Simulation of Wind driven currents for continental shelf of Golestan Province (Iran)

Transcription

1 Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: 5 35 Smlaon of Wnd drven crren for connenal helf of Golean Provnce Iran Saeed Sharba Facl Member Dep. of fher Grogan Unver of Agrclral cence & Naral Reorce Abrac In h Invegaon hree dmenonal modelng of wnd drven crren wa done n he connenal helf of Golean Provnce ng MIKE 3 Model. In order o applng open bondar condon n boh weern and norhern border he rel of mplemened of wo dmenonal MIKE model were ed n he Capan Sea. In mplemenaon of MIKE model reanal daa of NOAA aelle nclde componen of wnd peed and prere a ea level wh 6 hor me nerval and varable n pace and me a well a np of major rver and evaporaon and Corol force ed. In he MIKE 3 HS model he effec of Arak Gorganrood rver and waer echange wh he Gorgan Ba a orce and nk ha been condered. To applng wnd effec on he connenal helf of Golean Provnce he daa of Bandarorkaman nopc aon o become changed no he offhore wnd. In order o verfcaon of he rel of he MIKE 3 model he flow feld mearemen were ed n wo pon of olon doman. The model rel repreened he hgh nflence of wnd acon on he rface laer and n mo cae; crren are along he domnan wnd and n drecon of ohea area. B movng oward deep area crren go o from he olon area wh he 8 degree of phae dfference from rface crren. Ke Word: Connenal Shelf Golean Provnce 3D Smlaon Wnd Drven Crren.. Inrodcon Sea crren de o her role n nren pplng are effecve facor on bologcal prmar prodcon n he waer bode. Therefore he ncreang of prmar prodcon wll cae o ncreang econdar prodcon cachng and e of bologcal reorce n he ea. On he oher hand ea crren are he man facor n he drbon of envronmenal pollon and wh edmen ranporng caed o deformaon coaal morpholog. Knowledge of flow paern o necear for marne rcre and engneerng projec. Toda lng of nmercal model obvo de o dramac redcon n co and me n order o mlang of marne phenomena ch a crren edmenaon wave waer level flcaon and drbon of envronmenal pollon. In recen ear MIKE 3 and MIKE model have a pecal place among conre ha adjacen o he ea. In h nvegaon hree dmenonal modelng of wnd-drven flow paern ha been d n ea waer of Golean provnce connenal helf one. A an ecologcal cae h par of he Capan Sea de o he low deph and approprae waer emperare a able e for marne aqac pecall he Srgeon o ha more han 46% of he hare eracng of Iranan Srgeon reorce provded from h ban. However ome mporan ecoem ch a Gomhan weland Gorgan Ba and he Mankaleh pennla de o her neghborng wh receved more effec of marne acve from h ban. Developng of pen clre of fhe and hrmp n Golean coa along de of ndral own nearb h ban and cvl projec o conrcon of Torkaman Ga and khajenafa por and rban pollon brogh va wo major rver Gorgan Rde and Arak polled h ban. There are man de abo hdrodnamc flow n he Capan Sea and rrond ch a: Sharba [3 4] Zonema-Kermanand; e al [9] Ibraev; e al [6] Ghaffar; e al [5] Emael; e al [4] Knh; e al [8] Baban [] Nam; e al [9] Koroenko; e al [9] Pann; e al [] Bannaadeh; e al [] Sabbagh-Yad [] Mahew; e al [8] Bondarenko [3] Koarev [] Klevova [7] and Lednev []. The connenal helf of Golean wh le han.5 degree graden ha mamm deph of 34 meer and mean deph of 8 meer. Th ban wh 9 klomeer lengh and 6 klomeer wdh compleel locaed on connenal helf one. Th ban bonded o Maandaran provnce waer from we Golean provnce coa from oh and eaohern and Repblc of Trkmenan from norheaern par. The een of h area more han 54 km and boom edmenaon ha marne and connen reorce. The coaal one of Golean o fla and mooh. The am of h nvegaon reachng o wnd-drven flow paern and veloc componen v w n hree dmenonal mode n dfferen laer ng MIKE 3 n connenal helf of Golean provnce.. Maeral and Mehod Th work baed on lbraran de feld mearemen daa performed b Mnr of Jhad-e-Agrclre meeorolog daa n Bandarorkaman aon nmercal-meeorologcal daa of NOAA e and Implemenaon of MIKE and MIKE 3 model. IJCER MAR-APR VOL. ISSUE PAGE 439

2 Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: Model Decrpon Man Eqaon and Nmercal Formlaon n MIKE model De o lack of feld mearng daa of crren and rface waer elevaon n wo open bondare n he olon doman n drng /7/ o /8/ a fr MIKE model wa mplemened for he Capan Sea. The hdrodnamc model n he MIKE Flow Model a general nmercal modelng em for he mlaon of waer level and flow n eare ba and coaal area. I mlae nead wo-dmenonal flow n one laer vercall homogeneo fld and ha been appled n a large nmber of de. The effec of boom frcon re wnd re waer elevaon for he open bondar condon edd vco flood and dr rver nflow precpaon and evaporaon condered n MIKE model [ 3]. The governng eqaon are wren a follow: p q d Momenm eqaon n -drecon: p p h pq h q w Momenm eqaon n -drecon: q gp p q gh c h h h fvv p q h pq h w h gq p q gh c h h h h fvv p 3 p w w The followng mbol are ed n he eqaon: a a h Waer deph d m d Tme varng waer deph m Srface elevaon m p q Fl dene n -and - drecon m 3 //m = h vh; v = deph Average veloce n - and - drecon. C / Che reance m / g Acceleraon de o grav 9.8 m - f V Wnd frcon facor V V V Wnd peed and componen n - and -drecon m/ Corol parameer lade dependen - p a Amopherc prere pa w Den of waer kg/m 3 Space coordnae m me Componen of effecve hear re MIKE HD make e of a o-called Alernang Drecon Implc A.D.I echnqe o negrae he eqaon for ma and momenm conervaon n he pace-me doman. The eqaon marce ha rel for each drecon and each ndvdal grd lne are reolved b a Doble Sweep DS algorhm [4]... MIKE Model Sep For makng he bahmer map of he Capan Sea he hee map of he Capan Sea wh cale of :5 n WGS 984 wa ed. The bahmer nclded 63 7 recanglar grd wh grd e km n he boh onal and merdonal drecon IJCER MAR-APR VOL. ISSUE PAGE 44

3 Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: 5 35 n Carean coordnae em. Snce n he boom opograph modelng he mamm deph n he Golean connenal helf le han 34 meer n h work all deph greaer han 34 meer wa condered eqvalen o deph of 34 meer. Wnd re an mporan facor o formng rface crren n he Capan Sea. In h work he wnd daa ncldng wnd peed m/ and wnd drecon degree componen n meer hgh from he ea rface and alo rface prere hpa wa ed a varng n pace and me avalable from a re-anal daa of NOAA e Naonal Oceanc and Amopherc Admnraon [3]. The me ep daa wa 6 hor 4-me dal and he reolon wa.5 degree lade.5 degree longde 63 7 recanglar local grd wh grd e km n he boh onal and merdonal drecon wa condered. The wnd frcon n he ea rface varng wh wnd peed o n order o affec he wnd frcon facor wh wnd peed of varaon we ed mh and bank formla [8]: f for v v f v f f f for v v f for f.3 v m / f.6 v 3 m / v v v v v 4 v v Where v v v : f f : Are wnd peed Wnd frcon parameer Dcharge of fve man rver o he Capan Sea Volga Ural Terek Kra and Sefdrd a orce erm waer oflow o he Kara-Boga-Gol and evaporaon a nk erm he Corol forcng nclded n he model. Conderng facor n MIKE model brefl eplan n able.. Table - conderng facor n MIKE model Modle Selecon Hdroac Smlaon Sar Dae /7/ Map Projecon La & long Smlaon End Dae /8/ Tme Sep Range 4464 Ma Coran Nmber.9 Tme Sep Inerval 6 Nmber of orce 5 Floodng & Drng Deph m..3 Nmber of nk Inal Srface Elevaon m Precpaon mm.da - ReanceMannng Nmber m / Evaporaon mm.da - Edd Vco Smagornk Veloc Baed m. - Wnd Condon m Varng n me and pace To verf he rel of MIKE model flow paern obanng from MIKE model compared o docmen repor n he reaonable reorce fg 3. A he ne ep mean veloc componen v and waer level eraced a wo profle ere n we and norh bondar fg. IJCER MAR-APR VOL. ISSUE PAGE 44

4 Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: 5 35 Fgre - D flow paern n he Capan Sea b MIKE model and locaon of we and norh bondare. Fgre - man rface flow paern of he Capan Sea n he aonar mode b nmercal model done b Bannaadeh. Fgre 3- Scheme of he Capan Sea crren b Lednov Model Decrpon Man Eqaon and Nmercal Formlaon n MIKE 3 Model In h d he MIKE 3 HD model wa ed for hree dmenonal mlaon of flow paern n he Golean connenal helf. The hdroac HS model n MIKE 3 HD a general nmercal modelng em for mlaon of nead hreedmenonal flow n eare ba and coaal area a well a n lake and ocean. I mlae flow akng no accon bahmer and eernal forcng ch a meeorolog dal elevaon crren and oher hdrographc condon [5 6]. The mahemacal fondaon for he andard MIKE 3 HD engne he ma eqaon and he Renold-averaged Naver- Soke eqaon ncldng an arfcal comprebl ACM de o he choen nmercal olon procedre. The hdrodnamc modle of MIKE 3 make e of he o-called Alernang Drecon Implc echnqe o negrae he eqaon for ma and momenm conervaon n he pace-me doman. The eqaon marce whch rel for each drecon and each ndvdal grd lne are olved b Doble Sweep algorhm. Thee eqaon read [7] onl X-drecon hown for nd eqaon: c P v w S MASS 5 v w vn wn n P v v S MASS 6 Where Den c Speed of ond n waer v wveloce n drecon Corol parameer Lade Longde Trblen edd vco S Sorce/nk erm wh MASS IJCER MAR-APR VOL. ISSUE PAGE 44

5 Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: 5 35 IJCER MAR-APR VOL. ISSUE PAGE 443 N MASS Q S Dela fncon of orce/nk coordnae m -3 Coordnae of orce/nk NO. Q Dcharge a orce/nk NO. m 3 / The dfference beween MIKE 3 HS and MIKE 3 ACM are: A hdroac prere ampon appled.e. he vercal acceleraon are amed o be neglgble. The vercal veloc w amed neglgble relng n he removal of he econdar Corol erm and he la dffon erm. The prere pl p no wo par he eernal prere and he nernal prere. The eernal prere drecl lnked o he free rface and he nernal prere de o he den dfference. The fld amed ncompreble a oppoed o he andard veron of MIKE 3 HD. Coneqenl he comprebl erm n he ma eqaon dcarded. 7 S MASS w v 8 n MASS S v P v w v The eernal/nernal prere graden force gven b: 9 d g g P Where g Acceleraon de o grav Srface elevaon In he ACM veron of MIKE 3 he op horonal laer conanng he free rface olved eparael from b no ndependenl of he nderlng cell. The op laer laer-negraed a oppoed o he nderlng cell. In he hdroac veron of MIKE 3 he eqaon o be olved are n her laer-negraed form for boh he op laer and he nderlng cell. Th de o he olon procedre where convenen o have he ame formlaon for all cell n each waer colmn. Amng ha he horonal veloce are conan over he laer hckne. The laer-negraed form of 7-8 wh he prere graden force nered : bo op Q E P w w vh h n bo op laer bo op Q v h h d d g gh vh w w vh h h Where he m repreen all pon orce/nk n he condered laer and precpaon and evaporaon erm P and E m/ have been eplded from he m. The precpaon and evaporaon erm onl nclded f he condered laer he rface laer. The deph-negraed veron of :

6 Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: 5 35 UH VH P E X Y X X Y Y. Q.. Wh m over all pon orce/nk. The rblence modeled n erm of an Edd Vco and a bed hear re. In h d we ed med D D Smagornk Trblence model for deermned horonal and vercal edd vco. The horonal edd vco deermned b Smagornk formla [7]. L S T j S. S j j j j 3 4 Are he veloc componen n he appled. T C k 5 k The rblen knec energ The dpaon rae of rblen knec energ C I an emprcal conan drecon. L I a lengh cale and for he vercal drecon a D k model The bed re pecfed n erm of a drag coeffcen formlaon accordng o he relaon boom C * * D I he boom hear re boom * The fr compaonal peed enconered above he boom. C D I he drag coeffcen. When ng he med D D Smagornk clore model he bed drag coeffcen read boom C D * * 6 Z b I he vercal een of he boom grd cell K I von karman conan c I bed roghne lengh cale.4. MIKE 3 Model Sep In h d de o lack of acce o emperare and aln feld daa n perod of he modelng he effec of hee facor were neglgble. To make he bahmer model of Golean connenal helf he hee map wh cale of : were ed. Model area ha o be recanglar n horonal plane. A Carean coordnae em wa eleced and he model doman wa dvded no 6 9 qare grd wh a grd e of m. In order o calbraon of he model and accordng o he deph of feld mearemen of flow veloc he vercal grd pacng choen a.5 meer. Afer rnnng he model for everal me and changng ome mporan calbraon coeffcen ch a boom frcon and wnd frcon facor n rface model wa calbraed. For verfcaon of he model he crren mearemen daa were ed b Mnr of Jhad-e- Agrclre n ohern par of he doman []. For evalang he model rel he Roo mean qare error formla wa ed o compare he percenage of error able. IJCER MAR-APR VOL. ISSUE PAGE 444

7 /8/ Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: 5 35 Table - Comparng he rel of modelng and feld mearemen percen error n he wo aon. Dae Saon Toal Crren la Long Mearmen Model percen deph Meer degree degree deph m m. - error m m B / B / A he ne age and afer he model calbraon accordng o he mamm deph of he ban -34 meer he vercal grd pacng choen a meer. Th he model nclde 7 eparael vercal laer. In he preen d he rel op of MIKE for he Capan Sea a a profle ere ncldng veloc componen and waer rface elevaon n we and norh bondare a bondar condon n wo open bondare of he ban n weern and norhern par of were ed. In he perod of he d wnd daa ncldng peed and drecon a varng wh me b conan n pace for he Gorgan Ba were gahered from Bandarorkaman nopc aon afer ranform o offhore wnd [6]. To mplemen he nal rface condon he rel of wo dmenonal modelng of he Capan Sea wa ed. Mean dcharge of Gorgan Rd and Arak rver nclded n he model a orce erm. The Gorgan Ba locaed a he ohea par of he Golean coalne ha an mporan role n formng he flow paern n ohea par of he olon doman o n h d he effec of waer echange beween he Gorgan Ba and h ban wa condered o modelng [5]. Table 3 how he ncldng facor n MIKE 3 model afer calbraon he model. Modle Selecon Map Projecon Tme Sep Range Tme Sep Inerval Floodng & Drng Deph m Inal Srface Elevaon m Precpaon mm.da - Reance Mannng Nmber m /3. - Nmber of Vercal Laer Vercal grd pacng m Backgrond aln p Warm-Up da Table - conderng facor n MIKE 3 model Hdroac Smlaon Sar Dae WGS- 984-UTM- Smlaon End Dae Zone-38N 4464 Ma Coran Nmber 6 Nmber of orce..3 From fle Df of MIKE Nmber of nk Evaporaon mm.da - Trblence model Wnd Condon m. - Appl Corol forcng Bondar condon Backgrond emperare c Nmber of compaonal pon /7/ /8/ /53 6 k Med/Smagornk formla Varng n me and pace e daa ranfer Veloc-df Dcon I necear n MIKE 3 model o have efl bondar daa o hree dmenonal mlang he wnd-drven flow paern. Th ban ha wo open bondare n weern and norhern par. For eracng of waer elevaon and veloc componen n he plan on he open bondare he rel of MIKE model were ed n he Capan Sea. MIKE 3 model wa rn afer mplemened he bondar condon and ranformed he coaal wnd o offhore wnd. The model rel were verfed n wo pon of he doman. Noce ha he me ep nerval n h mlaon wa 6 econd and model wa rn for one monh /7/ o /8/. In h econ mean monhl of MIKE 3 modelng rel wll be decrbed. IJCER MAR-APR VOL. ISSUE PAGE 445

8 Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: Crren decrpon n he coaal one Generall coal crren are along he coa and recprocang n perod of he mlaon. In oh par of he doman and above he Mankaleh pennla crren almo are parallel o he pennla and flow from we o ea fg 4. Model calclaed mamm peed vale abo.45 m/ along hee coa. In we par of he coa wh movng from oh o norh he peed vale wll be ncreaed ch ha mamm crren peed n norh coa akng o.3 m/. Flow paern n he we coa are dependng o prevalng wnd paern and crren flow o he oh along he norh-oh a. Crren peed wh ncreang he deph decreaed n hallow waer n coaal one becae of he boom frcon and frcon beween adjacen laer. Golean connenal helf dvded n o norhern and ohern par n order o emang crren n he rface laer a he offhore area. In rface laer of he norhern par crren mol flow o ohea along he prevalng norhwe wnd. B n rface laer of he oh par of he doman crren affeced b boom opograph and hfng her drecon o he ohea n mo of he me wh mamm peed of.45 m/. 3.. Crren decrpon n mddle laer Crren revew n he mddle laer n deph of 7 meer how ha h laer ha mch effecvel from rface laer. Wnd re ha a man role n formng of he crren crclaon n h laer. In norhern par of h ban crren devaed o he norh and norhwe. Mamm crren peed n h laer wa recorded n deeper par of he connenal helf and abo.3 m/. Th hgh crren peed wa occrred becae of he effec of hgh crren peed n we open bondar ha effecng b fa and anclockwe crren n he Capan Sea. Th laer a he ohern par geng a lle effec from wnd paern n he rface laer and he crren peed n h par o low becae h par a hallow waer one and affeced b boom opograph. Mamm crren peed n h laer abo. m/. Mean monhl of modelng rel how ha here an anclockwe rng n oh par of h ban and n norh par of clockwe rng can be een fg Crren decrpon n deep laer In generall crren drecon n deph of 8 meer are o he norhwe. Sch ha crren drecon n hee deph have abo 8 degree phae dfference wh rface crren ha mol flow o he ohea. Th occrrence ndcaed on oflow waer n h deph from h ban. Mamm crren peed n h par b affecng he boom frcon abo.4 m/ n h laer fg 6. Fgre 4- mean monhl flow paern and veloc drbon n he rface laer. Fgre 5- mean monhl flow paern and veloc drbon n he mddle laer 7 meer deph. Fgre 6- mean monhl flow paern and veloc drbon n 8 meer deph. 4. Conclon The rel n h d are a mean monhl from /7/ o /8/. To oban beer rel model m be mplemened for a lea one ear perod wh ncldng he effec of aln and emperare varaon. In h nvegaon becae of lack of emperare and aln feld daa n perod of he modelng he effec of hee facor were neglgble. Generall he modelng rel are a follow: - In coal lne of Golean connenal helf crren are along he coa and recprocang. Th rel compleel mached o wo dmenonal modelng b MIKE model ha wa done b Rahmpoor Anarak 5 []. De o effecve bed frcon n coaal lne rface crren peed n hee area lower han offhore rface crren. IJCER MAR-APR VOL. ISSUE PAGE 446

9 Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: Modelng rel of he mddle laer how ha here an anclockwe rng n ohern par of h laer and n norhern par of clockwe rng can be een. The effec of norh and we open bondare and prevalng wnd paern have an mporan role o formng hee rng. 3- Crren drecon n deep par of he ban o he norhwe ha abo 8 degree phae dfference wh rface crren. Th occrrence ndcaed on oflow waer n h deph from h ban. Reference. Bannaadeh M.R Bdokh A.A Kherandh M Hoen H.F. A Three-Dmenonal Model of he Capan Sea. J. Eeghlal :7-. In Peran. Baban M 8. A Sd of Wnd drven Crclaon b a hree dmenonal Nmercal Model n he Amr Abad Regon. Ilamc Aad Unver M.S The pp Bondarenko A.L 993. Crren of he Capan Sea and formaon of aln of he Waer of he norh par of he Capan Sea. Mocow Naka pp.. In Ran 4. Emael M Aarma A Karam A.kh 9. Long hore Crren Smlaon ng Mke Nmercal Model Cae Sd: Kahahr area. J. Earh and pace phc 35: In Peran 5. Ghaffar P Chegn V 9. Acoc Doppler Crren Profler Obervaon n he ohern Capan Sea: helf crren and flow feld off Fredoonkenar Ba. Iran Ocean Sc. Dc 6: Ibraev R. A Zo E. O Schrm C Sr H. I. Seaonal varabl of he Capan Sea hree dmenonal crclaon ea level and ar-ea neracon. Ocean Sc Dc 6: Klevova N.D 967. Sea crren regme near ea coa of he mddle and oh Capan ban. Proceedng of Hdromeeo obervaor of Bak 3: In Ran 8. Knh V. V Ibraev R. A Koroaev G. K Inhna N. V 8. Seaonal Varabl of Clmac Crren n he Capan Sea Reconrced b Amlaon of Clmac Temperare And Saln no he Model of Waer Crclaon. SSN J. Amopherc and Oceanc Phc 44: Koroenko K. A Mamedov R. M Konarb A. E Koroenko L. A 4. Parcle rackng mehod n he approach for predcon of Ol lck ranpor n he ea: modellng ol pollon relng from rver np. J. Marne Sem 48: Koarev A.N 99. The Capan Sea Srcre and waer Dnamc. Mocow Naka. In Ran. Lednev V.A 943. Crren of he norhern and cenral par of he Capan Sea. Naka Mocow. In Ran. Manal of MIKE FLOW MODEL Hdrodnamc Modle Scenfc Docmenaon Danh Hdralc Ine DHI Sofware 58pp Manal of MIKE FLOW MODEL Hdrodnamc Modle ep-b-ep ranng gde Danh Hdralc Ine DHI Sofware 4 pp Manal of MIKE FLOW MODEL Hdrodnamc Modle Uer Gde Danh Hdralc Ine DHI Sofware 9 pp Manal of MIKE 3 FLOW MODEL Coaal Hdralc and Oceanograph Hdrodnamc Modle Hdroac Veron Scenfc Docmenaon Danh Hdralc Ine DHI Sofware Manal of MIKE 3 Coaal Hdralc and Oceanograph Hdrodnamc Modle Scenfc Docmenaon Danh Hdralc Ine DHI Sofware 7. IJCER MAR-APR VOL. ISSUE PAGE 447

10 Saeed Sharba / Inernaonal Jornal Of Compaonal Engneerng Reearch / ISSN: Manal of MIKE 3 Coaal Hdralc and Oceanograph Hdrodnamc Modle Uer Gde Danh Hdralc Ine DHI Sofware Mahew C. W Roderck T Ta I. Hdrodnamc and Dperon Modelng for he Aer Chrag Gnah Feld Offhore Bak. Aerbajan CLIENT URS Dame & Moore Projec Nmber ASA -7 pp Nam S Gha R 6. A hree-dmenonal model of waer crclaon and emperare rcre n he Capan Sea. J. Earh Space Ph 3:-35.. Pann G. N Dba A. V 3. Crren varaon n he wnd peed vecor and he rae of evaporaon from he Capan Sea rface. Waer Re 3: Rahmpor Anarak H 5. Invegaon of Hdrodnamc of crren and predcon of Eroon and Sedmenaon Paern n Groan Ba-Iran. Sol Conervaon and Waerhed Managemen Reearch Ine 84/3:-48. In Peran.. Sabbagh-Yad S.R. Invegaon of Corol Force on he Capan Sea Crren Ung a Two Dmenonal Nmercal Model. 4h Inernaonal of Coa Por and Marn Srcre ICOMPAS Ramar Iran. In Peran 3. Sharba S. 3-D Smlaon of Wnd-Indced Crren Ung MIKE 3 HS Model n he Capan Sea Canadan Jornal on Compng n Mahemac Naral Scence Engneerng and Medcne Vol. 3 No. 3 pp Sharba S. comparon f MIKE 3 MODEL and Prnceon Ocean MODEL n Wnd drven Crren paern nder ame condon for he Capan Sea Canadan Jornal on Compng n Mahemac Naral Scence Engneerng and Medcne Vol. 3 No. 3 pp Sharba S Imanpoor M.R Gorgn S Hoen S. The fr phae of mlaon de of hor-erm ea crren n he Gorgan Ba. Reearch Repor Gorgan Unver of Agrclral Scence and Naral Reorce pp. In Peran 6. Shore Proecon Manal 984 U.S. Arm Engneer Waerwa Epermen Saon Wahngon D.C. U.S. Governmen Prnng Offce Vol.. 7. Smagornk j 963. General crclaon Epermen wh he prmve eqaon. Monhl weaher revew Vol.9 pp: Smh S.D Bank G 7. Varaon of he ea drag coeffcen wh wnd peed. Qar. Jornal of Me. Soc. Vol. PP Zonema-Kerman M Sabbagh Yad S.R. Conjncon of D and 3D Modfed Flow Solver for Smlang Spao-Temporal Wnd Indced Hdrodnamc n he Capan Sea. Jornal of Ocean Sc. 45: hp:// IJCER MAR-APR VOL. ISSUE PAGE 448