SCHOOLOFCOMPUTERSTUDIES RESEARCHREPORTSERIES UniversityofLeeds Report93.26
|
|
|
- Todd Burns
- 8 years ago
- Views:
Transcription
1 SCHOOLOFCOMPUTERSTUDIES RESEARCHREPORTSERIES UniversityfLeeds Reprt93.26 ParallelisatinftheRlls-RyceCFDS-ANSECde DivisinfCmputerScience JamesM.Camern by September1993
2 cllabrativeprjectbetweenleeds,thethereticalsciencegrupatrlls-ryceand theuniversityfedinburgh'sparallelcmputingcentre.wedescribethemethdf parallelisingalargecfdcde,usingadmaindecmpsitin.hwever,theturbulence mdelrequiresglbaldatatcalculatethemiinglength.herewedescribeamethd frcalculatingthemiinglengthacrssthedecmpseddmain. ThisreprtdetailsthewrkcarriedutattheUniversityfLeedsduringthePAP Abstract 1Intrductin TheaimfthisprjectwastparalleliseRlls-Ryce'sCFDS-ANSE(CmputatinalFluid DynamicsSystem-AlgrithmfrNavierStkesEplicit)cde[1,2,3].ANSEisaneplicit time-marchingnavier-stkesslverwhichusesjamesn'scell-centerednitevlumescheme [4]. wherethesubscriptidentesinviscidwterms,thesubscriptvdentesviscuswterms, 1.1StateEquatins Thecnservatinfmass,energyandmmentumisgivenbytheNavier-Stkesequatins (1) w e 1 CA;Fi=0B@u u2+p uh wu uv 1 CA;Gi=0B@v v2+p vh wv uv 1 CA;Ki=0B@w Fv=0B@ y w2+p wh uw z vw u vy wz+q CA;Gv=0B@ uy vyy wyz+qy y yy yz 0 Kv=0B@ z zy zz 0 1 CA; Intheabveisthedensity,u,v,wthevelcitycmpnentsinthe,yandzdirectins, uz vzy wzz+qz 1 S=0B@ 2y+2w 2z 2z 0 1CA: ethettalenergyperunitmass,pthestaticpressure,htherthalpy,andtheangular velcity.the'sandq'saretheviscusstressesandheatutermsrespectively,givenby 23@v 1@y
3 q= qy= andkisthecnductivitycecient.fraperfectgaswealshave withy=y,z=z,zy=yz.eistheeectiveviscsity,tisthestatictemperature qz= Frturbulentwtheeectiveviscsityandthermalcnductivececientbecme Frlaminarwe=landisgivenbySutherland'slaw,andk=lCp inarprandtlnumber,isassumedcnstant,andcpisthespecicheatatcnstantpressure. 1p+12(u2+v2+w2) 12(2r2) k=cp(l e=l+t Pr+t Prt) Pr,wherePr,thelam- wheretistheturbulentviscsityandprtistheturbulentprandtlnumber,whichistaken tbecnstant. 1.2FiniteVlumeDiscretisatin Equatin(1)maybeepressedinintegralfrmas 2 (2)
4 fraedreginvbundedbythesurfaces.herenistheunitutwardnrmalts,and Histhevectrfues,i.e. withthef'sg'sandk'sasin(1). discretefrm Thespacediscretisatinisbyastandardnitevlumemethd.Wereplace(2)bythe H=(Fi+Fv;Gi+Gv;Ki+Kv)=(F;G;K) ANSEvaluesarestredatthecentrefeachcellVJ.ThusHp,thevaluefHnacell wherenpisthevectrnrmaltfacepfcellvj,andjvjjrepresentsthevlumefvj. faceiscalculatedbytakingtheaveragevaluefhfrthecellcentresneithersidefface p.theglbaldmainvisbrkendwnintsmallercellsvj.bundarycnditins,which inmanycasesccurnthefacesfcellsntheedgefthelcaldmain,areenfrcedby (3) havingasetfdummycellsarundtheutsideftheglbaldmain.thevaluesatthe where thetwcellcentresneithersideistaken. mayberewrittenas centrefthesecellsaresetsthatthefacecenteredvaluesarecrrectwhentheaveragef Equatin(3)isthusasystemfcupledrdinarydierentialequatinsintime,which AneplicitN-stepRunge-Kuttaschemefthefrm FJ=SJjVJj XpHp:np: ddt(wjjvjj)=fj W(0) J=W(0) J+c1tF(0) W(0) J=WnJ W(i) J+c1tF(i 1) JJ schemec1=1:0,whilefra4stepscheme,thececientschsenarec1=0:25,c2=0:5 W(N) J=W(0). J+c1tF(N 1) andc3=0:55.frthetestcasesinsectin3,thetwstepschemewasused. isusedtintegratefrwardsintime.anseuseseither2r4stepschemes.fratwstep Wn+1 J=WNJ J 3
5 1.3TurbulenceMdel Theturbulentviscsitytmustbewrkedutusinganapprpriateturbulencemdel.ANSE usesamdiedbaldwin-lmamdel isthemiinglength,k(=0:41)and(=0:08)arecnstants,nisthedistancetthe wheretistheeddyviscsity,(u1;u2;u3)=(u;v;w),(1;2;3)=(;y;z)and l=minfknev;g @i)=l2d (5) (4) isdnebycheckingthevaluefeachcmpnentfthegradientfatestfunctin,.the nearestwall,evisthevandriestdampingfactrandistheshearlayerthickness. Inrdertcalculatetheshearlayerthickness,,wehavetsearchthrughthecells.This 1:0inthatdimensin.Thesearchbeginsbylkingattheapprpriatecmpnentfrin thethreespacedimensins.asearchisstartedfrmeachcellinwhichthegradientinthat spacedirectinisthemaimum,prvidedthatthecmpnentfrisgreaterrequalt cmpnentfrwhichthegradientisgreatestisntedfreachcell.wethenlpthrugh andbackwardsfrtheapprpriatecells,ineachfthethreespacedimensins,andsthe theneighburingcell,if(r)i<1:0thesearchisterminated(wherei=1;2;3frsearches alngthe;y;zaesrespectively).otherwisethecellisaddedtthesearchlength.ifwed tbecnstant.thismaybecalculatedfrmtheinletturbulenceintensitytuandacharacteristiclengthscalevia whereisthettal(i.e.laminarandturbulent)shearstress.deningt=tweget Innearwallregins,themiinglengthlismdiedbythevanDriestdampingfactr Ev=(1 e[( Anpl)=l]) l1=0:387tul (7) (6) whenitreturnstthecellfrmwhichitstarted.thissearchiscarriedutbthfrward bundary,eceptifthebundaryisarepeatbundary,inwhichcasethesearchterminates searchalgrithmisinvkedattalfsitimesfreachturbulencecalculatin. Inthefreestream(i.e.utwithanyidentiableshearlayers)themiinglengthisassumed ntcmeacrssacellwhere(r)i<1:0,thesearchisterminatednreachingthedmain whichmustbeslvediterativelyfrt. Theeectiveviscsityeffisgivenbycmbiningthelaminarandturbulentviscsities,i.e. t=2n2d(1 e[( Anp(t+l)D)=l])2 eff=l+t 4
6 2Parallelisatin 2.1Intrductin TheaimftheprjectwastparallelisetheCFDS-ANSEcde,withtheparallelisedcde runningveranetwrkfsilicngraphicswrkstatins.messagepassingbetweenprcessrs wastbehandledbyepcc'schimpmessagepassingsystem[5,6].theparallelisatin fthecdetkplaceintwstages.stageidealtwiththelaminar(i.e.nn-turbulent) cde,whilststageiiencmpassedtheparallelisatinftheturbulencemdel.generally, ntbeupdatedlcally.stageiisawtheintrductinfeplicitmessagepassingbetween StageIrequirednlyre-arrangingDOlpssthattheynlyranvercellsheldlcally ntheprcessr,andtheplacingfbundaryswapstupdatehalvalueswhichculd subdmains.thisprcessisknwnasdmaindecmpsitin.decmpsingthedmain thelaminarcde,butrequiredsmeeplicitmessagepassing. 2.2DmainDecmpsitin Inrdertenablethecdetberuninparallel,werstsplitthedmainintsmaller prcessrs.theneeceptintthiswastherepeatbundarycde,whichfrmedpartf attheedgefeachfthedecmpseddmainmayrequiredataheldntherdmainsin prcessrsnlngerhasaccesstallthedatafrthewhledmain.cnsequently,cells intrducesanewsetfprblemstvercme.thebiggestftheseisthateachfthe A A B B A A B B A B A B bthmrethan1prcessr. Figure1:Simplerepresentatinfdmaindecmpsitin.Thehal(shaded)cellslien A B A B A B A B 5 Prcessr 1 Prcessr 2 Internal Cells Hal Cells
7 updatednprcessr1(sincetheytneeddatafrmneighburingcells),butnprcessr 2.Thenewvaluesincells'B'arethenpassedtprcessr1.Thisisknwnasahalswap. rdertbeupdated.thisisaccmplisedbyhavingahalreginarundtheedgefeach areneededtupdatesmevaluesinthecellsmarked'a'.hwever,the'b'cellsarent subdmain.thecellsinthehalarethseneededtupdatethecellsattheedgefthe carriedutusingepcc'spul-rdlibraryffunctins,[7]. marked'a'and'b'aresharedbyprcessrs1and2.onprcessr1,thecellsmarked'b' subdmain.figure1shwstherelatinfhalcellstinternalcells.infigure1thecells 2.3StageI-TheLaminarCde TheStageIparallelisatintkinthedmaindecmpsitin,thedecmpsitinfarrays createdduringinitialisatin,andparallelisingthelaminarrutines. InCFDS-ANSEthedmaindecmpsitinandsubsequentupdatefhalcellswas functincall. ParallelisingEistingRutines DmainDecmpsitin ThebulkfwrkinStageIwasadaptingtheDOlpsintherelevantanserutiness ThedmaindecmpsitinwascarriedutusingEPCC`sPUL-RDutility[7],whichsupprts thatinsteadfrunningverallthecellsintheprblemdmain,theynlyranvercells regulardmaindecmpsitins.thisenabledbundaryswapstbecarriedutwithne inneighburingcells,thismeansthatcellsalngtheedgefthedatablck(thehal)will ntbeupdatedlcally,andwemustgetthenewvaluefrmaneighburingprcessr.the heldlcallybytheprcessr.inthecasewherecellsareupdatedusingvaluescntained thestaticpressurefreachcell. halupdatesarecarriedutusingrdswapcalls[7].aneamplefthisisgivenbelw.the cdesegmentistakenfrmtheanserutinepstati,therutinewhichsetsthevaluef C CDIR$IVDEP DO10K=2,KDIM DO10J=2,JDIM SETUPCONTRIBUTIONOFJANDKTOTHEOFFSET C NCOJK=IP1*(J-1+JP1*(K-1)) C DO10I=2,IDIM GETTHECELLOFFSET NCOFF=I-1+NCOJK 6
![thecellsinthehalarethseneededtupdatethecellsattheedgefthe carriedutusingepcc'spul-rdlibraryffunctins,[7]. marked'a'and'b'aresharedbyprcessrs1and2.onprcessr1,thecellsmarked'b' subdmain.](/docs-images/51/13797710/images/page_7.jpg "figure1shwstherelatinfhalcellstinternalcells.infigure1thecells 2.")
8 C GETRHO*STATICINTERNALENERGY RO=RHO(MRHO(NCOFF)) RRO=1./RO RU=RHOU(MRHOU(NCOFF)) C RV=RHOV(MRHOV(NCOFF)) RW=RHOW(MRHOW(NCOFF)) RET=RHOE(MRHOE(NCOFF)) C RES=RET-.5*(RU*RU+RV*RV+RW*RW)*RRO+RO*OMR2(MOMR2(NCOFF)) SETSTATICPRESSURE P=(HOEC(MHOEC(NCOFF))-1.)*RES GETTEMPERATURE becmesd10k=ksrt21,kend11 10CONTINUE T=P*RRO/RGSC(MRGSC(NCOFF)) IF(T.LE.0.0)T=TZERO TST(MTST(NCOFF))=T CDIR$IVDEP C SETUPCONTRIBUTIONOFJANDKTOTHEOFFSET d10j=jsrt21,jend11 GETTHECELLOFFSET d10i=isrt21,iend11 ncjk=idimg2*(j+jffg2-1+jdimg2*(k+kffg2-1)) C GETRHO*STATICINTERNALENERGY ncff=i+iffg2-1+ncjk r=rh(mrh(ncff)) rr=1./r ru=rhu(mrhu(ncff)) rv=rhv(mrhv(ncff))7
9 rw=rhw(mrhw(ncff)) ret=rhe(mrhe(ncff)) C SETSTATICPRESSURE res=ret-.5*(ru*ru+rv*rv+rw*rw)*rr+r*mr2(mmr2(ncff)) GETTEMPERATURE p=(hec(mhec(ncff))-1.)*res t=p*rr/rgsc(mrgsc(ncff)) if(t.le.0.0)t=tzer hals.afulldescriptinfthesetsandhwthelpindicesinparallelrelatetthe Thelpindiceshavebeenadjustedttakeaccuntfthereductininsizefthedatahandledbyneprcessr,andsetshavebeen(e.giffg2)tallwfrtheintrductinf 10CONTINUEtst(mtst(ncff))=t swapsarerequired.inthecaseftherutinewhichupdatesthewvariables(update), RepeatBundaries heldinthatcell.thus,inthiscase,thehalcellsmaybeupdatedlcallyandnbundary serialindicesisgivenin[8].thestatictemperatureisupdatedineachcellusingnlydata Asmentinedabve,thebulkfthestageIparallelisatininvlvedchangingDOlpindices thecalculatinfthenewvaluesrequiresvaluesfrmneighburingcells.herethehalcells Repeatbundariesareamethdfrapplyingcyclicbundarycnditins.ANSEdealswith andaddingbundaryswapswherenecessary.theeceptintthiswererepeatbundaries. arentupdatedlcally;insteadabundaryswapiscarriedutattheendftherutine. thisbysettingthedummycellsateachendftherepeatbundariessthatthetwends therighthandend,andsimilarlyfrtherighthanddummycells.onasingleprcessrthis iseasytdsinceallthenecessarydataisheldlcally.hwever,inparallelthismaynt arethesame.infigure2thewcellsareintheclumnswithan'f'abvethem,whilethe dummycellshavea'd'abvethem.therepeatbundaryismarkedwithan'r'.thevalues fthedummycellattheleftbundaryaresetthesameasthecrrespndingwcellat necessarilybetrueandthetwendsftherepeatbundarymayliendierentprcessrs. Thusitisnecessaryfrdatatbeechangedbetweentheprcessrscntainingthetw endsftherepeatbundary.initiallythemessagepassingwasaddeddirectlyttherepeat bundaryrutines(brep,visrepusingthepul-emfacility[9].thiswaslaterchangeds thattheswappingwasdealtwithbyadierentsubrutineswaprp. 8
10 R R F D D F Figure2:Diagrammaticrepresentatinfrepeatbundaries. 2.4StageII-TurbulenceCalculatin Intrductin AsinthestageIcalculatin,thereweretwaspectstthestageIIparallelisatin.Therst aspect,asinstagei,waschangingdolpindicesfrmglbaltlcal.thesecndaspect wasadaptingthemiinglengthcalculatintruninparallel MiingLengthCalculatininParallel InSectin1.3weutlinedthemethdANSEemplysfrcalculatingtheshearlayerthicknessduringthemiinglengthcalculatin.Inthissectinwedescribethecalculatinfrm aparallelpintfview,discussingsmeftheprblemsbrughtabutbythedmain decmpsitinanddescribinghwtheywerevercme. Thenaturefthesearchduringthemiinglengthcalculatinsintrducescmpleitiestthe parallelcde(inthefllwingupstreamreferstthedirectinfthesearch,whiledwnstream istheppsitedirectin.)aswithrepeatbundaries,theprblemisthatnnlcaldatamay berequiredtcalculatethesearchlength.hwever,unliketherepeatbundaries,itisnt knwninadvancewhichspecicremtecellswillbeneeded.generally,eceptinthecase frepeatbundaries,thesearchinthefurthestupstreamprcessrwillhaveterminated successfully(sinceitcntainstheglbaldmainbundary).thusasweep,passingthe searchlengthsinadwnstreamdirectinwillallwanyunterminatedsearchestpickup theremainingsearchlengthfrmupstream. Intheimplementatinfthemiinglengthcalculatin,thesearchiscarriedutintw phases: 9
11 Allthesearchesfrmthedwnstreamedgefthelcalblckarestartedneachprcessr.Ifthesearchreachestheupstreamedgefthelcalblckwithutterminating(e.g. thesearchterminateswhenthevrticitytestfunctinislessthanneinvalue)thisis aggedbymakingthesearchlengththusfarnegative.oncethesearchhascmetan Thesearchesfrmtheremainingsearches(i.e.thecellsupstreamftheedgecells) searchlengthisstredinthehalcellnettthecellfrmwhichhesearchwasinitiated.thesesearchlengthsarethenpassedinthedwnstreamdirectin,startingwith thefurthestupstreamprcessrandterminatingatthemstdwnstreamprcessr, wheretheyarestredintheapprpriateupstreamhalcell. end(eitherthrughsuccessfulcmpletinrreachingtheedgefthelcalblck)the withuthavingterminated,itpicksuptheremaininglengthttheendftheturbulent reginfrmtheapprpriatehalcell. arecarriedutaspertheserialcase.ifthesearchreachestheendfthelcalblck Prcessr 1 Prcessr 2 Prcessr 3 AA BB CC DD EE FF theremainingcellsarethenstarted,andanycellsunterminatednreachingtheendfthe gridpickuptheremaininglengthfrmthehal. (e.g.thelengthfrmthecells'cc'arestredin'bb'nprcessr1).thesearchesfrm necessary.thesearchlengthfrmtheupstreamprcessrisstredintheupstreamhal Figure3:Diagramshwingmiinglengthcalculatin.Thesearchisstartedfrmrws 'AA','CC'and'EE'.Thesesearchesarecmpleted,receivingdatafrmtherprcessrsif Directin f search (upstream) Figure3shwstherespectivepsitinsfsearchandstrecellsfrphase1.Searchingfrm lefttright,therstphasesearchesbeginatthedwnstreamedgefthelcalblck(rws Directin f sweep (dwnstream) 'AA','CC'and'EE').Oncethesearcheshaveeitherreachedtheendfthelcalblckr 10
12 righthandend(prcessr3infigure3).thislengthisstredintheupstreamhal(rws thecde,anunterminatedsearchfrmacellisdentedbymakingthesearchlengthfrm 'BB','DD'and'FF')andaddedntanyuncmpletedsearches.Oncethishasbeendne, arecmpletedbypickinguptheremainingsearchlengthfrmtheapprpriatehalcell.in westartthesearchesintheremainingcellsinthelcalblck.anyuncmpletedsearches terminatedsuccessfully,wepassthesearchlengthsdwnstream,thesweep,startingatthe serachlengthhasbeenpasseddwnstream.thusifwehaverepeatbundaries,andtheyare separatedinthesamedirectinasthesearchwedasecndsweepattheendftherst meanthatafterthesweep,therearestillsmeunnishedsearches,sincenlyapartial whilethebrkenlinesarecellsinthehal. Ifwehavearepeatbundary,itmightbethecasethattheprcessrattheupstreamend requiresthesearchlengthfrmtheprcessratthedwnstreamend.inturn,thismight thatcellsfarnegative.infigure3theslidlinesrepresentcellsheldinthelcalblck, dwnstreamdirectin,terminatingatthesecnd-mstdwnstreamprcessr.thisenables unterminatedsearchestbecmpleted. Thesendandreceiveperatinsarecarriedutbyaseparaterutine,calledSWEEP.SWEEP phase,frmthedwnstreamprcessrttheupstreamprcessr,andthencntinuingina backwardsfreeachfthethreespacedirectins,makingattalfsisearchesfreach ThealgrithmissetutinFigure4.Thesearchingrutineiscarriedutbthfrwardsand search(i.e.backwardsrfrwards)andthebuerswhichareusedtpassthedata.allthe updatingfsearchlengthsfrthedwnstreamfacesisdnewithinsweep. t,themiinglengtharraythespacedirectin,fthesearch,therelativedirectinfthe ispassedtheprcessrid'sfthetheprcessrsfrmwhmdataisbeingreceivedandsent searchmustbestartedfrmalldwnstreamedgecellsincaseanyfthesearchesfrmthe dwnstreamprcessrspassthrughthatcell. calculatinfthemiinglength.frinternalcells,thesearchisnlycarriedutfrma particularcellinnespacedirectin,thedirectinfmstturbulence,butthephasene 11
13 Step2ifntfurthestupstreamprcessrthenreceivesearchlengthsfrm Step1initiatesearchesfrmthedwnstreamfacefeachprcessr strereceiveddatainupstreamhal upstreamneighbur,addthemtanyunterminatedsearchlengthsand Algrithm Step3ifntfurthestdwnstreamprcessrthenpasssearchlengthsfrm Step4ifdirectinfsearchdesntseparaterepeatbundaries,gtStep8 Step5iffurthestprcessrdwnstream,passsearchlengthstfurthest Step6receivesearchlengthsfrmupstreamneighbur,addthemtany dwnstreamfacetdwnstreamneighbur Step7ifntupstreamneighburffurthestdwnstreamprcessrthenpass upstreamprcessrandgtstep8 Step9ifsearchunterminatednreachingendflcalblck,addremaining Step8initiatesearchesfrmremainingcellsinlcalblck searchlengthsfrmdwnstreamfacetdwnstreamneighbur unterminatedsearchlengthsandstrereceiveddatainupstreamhal Step10stp Figure4:Thealgrithmfrcalculatingthesearchlengthinagivendirectin.Thisalgrithm spacedimensins isthenrepeatedinthereversedirectin.thisprcedureiscarriedutfreachfthethree searchlengthfrmhal 12
14 3Results 3.12DTurbineBlade Herewegivetheresultsfr2-dimensinalturbulentwveraturbineblade.The2- dimensinalgridcntains11,172cells.thecdewasrunvervethusanditeratins,with theturbulencecalculatinbeingcarriedutaftereveryveiteratins.thetimingsfrruns ndieringnumbersfprcessrsaregivenintable1belw.themulti-prcessrrunswere numberfprcessrselapsedtime(s)r4000speedupr3000speedup 1 1y serialcde 16 1z 248 yparallelcde(r4000) zparallelcde(r3000) buttheverallruntimeisstillslwerthann1prcessr.on8and16prcessrsweseea 1prcessrt2.Thiscanbeattributedtthefactthatwehaveaddedcmmunicatins cstsingingfrm1prcessrt2.gingfrm2t4prcessrsweseesmespeedup, machine,whiletheslaveswerer3000machines.aswecansee,thereisnspeedupfrm carriedutnamiturefr3000andr4000machines;generallythemasterwasanr4000 Table1:Runningtimesfr2DANSEcalculatin.Thetimesgivenarewallclcktimes. slwdwn.thismightbeduettheprblemsizeremainingedwhilethecmmunicatin cstgesup. Turbulence Herewegivethetimingsfrthecdewithandwithuttheturbulencecalculatin.The runwasver500iteratins,andtheturbulencecalculatin(whenturnednintable2) nfprcessrselapsedtime(s)speedupelapsedtime(s)speedup turbn turb Table2:Cmparisnfturbulentandlaminarwcalculatinfr2DANSE
15 betterspeedupfrthecdewiththeturbulencecalculatin.alstheturbulencecalculatin accuntsfrapprimately10%ftheruntime. wascarriedutaftereveryveiteratins.thetimesareshwnaswecansee,wegeta 3.23DTurbineBlade InTable3wegivethetimingsfrdaytimerunsfthecdeverthefull3-dtest-case.The runwasvertwenty-veiteratinswiththeturbulencecalculatinagainbeingcarriedut numberfprcessrselapsedtime(s)speedupspeedupy speeduprelativettwoprcessrs yspeeduprelativetFOURprcessrs Table4wegivetimingsfrrunsatnight.Thedetailsftherunarethesameasfrtheday times. attheendfeveryveiteratins.the3-dimensinalgridcnsistsf126616cells.belwin Table3:Daytimerunningtimesfr3DANSEcalculatin.Thetimesgivenarewallclck numberfprcessrselapsedtime(s)speedupspeedupy speeduprelativettwoprcessrs yspeeduprelativetFOURprcessrs multi-prcessrrunswerecarriedutnamiturefr3000andr4000machines;generally themasterwasanr4000machine,whiletheslaveswerer3000machines. times. timeruns.thereisnneprcessrtimeduetprblemswithdadmemrymanager.the Table4:Overnightrunningtimesfr3DANSEcalculatin.Thetimesgivenarewallclck manager,whilewithtwprcessrsthereareprblemswithpagingintvirtualmemry. prblems.intheneprcessrcase,thisisshwnupbytheusefthedadmemry intable5,whichissignicantinallcases Therstthingtnteisthespeedupachievedbetweenrunningatdayandnight,shwn Inbththe1and2prcessrcases,thelargememryrequirementsfthecdecause 14
16 numberfprcessrsspeedup thatthedmainsizeisstillverylarge,andtherearecmmunicatinverheadsaswell.the Antherpssibleeplanatinastwhythespeedupissgreatfrm2t4prcessrsis Table5:Day-nightspeedups 1.26 speedupsfrm4-8-16prcessrsaremrealngtheepectedlines.theslwdwnthat appearswith32prcessrsmaybeduetetrawrkandcmmunicatinscreatedbythe activities. 3.3PerfrmanceAnalysis Takingthetimefr1+25iteratinsfEample3(3Dturbineblade)n16SGwrkstatins (asbefre,mainlyr3000,withthemastercdenar4000)wegetthefllwing ratifhalcellstinternalcells.cnsequentlymretimeisspentincmmunicatintype Theratef7.95MFlp/sisveryclsettheperfrmancefaR3000wrkstatin(8Flp/s), andsthenlybenetwegetfrmrunningtheparallelcdeisanincreasedvirtualmemry size,allwinglargerprblemstberun. Elapsedtimeperiteratin=31.48s 4Cnclusins Estimatedaveragerate=7.95MFlp/s asinglewrkstatin,thereisntmuchspeedup.thismaybeduetcmmunicatin Firstly,parallelisingthecdewassuccessful.Theparallelcdeprducesresultscmparable withtheriginalcde.lkingmreclselyattheresultsinsectin3,weseethat,althugh runningthecdeinparallelallwstheslutinflargerprblemsthanweculdslven cmmunicatinusingethernetimpliesthatitmaybewrthwhilerunningthecdena sharedmemrymachine. References [1]J.D.Nrthall.CmputatinalFluidDynamicsSystem(CFDS)-AnIntrductin.TechnicalReprtTSG0389,Rlls-Ryceplc,1988. csts,rincreasingtheratifhalcellstwcells.thehighcstfinter-prcessr 15
17 [4]A.Jamesn,W.Scmidt,andE.Turkel.NumericalslutinftheEulerEquatinsby [3]J.D.Nrthall.GeneralisatinftheCFDSBundaryCnditins.TechnicalReprt [2]Y.K.H.CFDS-ANSE:AnEplicitTimeMarchingNavier-StkesSlver.Technical nitevlumemethdsusingrunge-kuttatimesteppingschemes,1981.aiaapaper TSG0465,Rlls-Ryceplc,1992. ReprtTSG0646,Rlls-Ryceplc,1992. [7]SimnRChapple.PUL-RDPrttypeUserGuide,1992.Ref.EPCC-KTP-PUL-RD- [6]R.AlasdairA.Bruce.CHIMPVersin1.0UserGuide.TechnicalReprtEPCC-KTP- [5]R.AlasdairA.Bruce.CHIMPVersin1.0InstallatinGuide.TechnicalReprtEPCC- CHIMP-USER1.3,EdinburghParallelCmputingCentre,Nvember1992. KTP-CHIMP-INST1.2,EdinburghParallelCmputingCentre,January1993. [8]J.Parker.DesignfrDistributedMemryVersinftheRlls-RyceANSECde. [9]ShariTrewin.PUL-EMPrttypeUserGuide.TechnicalReprtEPCC-KTP-PUL-EM- PROT-UG. PROT-UG1.2,EdinburghParallelCmputingCentre,July1992. TechnicalReprtEPCC-EXT92-RR-DESIGN,EdinburghParallelCmputingCentre, 16
![EPCC-KTP-PUL-RD- [6]R.AlasdairA.Bruce.CHIMPVersin1.0UserGuide.TechnicalReprtEPCC-KTP- [5]R.AlasdairA.Bruce.CHIMPVersin1.0InstallatinGuide.TechnicalReprtEPCC- CHIMP-USER1.](/docs-images/51/13797710/images/page_17.jpg "3,EdinburghParallelCmputingCentre,Nvember1992. KTP-CHIMP-INST1.2,EdinburghParallelCmputingCentre,January1993. [8]J.Parker.DesignfrDistributedMemryVersinftheRlls-RyceANSECde. [9]ShariTrewin.")
Ž Ž Ň Ň Č ú Ď Ř Á Ó ž ž Ú ž ž Ň Á Š ž É Á Ň Ň Ň ú Ú Š Ó ž Ř ú Á ž Ď ú ú Ú Ú Ň Ž Á Ž Ž Á Ž Č É Ó Á Ž Ž Ř Ž Ř Ž Ř Ž Ř Ž Ž Ř Ž Ž Ž Ř Ž Ž Ž Ž Ř ú Ž Ž Ř Ý Š Ď ž Ý ž Ý Ď Ď Ž Á ú Š Á ž Ď ŽŽ Š Á Ň Ý ž Ď ú Č Ú
I Have...Who Has... Multiplication Game
How to play the game: Distribute the cards randomly to your students. Some students may get more than one card. Select a student to begin by reading their card aloud. (example: 35. who has 4x4?) 35 4 x
RIGHT-OF-WAY ACQUISITION AND BRIDGE CONSTRUCTION BONDS 7/01/12 341150MD9 341150ND8 341150QR4
RIGHT-OF-WAY ACQUISITION AND BRIDGE CONSTRUCTION BONDS CUSIP Numbers Maturity Date Series 2002 Dated 1/15/2002 Series 2002A New & Refunding Dated 9/01/2002 Series 2003A Dated 9/15/2003 7/01/12 341150MD9
Catalogue 4. Arctic Arctique. Nautical Charts and Publications Cartes et publications nautiques
Hphc vc vc hph c h Pbc pbc cc c www.ch.c.c www.c.c.c 3 H ÉP Wh p 3-3- H / -Q m m p & h --3 P m -9-9 c.. f m -3- hch H P mp --3 W W / V W c Hb h Ww -- pp Hb -9-9 c vc w wc -3- Wm -- Hm Hw -- P / mch Whb
Practice Writing the Letter A
Aa Practice Writing the Letter A A a A a Write a in the blank to finish each word. c t re h d Write A in the blank to finish each word. nn US ndy Bb Practice Writing the Letter B B b B l P b Write b in
Copperplate Victorian Handwriting. Victorian. Exploring your History. Created by Causeway Museum Service
Victorian Coleraine Exploring your History Copperplate Victorian Handwriting Postcards courtesy of Coleraine Museum Collection Created by Causeway Museum Service In Victorian times hand writing was very
West Virginia. 79n. Revision: ECFA-PM-91-10 DECEMBER 1991 (BPD) State/Territory:
79n Revision: ECFA-PM-91-10 Sees. 1902(a (28, 1919 ( e (1 and (2, and 1919(f(2, 101-239 (Sees. 6901(b (3 and 4.38 (a (b The State assures that the requirements of 42 CFR 483.150(a, which relate to individuals
Printing Letters Correctly
Printing Letters Correctly The ball and stick method of teaching beginners to print has been proven to be the best. Letters formed this way are easier for small children to print, and this print is similar
MyOWNMcMaster Degree Pathway: Diploma in Business Administration & Bachelor of Arts in History
MyOWNMcMaster Degree Pathway: Diploma in Business Administration & Bachelor of Arts in History Requirements The MyOWNMcMaster degree pathway has three parts: diploma, elective and undergraduate courses.
Requirements The MyOWNMcMaster degree pathway has three parts: diploma, elective and undergraduate courses.
MyOWNMcMaster Degree Pathway: Diploma in Business Administration with a Concentration in Marketing & Bachelor of Arts in History Requirements The MyOWNMcMaster degree pathway has three parts: diploma,
The MyOWNMcMaster degree pathway has three parts: diploma, elective and undergraduate courses.
MyOWNMcMaster Degree Pathway: Diploma in Human Resources Management & Bachelor of Arts in History Requirements The MyOWNMcMaster degree pathway has three parts: diploma, elective and undergraduate courses.
9 Summary of California Law (10th), Partnership
9 Summary of California Law (10th), Partnership I. INTRODUCTION A. [ 1] Statutes Affecting Partnerships. B. Fictitious Business Name. 1. [ 2] In General. 2. [ 3] Fictitious Name Defined. 3. [ 4] Coverage
The ABC s of Web Site Evaluation
The ABC s of Web Site Evaluation by Kathy Schrock Digital Literacy by Paul Gilster Digital literacy is the ability to understand and use information in multiple formats from a wide range of sources when
Visa Smart Debit/Credit Certificate Authority Public Keys
CHIP AND NEW TECHNOLOGIES Visa Smart Debit/Credit Certificate Authority Public Keys Overview The EMV standard calls for the use of Public Key technology for offline authentication, for aspects of online
TN No. ~,' 79n. (BPDl 4.38. Revision: HCFA-PM-91-10 DECEMBER 1991 State/Territory: (a)
-- -... -.. -- 79n Revision: HCFA-PM-91-10 (BPDl Citation and 1919(f) (2), 4.38..JL Nurse Aide Training and c0i!itency Evaluation for Nursin~ Fac~ ~ties (a) The State assures that the requirements of 42
Auburn University Style Guide & Identification Standards Manual
y E k H PM 28 C 9 C MY M y K v B 10 k 0% : 60 64 % % x 11 C M MY Y K v 6 97 1% : % P PM 17 C 2 M MY Y K v 6 88 6% : % P PM 15 8 PM 17 2 B R G ID E & PM ID P E 15 8 T IC IF T IO PM 17 2 D T R D M L 0 0
STATE OF OKLAHOMA. 2nd Session of the 53rd Legislature (2012) AS INTRODUCED
STATE OF OKLAHOMA nd Session of the rd Legislature () HOUSE BILL 1 By: Cox AS INTRODUCED An Act relating to technology; amending O.S., Section., which relates to the Information Technology Consolidation
B. Franklin, Printer. LESSON 3: Learning the Printing Trade
B. Franklin, Printer Elementary School (Grades K-2) LESSON 3: Learning the Printing Trade OVERVIEW Benjamin Franklin was born January 17, 1706, to Josiah and Abiah Franklin. He was the ninth of eleven
TELE GREENLAND A/S (Referred to as TELE-POST) Wholesale Data Services. Annex C6. National IP Service. Service Description
TELE Greenland A/S Whlesale Data Services TELE GREENLAND A/S (Referred t as TELE-POST) Whlesale Data Services Natinal IP Service Service Descriptin 30.6.2015 Page 1 f 5 TELE Greenland A/S Whlesale Data
APES 2013 Janssen APES Student Information Name: Date: APES SCAVENGER HUNT
APES SCAVENGER HUNT Create an APES Information Box by collecting materials that represent the item below. All materials need to be marked with the corresponding letter or marked and labeled in a bag. You
MANDATE OF THE BOARD
1 MANDATE OF THE BOARD Introduction to Stewardship Duties The purposes and responsibilities outlined in this Mandate and accompanying Board materials are meant to serve as guidelines rather than inflexible
Pain-Free Injections
T N S Bk P-F Ij I P Bk DV Dv Iv D D - I 8 8 9 1 D v C U C Y N D j I W U v v I k I W j k T k z D M I v 965 1 M Tk C P 1 2 v T I C G v j V T D v v A I W S DD G v v S D @ v DV M I USA! j DV - v - j I v v
Missing and Exploited Children
U.. D f J ff f J P ff f Jv J Dqy Pv F R M Ex h A Dy f Lw Ef h Pb Pv A F Ay Tk F f M Ex h xh E U.. D f J ff f J P 810 vh NW. Wh, D 20531 E H. H, J. U.. Ay G L. Rb A Ay G Jff wkwk A A ff f Jv J Dqy Pv ff
US Code (Unofficial compilation from the Legal Information Institute)
US Code (Unofficial compilation from the Legal Information Institute) TITLE 26 - INTERNAL REVENUE CODE Subtitle D - Miscellaneous Excise Taxes CHAPTER 43 QUALIFIED PENSION, ETC., PLANS Please Note: This
STATEMENTS OF COST SPECIAL ASSESSMENTS SEPTEMBER, 2014
STATEMENTS OF COST SPECIAL ASSESSMENTS SEPTEMBER, 2014 WATER: a. Statement of Cost for constructing Water Distribution System to serve Greenwich Business Center Addition (east of Greenwich, south of 29
datasheet NVQ What is an NVQ? Who are these NVQs for? What is its purpose?
NVQ OCR Level 1 NVQ in Contact Centre Operations (03447) OCR Level 2 NVQ in Contact Centre Operations (03448) OCR Level 3 NVQ for Contact Centre Professionals (03449) OCR Level 4 NVQ for Contact Centre
SECTION 2: ADMISSION & RISK ASSESSMENT AUDIT INDICATORS
AUDIT INDICATORS Each record should be audited against each question. Where the record does not contain the required elements for audit, instructions are given below. Question 1 should be completed for
HOW TO CREATE A JOB POSTING FROM TEMPLATE IN THE ONLINE EMPLOYMENT SYSTEM (OES)
ANGELO STATE UNIVERSITY OFFICE OF HUMAN RESOURCES FAST-TRACK PROCEDURE GUIDE HOW TO CREATE A JOB POSTING FROM TEMPLATE IN THE ONLINE EMPLOYMENT SYSTEM (OES) PURPOSE: This guide describes the process for
X (b) The State waives the competency evaluation requirements for individuals who meet the requirements of 42 CFR 483.150(b)(1).
79n, P.L. 100-203 (Sec. 4.38 Nurse Aide Training and Competency Evaluation for Nursing Facilities (a) The State assures that the requirements of 42CFR 483.150(a), which relate to individuals deemed to
Kennesaw State University s Department of Sports and Recreation. Request for Information for A Department Personal Training Scheduling System Solution
STATEMENT OF WORK Kennesaw State University s Department of Sports and Recreation Request for Information for A Department Personal Training Scheduling System Solution Kennesaw State University s Department
Section 1. Finding Common Terms
Worksheet 2.1 Factors of Algebraic Expressions Section 1 Finding Common Terms In worksheet 1.2 we talked about factors of whole numbers. Remember, if a b = ab then a is a factor of ab and b is a factor
CARE COORDINATION PROTOCOL VERSION 3.1 Outline of Changes from Previous Version 3.0
CARE COORDINATION PROTOCOL VERSION 3.1 Outline of Changes from Previous Version 3.0 PAGE NO. SECTION CHANGES General 4 Definitions 5 Definitions The word re-assessment has been changed to reassessment
Dr.Web anti-viruses Visual standards
Dr.Web anti-viruses Visual standards Contents Who are we? The main Dr.Web logo Logos of Dr.Web products Registered trademarks Typography 1 Who are we? Doctor Web is a Russian developer of information security
Kennesaw State University s Department of Sports and Recreation
Kennesaw State University s Department of Sports and Recreation Request for Information for A facility management software system that includes a group fitness scheduling and tracking solution STATEMENT
Epidemiology of Adverse Events in Air Medical Transport. Russell D. MacDonald, MD, MPH, Brie Ann Banks, BSc, MD, Merideth Morrison
Egy Av Ev A M T R D. MD, MD, MPH, B A Bk, BS, MD, Mh M A Ojv: Th v y qy - v v gy g y. Mh: R y g y w vw g h w h y v- v- v v. Tw vw y v v gz h g h xy. Dv w v v, wh qy,000 gh,000 h w. R: Bw Jy, 2002, J 30,
How to decode your VIN number.
How to decode your VIN number. There are 17 numbers and letters (17 positions) in a VIN and you can divide them into three groups: World Manufacturer Identifier, Vehicle Descriptor Section, and Vehicle
Note: This information copied with permission. Thanks to Kevin K. Custer W3KKC, Masters Communications, Inc.
TV Channel, CATV and FM Broadcast Frequencies Note: This information copied with permission. Thanks to Kevin K. Custer W3KKC, Masters Communications, Inc. Newsgroups: sci.electronics From: andy@cbrown.claremont.edu
Summary of Hoshin Policy Deployment
Summary of Hoshin Policy Deployment The Starting Point: First, they must assure the business is healthy today. Second, they must assure the business will remain healthy in the future. Peter Drucker Hoshin
english parliament of finland
gh f fd 213 P cvd f h f y f h g 4 Fby 213. E H (Sc Dcc Py) w -cd S, P Rv (N C Py) F Dy S d A Jh (Th F Py) Scd Dy S. Th g c c 5 Fby, wh Pd f h Rbc S Nö d P f h f fwg h c 212. P g dc c 12 Fby h b f P M c.
NEGLIGENT INFLICTION OF EMOTIONAL DISTRESS IS STILL ALIVE IN TEXAS
NEGLIGENT INFLICTION OF EMOTIONAL DISTRESS IS STILL ALIVE IN TEXAS (I H Oy B Sy W) By F A. Sp 1 G W. (W) Hz 2 M Tx wy w p v w w Sp C Tx b 1993 By v. K. 3 Hwv, b Tx k k. T y b pp, b vb, y. I Tx p b by jy
Intermediate Micro. Expected Utility
Intermediate Micro Expected Utility Workhorse model of intermediate micro Utility maximization problem Consumers Max U(x,y) subject to the budget constraint, I=P x x + P y y Health Economics Spring 2015
2016 TOURNAMENT OF CHAMPIONS NORTHWEST ALL-STARS & SEATTLE YOUTH BASKETBALL
SAT RENTON HIGH SCHOOL 400 - S 2ND ST. 21ST RENTON, 98055 RHS 1 RHS 2 RHS 3 RHS 4 GIRLS ELITE PURPLE POOL C GIRLS ELITE PURPLE POOL D GIRLS 5TH POOL S GIRLS 7TH ROYAL POOL N 9:00AM EBC ELITE EXCEL 253
Analysing timetable clashes : the Conflict Matrix
Analysing timetable clashes : the Conflict Matrix Scenario Timetabling is the art of the possible based on the skill of compromise. Detecting possible areas of compromise in order to achieve a working
ECP Edit Decision Matrix
A3 21562 NPI sent in Invalid format Ensure the NPI submitted has a valid last byte (check digit) if sent without Highmark # in the secondary ID A3 21 145 If NPI only sent for provider, a valid taxonomy
With content marketing, you can move beyond measuring success in terms of impressions, awareness, or perception.
L k m k?j SHSMD y! A m k b mm y SHSMD b y k w y y m. Byj 4 000 mm y SHSMDm mb y w x b y y j bm y : F w b m y x A w m m w b b T w m Am H A R b w S b B b m k A m m m! V www. m. /b. Sy H Sy Mk Dm P Mk P V
Sticky News. sticky rice cooking school newsletter
S R C S V A T 3 HS SA 2009 S Nw w #05 m 2010 j v T L & S O I M T Ow C F... S C Nw C C A Smb 2010 M C S R C S BEST FOOD EXPERIENCE 2009 N F C w S R C S w w b Aw T 6 B F Ex A. A N F A Tv Tm Aw, w b M Ex
SIA EVENT CODE LIBRARY
CODE CODE NAME DESCRIPTION Address field AR AC restoral AC power has been restored unused AT AC trouble AC power has been failed unused BA Burglary alarm Burglary zone has been violated while armed zone
Batangas a State University Citizens Charter Revised 2015 1
Batangasas State University Citizens Charter Revised 2015 11 BB aa t aa nn gg aa ss SS tt aa tt ee U nn ii i vv ee r ss ii i tt yy CC ii i tt ii i zz ee nn ss CC hh aa r t ee rr Offiice of the Diirector
Vom Prototyp zum MVP. Peter Spisak Senior Lead Architect Online and VAS Development. Public Nicht vertraulich
V Py z VP P Sk S Achc O VAS Dv Pbc Nch vch Py DSCOVER, DSRUPT, DEVER Pbc Nch vch x C DSCOVER, DSRUPT, DEVER 3 Pbc Nch vch DSCOVER, DSRUPT, DEVER 4 C - Dvb C C Pbc Nch vch DSCOVER, DSRUPT, DEVER 5 Dcb wh
Utility. M. Utku Ünver Micro Theory. M. Utku Ünver Micro Theory Utility 1 / 15
Utility M. Utku Ünver Micro Theory M. Utku Ünver Micro Theory Utility 1 / 15 Utility Function The preferences are the fundamental description useful for analyzing choice and utility is simply a way of
Technology (Information Technology) Benchmarks
Technology (Information Technology) Benchmarks Kindergarten A. With teacher support, demonstrate knowledge of ergonomics and electrical safety when using computers. B. With teacher support, explain that
Production Supervision Incorporated With Network Technology-A Solution For Controlling In-Process Inventory
T m4 2 T g mpg: www. g.cm/ Pc pv cp W Nw Tcgy-A F Cg -Pc vy v* DEPARTMENT Egg FM NDA PVT TD Amb E-m:y9@gm.cm ABTRACT cx mcg mgm mm c pc w--pc WP mgm pc vy c vb pc pc bcm v pc p. D gwg pc qm p cmc b mcg
Exponents. Learning Objectives 4-1
Eponents -1 to - Learning Objectives -1 The product rule for eponents The quotient rule for eponents The power rule for eponents Power rules for products and quotient We can simplify by combining the like
m Future of learning Zehn J a hr e N et A c a d ei n E r f o l g s p r o g r a m Cisco E x p o 2 0 0 7 2 6. J u n i 2 0 0 7, M e sse W ie n C. D or n in g e r, b m u k k 1/ 12 P r e n t t z d e r p u t
Some strong sufficient conditions for cyclic homogeneous polynomial inequalities of degree four in nonnegative variables
Available online at www.tjnsa.com J. Nonlinear Sci. Appl. 6 (013), 74 85 Research Article Some strong sufficient conditions for cyclic homogeneous polynomial inequalities of degree four in nonnegative
Artist's Craft. Seuss photos may be found at either of the websites below: http://www.randomhouse.com/seussville/morefun/ted.html
A-Book-A-Week: Cllassroom Instructiion Dr. Seuss's ABC Acctti ivvi ittyy Caarrd #1 Suuggggeesstteed Acctti ivvi ittyy Orrdeerr Dr. Seuss (pseudonym of Theodore Seuss Geisel) will become an important part
INDIANA. 79n Revision' HCFA-PM-91-10 DECEMBER 1991 State/Territory: 4.38. Nurse Aide Trainin and Com tenc Eva uat on or Nurs 09 Fac t as
79n Revision' HCFA-PM-91-10 BPO) citation 42 CFR 483.75/ 42 CFR 483 Subpart 0/ Secs. 1902{a)28), 1919e)1) and 2), and 1919{f){2), P.L. 100-203 sec.~ 4211a)3»/ P.L. 101-239 Secs. 6901 b) 3) and 4»/ P.L.
A Beginner s Guide To English Grammar
A Beginner s Guide To English Grammar Noncredit ESL Glendale Community College Concept by: Deborah Robiglio Created by: Edwin Fallahi, Rocio Fernandez, Glenda Gartman, Robert Mott, and Deborah Robiglio
Islands 1 Wordlist. Islands Alphabet booklet. Islands 1 Grammar Booklet. Islands 1 Pupils Book. Islands 1 Activity Book.
Islands 1 Junior A Components Islands Alphabet let Islands 1 Islands 1 Pupils Book Islands 1 Islands 1 Online World Book Also: Teacher s Book Test Audio material (in the ActiveTeach) Online World ActiveTeach
Identity Guidelines. by SMARTBEAR
Identity Guidelines version 1.0 nov 2 2012 Conteents SmartBear Corporate Identity Guide Contents 3...Introduction 4... Brand Architecture 5... The SmartBear Brand 6-7... Sub-Brand Family 8... Why and How
CALIFORNIA S TRADE PUBLICATION FOR THE HOME LOAN ORIGINATOR
CORN TRD PUBCTON OR TH HOM ON ORGNTOR OUTTNDNG COMPNY O TH MONTH YOUR PRMR R TT MORTGG NDR m gg mm 9 % g % H B T m gg v m w O f f H R DWOR K! % mm w NO DM N J B C R w g wb b w v B H / P BB B B C T v f
Section 303(g)(2)(G) of the Controlled Substances Act (21 U.S.C. 823(g)(2)(G)) is amended. (1) by striking clause (ii) and inserting the following:
Section XX. Definitions. Section 303(g)(2)(G) of the Controlled Substances Act (21 U.S.C. 823(g)(2)(G)) is amended (1) by striking clause (ii) and inserting the following: (ii) The term qualifying practitioner
Chromosome Mapping Assignment INSTRUCTIONS
INSTRUCTIONS PROCEDURE A: 1) Examine the diagram of perch chromosomes supplied. They have been removed from the nucleus of the white blood cell after replication. 2) Cut out each chromosome map of these
Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr Ss Tt Uu Vv Ww Xx Yy Zz 1 2 3 4 5 6 7 8 9 0
Brand Standards 1 Header Font Lobster 1.4 Regular is the header font for Wildwood. This font should always appear with a gradient and rounded stroke. This should be used for promotion, ad headlines and
ISLAND COUNTY BOARD OF COUNTY COMMISSIONERS (including Diking Improvement Dist. #4)
IMPORTANT Note: The Public Hearing on proposed Ordinance C-42-05 Amending Chapter 17.02 ICC Relating to Type 5 Stream Buffers is going to be rescheduled -- see agenda item 7(a). Regular Meeting Agenda
CS4700/CS5700 Fundamentals of Computer Networking
CS4700/CS5700 Fundamentals of Computer Networking Prof. Alan Mislove Lecture 2: Overview Slides adapted with permission from Eugene Ng, Rice COMP 413 September 10th, 2009 What is a network? 2 What is a
Handout #Ch7 San Skulrattanakulchai Gustavus Adolphus College Dec 6, 2010. Chapter 7: Digraphs
MCS-236: Graph Theory Handout #Ch7 San Skulrattanakulchai Gustavus Adolphus College Dec 6, 2010 Chapter 7: Digraphs Strong Digraphs Definitions. A digraph is an ordered pair (V, E), where V is the set
SUPPLY CHAIN MANAGEMENT
FUNDAMENTALS of SUPPLY CHAIN MANAGEMENT Twelve Drivers of Competitive Advantage Technische Universitat Darmstadt Fachberei~h 1 Betriebswirtschaftliche Biblibthek Inventar-Nr.:.. Abs.ell-Nr, A.I.JM1 John
Internal Revenue Service
Internal Revenue Service Department of the Treasury Number: 200350006 Release Date: 12/12/03 Index Number: 0355.00-00, 0368.00-00 Washington, DC 20224 Person to Contact: Telephone Number: Refer Reply To:
McGraw Hill Wonders. Reading At A Glance. Kendra Stuppi
McGraw Hill Wonders Reading At A Glance Kendra Stuppi Thank you for downloading/purchasing! 0 Kendra Stuppi All rights reserved by author. Permission to copy for single classroom use only. Electronic distribution
Ź Ź ł ź Ź ś ź ł ź Ś ę ż ż ł ż ż Ż Ś ę Ż Ż ę ś ź ł Ź ł ł ż ż ź ż ż Ś ę ż ż Ź Ł Ż Ż Ą ż ż ę ź Ń Ź ś ł ź ż ł ś ź ź Ą ć ś ś Ź Ś ę ę ć ż Ź Ą Ń Ą ł ć ć ł ł ź ę Ś ę ś ę ł ś ć ź ś ł ś ł ł ł ł ć ć Ś ł ź Ś ł
October 26, 2012. Bradley Weldon, Policy Analyst. Office of the Information & Privacy Commissioner for British Columbia
Office of the Information & Privacy Commissioner Protecting privacy. Promoting transparency. Bradley Weldon, Policy Analyst October 26, 2012 Discussion topics 1. The role of the OIPC 2. FIPPA and PIPA
advertise to announce that a product is for sale or that a service is offered in order to encourage people to buy it or to use it
Aa Acquisition process by which a company buys another company advertise to announce that a product is for sale or that a service is offered in order to encourage people to buy it or to use it advertiser
CROSS REFERENCE. Cross Reference Index 110-122. Cast ID Number 110-111 Connector ID Number 111 Engine ID Number 112-122. 2015 Ford Motor Company 109
CROSS REFERENCE Cross Reference Index 110-122 Cast ID Number 110-111 Connector ID Number 111 112-122 2015 Ford Motor Company 109 CROSS REFERENCE Cast ID Number Cast ID Ford Service # MC Part # Part Type
State Capability Assessment Project. Draft Questions
State Capability Assessment Project Draft Questions OPERATIONAL COMMUNICATIONS Capability Description: Ensure the capacity for timely communications in support of security, situational awareness, and operations
No. 130. An act relating to compensation for certain state employees. (H.780) It is hereby enacted by the General Assembly of the State of Vermont:
No. 130. An act relating to compensation for certain state employees. (H.780) It is hereby enacted by the General Assembly of the State of Vermont: * * * Exempt Employees in the Executive Branch * * *
Questions & Answers: 0.5% Physician Payment Discount (Bulletin #4597) Questions Summary
Questions Summary 1. What is the 0.5% physician payment discount?... 2 2. How long is the 0.5% discount in effect?... 2 3. Who is subject to the 0.5% discount?... 2 4. Do physicians have to reduce their
Lower Austria The Big Travel Map
:,000 y P, y y y y y y, y jy, jy & y y! NöI 00 Pö Nö, +//90009000 @ : / : : N P I: 06 : Nö, 00 Pö, Nö, j I 0 y: ü : : y & : Nö I: / y: &, 00 Pö V P O O UI Pö / /6 : y y N y y I q,,, y, y, I y, y jy P y
SERVER CERTIFICATES OF THE VETUMA SERVICE
Page 1 Version: 3.5, 4.11.2015 SERVER CERTIFICATES OF THE VETUMA SERVICE 1 (18) Page 2 Version: 3.5, 4.11.2015 Table of Contents 1. Introduction... 3 2. Test Environment... 3 2.1 Vetuma test environment...
TIE Kinetix BRAND GUIDE. Global Marketing
TIE Kinetix BRAND GUIDE Global Marketing Company Profile Official Typography Logo Usage Official Brand Colors Used Dimensions Video Standards BRAND GUIDE VERSION 1.0-10 October 2013 1. Introduction 3 1.1.
Policy ALCOHOL AND DRUG BRI-HS-PI-00002
Policy ALCOHOL AND DRUG Effective: November 21, 2014 1. Policy Statement As a responsible employer, Brion Energy Corporation ( Brion or the Company ) has an interest in establishing programs to promote
SEATTLE CENTRAL COMMUNITY COLLEGE DIVISION OF SCIENCE AND MATHEMATICS. Oxidation-Reduction
SEATTLE CENTRAL COMMUNITY COLLEGE DIVISION OF SCIENCE AND MATHEMATICS OxidationReduction Oxidation is loss of electrons. (Oxygen is EN enough to grab e away from most elements, so the term originally meant
Cree 5-mm Round LED C503C-WAS/WAN
Cree 5-mm Round LED PRODUCT FAMILY DATA SHEET CLD-CT1098.008 PRODUCT DESCRIPTION Round LEDs offer superior light output for excellent readability in sunlight and dependable performance. They provide extremely
County Council of Cuyahoga County, Ohio. Resolution No. R2014-0200
County Council of Cuyahoga County, Ohio Resolution No. R2014-0200 Sponsored by: County Executive FitzGerald/Department of Workforce Development, in partnership with City of Cleveland, as designated Local
SERVER CERTIFICATES OF THE VETUMA SERVICE
Page 1 Version: 3.4, 19.12.2014 SERVER CERTIFICATES OF THE VETUMA SERVICE 1 (18) Page 2 Version: 3.4, 19.12.2014 Table of Contents 1. Introduction... 3 2. Test Environment... 3 2.1 Vetuma test environment...
Community. Collaboration. Careers.
Cy. Cb. C. I h My S Ey Ph f P P 2 Tb f C I h My S Ey Ph...4 Cg T My S C Ey...6 Hw MSEP wk f y...6 Ph... 7 Hw MSEP wk f... 7 Why H My S?...8 B C...8 Cy-b v...8 P-b v...9 Th MSEP P Bf...10 Th v f bg MSEP...
Sample Identification Cards Reference Booklet
Sample Identification Cards Reference Booklet HPMS50 sw Webidcards Dev. 1/8/06 Rev. 2/07, 3/07, 4/07, 5/07, 5/10/07, 8/07, 12/07, 2/08 Table of Contents Commercial HMO Plans...2 Medicare Advantage Plans
Office Management System STAFFING
Office Management System STAFFING Office Management System STAFFING Table Of Contents Chapter One: Introduction To The Staffing Management System 1. Lawyers As Employers I1. Confidentiality Within The
ICAEW CERTIFICATE IN INSOLVENCY SYLLABUS JULY 2013
ICAEW CERTIFICATE IN INSOLVENCY SYLLABUS JULY 2013 LEARNING OUTCOMES Module aim To ensure that students have a good grounding in the fundamentals of insolvency work to enable them to work effectively in
Canadian Math Kangaroo Contest
Canadian Math Kangaroo Contest Part A: Each correct answer is worth 3 points 1. In which of the figures is exactly one half of the area shaded? (A) (B) (C) (D) (E) 2. My umbrella has the letters KANGAROO
Form: Parental Consent for Blood Donation
A R C Wt, C 20006 Ptl Ct f B i Ifi T f t y t ll f i y tl t q y t l A R C ly. Pl ll 1-800-RE-CROSS (1-800-733-2767) v. if y v q r t t i I iv t f yr,, t, y v t t: 1. Y y t t l i ly, 2. Y y t t t l i ( k
The Retail Distribution Review
The Retail Distribution Review STAKEHOLDER CONSULTATION WORKSHOPS 23 and 25 FEBRUARY 2015 Presenters: Jonathan Dixon: DEO, Insurance Caroline da Silva: DEO, FAIS Leanne Jackson: Head, Market Conduct Strategy
Tabcorp Holdings Limited
(ABN 66 063 780 709) Audit, Risk and Compliance Committee Terms of Reference Contents 1 Introduction to the Terms of Reference 1 1.1 General 1 1.2 Board approval 1 1.3 Definitions 1 2 Role of the Committee
CHAPTER 274 SB 9-FN-A-LOCAL FINAL VERSION
SB -FN-A-LOCAL FINAL VERSION 0 SESSION - 0/0 SENATE BILL AN ACT SPONSORS: -FN-A-LOCAL relative to salary increases for state employees and making appropriations therefor, establishing a legislative oversight
GIFS Open Access RMTN User Guide (8/1/2012)
GIFS Open Access RMTN User Guide (8/1/2012) File Service. The Global Telecommunication System (GTS) Internet File Service (GIFS) is a service for World Meteorological Organization (WMO) Regional Association
Internal Revenue Service
Internal Revenue Service Index Number: 302.03-00, 355.00-00 302.02-00, 355.04-00 Number: 199923011 Release Date: 6/11/1999 Department of the Treasury Washington, DC 20224 Person to Contact: Telephone Number:
z 0 and y even had the form
Gaussian Integers The concepts of divisibility, primality and factoring are actually more general than the discussion so far. For the moment, we have been working in the integers, which we denote by Z
CDG 10 X 20 Tradeshow Booth Exhibit Setup Instructions
CDG 10 X 20 Tradeshow Booth Exhibit Setup Instructions Hosted Backup Modularity (MBS) CABS Hosted Backup Modularity (MBS) CABS Are your vital company Our highly flexible, web- The highest standard Are
G d y n i a B u d o w a b o i s k a w i e l o f u n k c y j n e g o o n a w i e r z c h n i p o l i u r e t a n o w e j p r z y S z k o l e P o d s t a w o w e j n r 3 5 w G d y n i N u m e r o g ł o s