全非線性自由面邊界條件求解船舶興波問題j

1、全非線性自由面邊界條件求解船舶興波問題王中1盧曉平1王瑋2(1.海軍工程大學(xué)船舶與動(dòng)力學(xué)院，武漢430033；2.海軍裝備研究院，北京100073)摘要：要：采用Wyatt公式迭代滿足非線性自由面邊界條件求解船舶非線性興波問題，自由面物理量導(dǎo)數(shù)采用坐標(biāo)平面變換方法計(jì)算，遠(yuǎn)前方無波條件通過Raven優(yōu)化得到的四點(diǎn)向前差分格式結(jié)合配置點(diǎn)前移來滿足，且將面元上置以消除自由面誘導(dǎo)速度計(jì)算的奇異性，提高迭代的收斂性和穩(wěn)定性。通過對(duì)Wigley船型

2、和Series60船型興波阻力及波形計(jì)算，計(jì)算結(jié)果與線性Dawson方法及試驗(yàn)結(jié)果比較，驗(yàn)證了本方法的穩(wěn)定性和精度，且對(duì)非線性興波阻力計(jì)算過程中的程序編制、網(wǎng)格配置、阻力計(jì)算等諸多環(huán)節(jié)進(jìn)行了探討和分析。關(guān)鍵詞：關(guān)鍵詞：船舶；興波阻力；面元法；Rankine源；全非線性；水動(dòng)力學(xué)中圖分類號(hào)：中圖分類號(hào)：U661.31文獻(xiàn)標(biāo)識(shí)碼：文獻(xiàn)標(biāo)識(shí)碼：ASolutiontowavemakingproblemusingfullynonlinearfre

3、esurfaceboundaryconditionWangZhong1LuXiaoping1WANGWei2(1.ShipPowerEngineeringCollegeNavalUniversityofEngineeringWuhan430033China2.NavalAcademyofArmamentBeijing100073China)Abstract:Wyatt’sexpressionsareusedtosolvethefully

4、nonlinearwavemakingproblem.Thederivativesofthevelocitypotentialarecalculatedwiththecodinatetransfmationmethod.BothRaven’soptimizedfourpointupwarddifferenceschemecollocationpointshiftmethodareusedtosatisfytheradiationcond

5、ition.Desingularizationisachievedbyraisingthepaneladistanceabovethecollocationpoint.Thecomputationswerecarriedoutftwodifferentshipmodels:WigleyhullSeries60hull.Thewaveprofilewavemakingresistancewerecalculatedcomparedwith

6、bothofthelinearDawsonmethodresulttheexperimentaldatawhichvalidpresentmethod.Thecodingmethodmeshsettingresistancecalculationmethodwerediscussedbasedonwhichsomeconclusionshadbeendrawn.KeyWds:shipwavemakingresistancepanelme

7、thodRankinesourcefullynonlinearmethodhydrodynamics1自1986年以來，國內(nèi)外大批學(xué)者對(duì)全非線性勢(shì)流興波數(shù)值方法進(jìn)行了研究，一些比較成熟且被廣泛用于船舶設(shè)計(jì)的理論模型、數(shù)值方法和計(jì)算程序脫穎而出，如SHIPFLOW[1]，收稿日期：收稿日期：2009115；修回日期：修回日期：20091120?；痦?xiàng)目：基金項(xiàng)目：國防預(yù)研基金資助項(xiàng)目(9140A14070306JB11)。作者簡介：作者簡

8、介：王中(1981)男博士研究生主要研究方向?yàn)榇傲黧w力學(xué)Email:wangzhonghj@。圖1Wigley船側(cè)波形3結(jié)論與展望結(jié)論與展望參考文獻(xiàn)[1]JANSONCE.Potentialflowpanelmethodsfthecalculationoffreesurfaceflowswithlift[D].Gtebg:ChalmersUniversityofTechnology1997.[3]WYATTDC.Development

9、assessmentofanonlinearwavepredictionmethodologyfsurfacevessels[J].JournalofShipResearch200044(2):96107.[4]WILSONWFUTCFULLERTONAetal.Themeasuredpredictedwavefieldofmodel5365:AnevaluationofcurrentCFDcapability[C]Proceeding

10、softhe26thSymposiumonNavalHydrodynamics.RomeItaly:BollettinoUniversiteRicerca2006:118.[6]李世謨趙潤元高高.非線性興波阻力計(jì)算[J].武漢交通科技大學(xué)學(xué)報(bào)199620(05):519526.[7]宋永軍鄒早建徐海祥等.淺窄航道非線性興波阻力數(shù)值計(jì)算[J].船舶工程200527(04):3336.[8]陳京普朱德祥劉曉東.水面船非線性興波數(shù)值方法研究[