外文翻譯--基于修正的sph方法數(shù)值模擬規(guī)則波對透空式結構物底部的沖擊作用(原文）

1、AppliedOceanResearch34 (2012) 173–186ContentslistsavailableatScienceDirectAppliedOceanResearchjournalhomepage:www.elsevier.com/locate/aporNumericalmodellingofregularwaveslammingonsubfaceofopen-piled structureswiththecorr

2、ectedSPHmethodRuiGao,BingRen ?, GuoyuWang,YongxueWangDalianUniversityofTechnology,Dalian116023,Liaoning,Chinaa r t i c l e i nf oArticlehistory:Received13February2011Receivedinrevisedform31July2011Accepted6Augu

3、st2011Available online 6 September 2011Keywords:SPHWaveslammingNumericalflumeab s t r a c tThepaper presentsa 2D SPHnumericalflumeto investigateregularwave slammingonan open-piledstructure.The model employsCS

4、PMand Riemannsolutionto discretizethe Navier–Stokesequations.Solidboundariesare simulatedby wall particles.The pressureof these dummyparticlesis determinedbya couplingapproach,which can keep the pressurefiel

5、d morestable near the boundaries.In addition,animprovedwall particles treatmentis usedfor accuratetrackingof impactingcharacteristicsaround thestructure.Then,the improvedSPH modelis employedto simulateregula

6、r wave impactingonthe subfaceofthe structure. The main featuresof velocityfieldand pressure field near the structureare presented.Andthe model is validated against the experimentaldata and a relativ

7、egood agreementis observed.© 2011 Elsevier Ltd. All rights reserved.1.IntroductionTheimpactingforcescausedbywaveslamminggiverisetolocalizeddamageandfatigueproblemsforstructuralelementssuchasoilplatformslocatedinth

8、esplashzone.Overthepastfewdecades,withthedevelopmentofnumericaltechniquefortreatingarbitraryfreesurface,theVOFtechniquehasbeenwidelyadoptedinavarietyofengineeringapplicationsinvolvingthenumericalsimulationofwaveimpacting

9、onoffshorestructures.Forexample,theimpactingpressuresareinvestigatedduetowaveslammingonsubfaceofopen-piledstructuresinthesplashzoneunderincom-ingsolitarywaves,linearwaves,cnoidalwavesandrandomwaves[1].Atwodimensionalnume

10、ricalmodelFSWL-2DandathreedimensionalnumericalmodelFSWL-3DforthesimulationofwaveslammingwiththeVOFmethod[2]arepresentedandcomparedwiththetheoreticalresults[3]. Aregularwaveandrandomwaveimpactingnumericalmodelisdeveloped

11、usingtheVOFmethodcombinedwithalocalheightfunction[4]. BasedonKleefsman’smodel,theimpactingloadsonjacket-typestructurescausedbyhead-onandobliquewavesisdiscussedandcomparedwiththeAIPmethod[5].However,theabovegird-basedmeth

12、odshavedifficultiessolv-ingproblemsoflargedeformationfreesurfaceflows,suchaswavebreakingandimpacting,whichrequireexpensivere-meshingalgo-rithmsorlocalgridrefinement.SmoothedParticleHydrodynamicsisameshfree,Lagrangian,par

13、ticlemethod,whichisparticularlysuitedtothesolutionandmodellingoflargescale,complexfree? Correspondingauthor.E-mailaddress:Bren@dlut.edu.cn(B.Ren).surfacefluidflows.Thetechniquehasbeenappliedto2Dfreesur-faceflows,includin

14、gthedambreakproblem,abore,andwavesshoalingonabeach[6]. Also,therunupofsolitarywavesandtheflowaroundthewavemakerinScottRussell’sexperimentalappa-ratusforproducingsolitarywavesareanalyzed[7,8].ASPH-LESmodel[9]isproposedto

15、simulatesolitarywavespropagationinshallowwaterwiththeprocessesofwaveshoaling,breaking.Themethodisalsoausefultoolforanalyzingtheforcesgeneratedbywaveovertoppingonthedecksofoffshorestructures[10].Sinceseveralmethodsaredeve

16、lopedtotacklesolidboundary[11,12],alotofrecentsuccessfulapplicationsofSPHtovarioussloshinghavebeenpublished.ItisappliedtotheproblemofmodellingsloshinginatwodimensionalwatermodelthatisarepresentationofascaledLNGtank[13].T

17、hesloshingmomentamplitudesinarectangulartankforawiderangeofrollingfrequenciesareinvestigatedusingSPHmethod[14].AndalsotheSPHresultoftheimpactpressureinthecaseofshallowwatersloshingforforcedrollingmotioniscomparedwithexpe

18、rimentalresult[15].Inaddition,animprovedincompressibleSPH(ISPH)methodispresentedasanattempttopredicttheimpactingpressuresinsloshingproblems[16].TheapplicationofSPHtoawiderangeofproblemshasledtosignificantextensionsandimp

19、rovementsoforiginalSPHmethod.TheproblemsofconsistencyandaccuracyoftheSPHmethodareaddressed[17].Becauseofthedeficiencyoftheintegraldomainnearthefreesurfaceboundary,thesummationofthekernelfunc-tiondoesnotequalto1anymore,wh

20、ichcouldintroduceerrorsintothecomputedresults.Basedonthekernelrenormalization,aCor-rectedSmoothedParticleMethod(CSPM)isproposedtoimprovethesimulationaccuracybothinsidetheproblemdomainandaroundtheboundaryarea.Andthemodeli

21、ssuccessfullyappliedtosimulatethe1Dbarand2Dplanestressproblems[15].Inspite0141-1187/$–seefrontmatter ©2011 Elsevier Ltd. All rights reserved.doi:10.1016/j.apor.2011.08.002R.Gaoetal./AppliedOceanResearch34 (2012) 173

22、–186 175Fig.2.Particlesconfigurationandpressurefields(d=0.6m,T=1.2s,H=0.15m).?? ? ??? (x-xj) ?W?x (z?zj)?W?x ?? (x-xj) ?W?z (z?zj)?W?z?? ? ? ·?? ??f?x?f?z?? ? =?? ? ???? f(rj)?f(r)? ?f?x ??? f(rj)?f(r)? ?f?z?? ? ?(1

23、0)TheCSPMhasbeenshowntobeveryeffectiveforthecorrec-tionoforiginalSPHmethod,asshownintheliteratures[23,24].However,forshocktreatmentinhydrodynamicproblems,theRie-mannsolvermustbetakenintoaccounttorecoverthenumericalinstab

24、ility.Recently,aRiemann-SPHmethodisconfirmedtohaveFig.3.Comparisonoftimehistoryofpressurebetweentwoboundarytreatments(d=0.6m,T=1.2s,H=0.15m).goodshocktreatmentcapabilities[16].Then,theRiemann-CSPMhydrodynamicgoverningequ