in Fig u re 7.

None o f th e expe riments co uld reproduce the obse rved (fu ll

thick line ) pronounced temprralUre m aximum a t 800 m in

the " 'eddell Sea th ough exp OS, ex p06. a nd exp 09 di splay a wea k m ax imum at thi s Ic\'c /' The salt y-ice (do tted ), th c 110 -relaxation cxp e riment (short-l ong das hed ) a nd the no-brine cx periment (short dashed ) ha \"C their m ax im a locatcd too

1000 I

J , I

I

I I

'000

Weddell Sea

\ , '. , , \

'k ... / \ 1\; '. I : f ~ 1 : 1 / u / IF

-2 - I 0 Potential Temperature deg C

1000

2000 I

I

I I

JOOO I

Ross Seo

-2 -I 0 1 Potential Temperature deg C

Fig. 7 ,\iean (vears 76-90) tel1ljJeratllre Jmijiles ill lite /1 "cd­dell alld RoSJ Seas. Tlte colltollr sO'les corresjJond 10 the same erjJerimellls 5/101('11 in Fig. 5. T lte Ihick }idlline is deril'e~froll7 Ih e Leuitus climalology.

Legutke alld olhers: Oceall- sea -ice coujJling ill a (;(;,\/

hi gh in th e water co lumn. T he pro fil es are we ll-mixed dO\l'n to the bo tt om exce pt in ex pe r iments with sa linit y relaxati on in th e ice region (ex p09 a nd ex p I2), whe re the O\"Crturning

reac hed onl y 2000 m resu lt ing in second deep m axima. I n

th e Ross Sea, the p rofil es a rc be ller reprod uced, exce pt aga in in those expe riments with sa linit y relaxati on in th e ice region. Th e best fit is obta ined when 30% orthe rcj ected brine is im medi a tely t ra nsfCrreclto th e second m odel layer.

fn this case, less freq uent O\"Crl urning of th e fresh a nd cold

su rface \I'a ter resu lts in sa ltier a nd \I"a rmer deep water.

The influence of th e t reatment o r sss on th e streng th of the ACC is dem onstrated by the t ime se ri es ofnJ lume trans­ports in the Dra ke Passage (expOS a nd exp l2) (Fig. 8). A fte r a n initi a l decrease du r ing th e first 60 yea rs, th e time se ri es

a rc cyclo-sta ti ona ry, reflcrt ing th c repea ted a pplicati on of

the 15 years o f fo rcing d a ta. We sec a p ro no unced difference

be twee n the two tim e series in the strength of th r 15 yea r cycle. Obviously, on thi s time-sca le, th e therm oha li ne fo rcing o r th e circ ul a ti o n (\'ia brine re leasc a nd subsequent o\"C rturn­

ing ) throug h the so-call edJ E BAR Uo int E ffec t ofBaroc lin i­

(" it y a nd Bottom Rel icf) do m i na tes. T h is co nstitutes a

pos it ive fo rc ing o r th e ACe. La rge-sca le g loba l circula ti on

is. o f course, a lso infl uenced by th e SSS bo und a r y conditi on ( the m ore rigo ro us O\"Crlurning in th e So uth ern O cea n in ex pOS res ults in a g loba l mer id iona l ove rturn ing cell in th e dee p ocea n tha t is twice as st rong as that in expL2 (not shown )).

150~----------------------------------------_,

130

120

!-E 110

ID o 'P""

years

Fig. 8. Tillle series qfll7ontlz(), lI1ealll'O/lIl11f transports qftlte ACC in njJ03 (Ihilllille) al/d eljJ12 (tltick lille).

Som c m odell e rs use fres h-wa ter flu xes d iag nosed in pre­

\' ious ex periments with sa lin ity relaxati on to dri\ "C th eir

ocean (-sea-ice ) m odel. In o rder to assess the impact o f

a nnua l m ea n fres h-wa ter flu xes di agnosed with different treatments o f SSS, some of the ex per iments were co nt in lled to yea r L50 w ith the sa linit y-relaxa tion surface-bounda ry cond iti on replaced by th e 15 year mean fres h-wa ter flu x or

yea r: 76-90 as d iagnosed in the ex p eriments described

a bO\"C. W ith th e beginning of th e use o r time-consta nt

fres h-wa ter fo rcing, new intern a l time-scales o f a bout 30 yea rs come into p lay. T hey a rc superimposcd on th e L5 yea r a nd short-t erm flu ctua ti o ns fo rced by th e a tm os phere m ode l da ta with e\"(' n larger a mplitudes. The streng th oC the ACC

is strong ly corre la ted \\'ith the sea-i ce \ 'o lullle o n longer

time-sca les with th e la tter leading som e yea rs (no t shown ).

CONCLUSION

i\ co upled wo rl d-oceal1- sea-ice m ode l has bee n integra ted

fo r 1000 years fo rced by 15 years of d a ily a tm os phere m odel

11 9

Page 5: Ocean-sea-ice coupling in a global ocean general ... · Ocean-sea-ice coupling in a global ocean general circulation model ... heat nux caused by haline rejection during the ... be

Legu/ke and a/hers: Ocean- sea -ice coupling in a GCM

data. The observed mean state of the ocean is reasonably well reproduced, as is the ice cover of the Northern H emisphere.

I n the Southern H em isphere, however, the pred icted va lues show that the ice is too thin and the summer ice extel1l too small. This can be attributed to excessive ocean ic heat flu x by cOIl\·ec ti ve ac!iustment in the ice region caused by rej ection orbrine during the freezing of sea ice. Maninson (1990) has shown tha t with the temperature a nd salinity stratification in the Southern Ocean, open-ocean cOIl\·ec­tion acts as an upward pump of salt a nd heaL. This is a lso the case in our model with, howe\·er, open-ocean convection extending to the bottom. Ir~ on the other hand, we try to reduce the conveetive adjustment (e.g. by relaxing the SSS to the Le\·itus climatology, which induces a fresh-wa ter flux ), the deep ocean warms up excess ively. The upper 1000 2000 m become fresher tha n without relaxa tion due to the continuous flu x of fresh water and the reduced 0\"('1"­turning depth. In la rge-scale oeean models, which do not reso lve the water circul ation on the shelves adequately, there is no way of forming co ld high-sa linity shelf' water that is ass umed to mix with modified Atlantic water to form Ant­a rclic bot lom water. Nor is the heat consumption by ice­shelf me lting accounted f01". In order to prevent the deep­ocean temperatures from becoming too warm, other pro­

ccsses providing upwa rd heat Dux haye to be included. In our model, thi s is thc deep-reaching open-ocean convec tion with the demonstrated consequences for Sou thern Ocean sea IC C.

Some imprQ\·emellt of the results can be obta ined by a rtificia lly transferring some of the br ine into deeper layers simil a r to the approach used by Maier-Reimer and others (1993). \ Vith that admitted ly ad hoc pa rameterisation, the streng th of surface-to-boLlom overturning can be reduced without a rtificia l fresh-water flu xes. Cold and fresh surface water is less frequentl y mixed downward , a nd deep water becomes warmer and more saline. Thus the deep-water mass cha racteristics a re improved.

O bserved temperature and salinity profiles a re much better reproduced in the Ross Sea than in the Weddell Sea. This might indicate th at ope n-ocean cO Il\·ec tion is more important there. This is supported by observed ice concen­trations that a re less compact in the Ross Sea th an in the Weddell Sea. In add ition, the Ross Sea icc pack starts to open up early in the yea r (October) and is free of ice from December to l\1[a rch, at a time when to the eas t and the west

120

of the Ross Sea there is still ice present (sce Gloersen and others, 1992). Since rcliable fresh-water nu x data (precipita­tion and g lacier melting) in the Southern O cean are not ava il able, sa linity-relaxation boundary conditions are com­monl y used by modellers. NOl onl y the sea-ice cover, but a lso the streng th of the ACC and its flu ctuations seem to be very sensitive to the sa linity surface boundary conditions. This should be borne in mind when interpreting modell ed ACC and ice-cover variability.

REFERENCES

.-\ agaard, K. and P. Greisma n. 1975. Towards new mass a nd hea l budgel s for

lhe ArClic Ocean. J Geo/Jhy. Res., 80 (27).3821- 1827. Chen. C. -T. and E. Roeckncr. 1996. Valid " ti on of th e Earth rad iat ion bud­

ge t as simu lated by lht' p. l ax Pla nck Institute for ~[eleoro l ogy general circ ul a ti on model EC H A1',I+ using sa tellite obscn ·a tiom of the Earth Rad iation Budge t Experiment. J Crop/!)', . Res. , 101, +269 +287.

Fl aLO, G.1\ 1. a nd\\'. D. Hiblcr. 111. 1995. Ridgi ng and strenglh in modcling

the thickness di strihution of Arctic sca ice. J Geophp. Res., 100 1 C9, 18,611-18,(j26.

G locrscn, P . " .. j. Campbdl, D.j. Cava li cri . .J. C. Com iso, C. L. Parkinson ancl H.J. Z\\'a ll \'. 1992 . .-I rcli( alld .·Inlanl it .fea ice. /978- J987: J!llellile /)(ISJ;"f­

mirJ"OlvoN' o/)sen 'fllioIlJ and {ffla0's i;, . \Vashington., DC. Nat iolla l i\eronaut ics a ncl Space Admin istral ion. (:\fASA SP-.'i ll.)

Gordon. A. L. 1981. Seasona lit)" of Southern O cea n ice. J Geo/)/9's. Res .. 86 (C5), +193- +197.

H iblcr, \V. D., Ill. 1979. A dynam ic lhermodyna mic sca ice model. J P/~)ls.

Orfallog/:, 9 7). 815- 8+6. La td: 1',1. alld 6 vlhn.f. 199+. C limatologv and ,·ariabi lit ), in the EC HO

coupled GC1', I. '[fllll s, 46A. 351 366. Lcgutke, 5. , E. .\fa icr-Rcimer, U. Cubasch, A. Stossci and i\ . Hcl lbach.

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Lc,·iLLIS. S. 1982. Climal% gical ni/as if Ihe world oreall. Rocb·ill , ~\JD, L.S. Dcpartmellt 0(" Commcrcc. :'via tiona l Oceanic a nd Atm osphcric Admin­iSlration. (i'\O!\A Profess iona l Paper 11 )

1',fai cr-Rcirncr, E., U. :\Ii kolajc\\" icz a nd K. f-i assc lma nn. 1993. 1',fca n circu­latiollof"the Hamburg LSG OGC\ [ and its sensiti vit y to the thermoha­li lle surbce forcing. J P/9's. Oceallog/:. 23 (+).731 - 757.

l\[a rtinson, D. G. 1990. C,·o lution oflhe Sout hern O cean \Vi m cr mixed layer a nd sea ice: open ocean deep\\"a tcr fo rm alion a nd 'Tnlilation. J Geoply·s. Res., 95 (C7), 1I ,6+1- 1I ,65+'

1',laykut , G. i\. a nd "I. Unlersleincr. 197 1. Some resulls from a time-depen­dcntthermodynamic model of sea ice. J Geo/J/Y's. Res., 76 (6 1. 1550- 1575.

Parkinson, C. I.. a nd \\ .. i\1. \\·ashinglon. 1979. A la rgc-sca le nUlllcrical moclcl of'sea ice. J (;eo/1/9'·'. RfJ. , 84 ((: 1), 311 337.

Sliissd , A. and , \I. B. O,,·ens. 1992. The I/llmblllg sea-ice /Ilorid Hamburg. Dcutsches Klima RcchenZel1lrum. ("Icchnica l Report 3.)

\\'ollr. J. -0., C. Maicr-Reimer a ncl S. L cgutke. 1997. The /-/lIl11blllg Oceall Prilllili,'e Equalioll 11I0del. H amburg, D eulsches Klima RcchenZel1lrul1l. Ti::chnica l Report I:l.)


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