Numericalanalysisforwaterentryofwedgesbasedon acomplexvariableboundaryelementmethod
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摘要: 基于速度势理论,利用复数变量边界元法对二维楔形体常速入水冲击的时域解进行了数值研究。 以相似解作为数值计算的初始条件,采用时域解射流线性近似处理方法,利用复数变量边界元法进行求解,以 减少计算量和数值误差。深入讨论了扩展坐标系求时域解、射流处理、网格划分和网格更新等关键技术。最 后数值计算了不同斜升角楔形体入水时的自由液面隆起、射流飞溅和压力分布,经与相似解结果作比较,自由 液面隆起轮廓基本吻合,而压力分布更符合实际情况,从而证明了模型及分析方法的正确性。Abstract: Thewaterentryproblemofthe2-D wedgewithaconstantspeedisnumericallyanalyzed basedonthevelocitypotentialtheory.Anewjetlinearapproximationmethodisincorporatedintothe complexvariableboundaryelementsolverthatdescribesthejetgeneratedbythewaterentryofwedgestonearlysimulatethefreesurfaceshape, jetandpressuredistributionalongthewettedareaofthe wedgecontour.AndthesametimeCauchyintegraltheoremisusedastheintegrationequation,and thesimilaritysolutionastheinitialcondition.Someimportantnumericaltechniquesarediscussedin detailsuchastimemarchingsolution,jettreatment,gridmeshgenerationandthefreesurfacedeformationupdating. Finally,thepressuredistributionandwaveelevationforthewedgeswithdifferentdeadriseanglesaregotten. Theproposedmethodisvalidatedthroughcomparisonswiththesimilaritysolutionandgoodapproximationsarefound.
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Key words:
- fluidmechanics /
- complexboundaryelementmethod /
- waterentryimpact\wedge /
- jetlinearapproximation /
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