A desingularized high order panel method based on Non-Uniform Rational B-Spline （NURBS） was developed to deal with three-dimensional potential flow problems. A NURBS surface was used to precisely represent the body ...A desingularized high order panel method based on Non-Uniform Rational B-Spline （NURBS） was developed to deal with three-dimensional potential flow problems. A NURBS surface was used to precisely represent the body geometry. Velocity potential on the body surface was described by the B-spline after the source density distribution on the body surface had been solved. The collocation approach was employed to satisfy the Neurnann boundary condition and Gaussian quadrature points were chosen as both the collocation points and the source points. The singularity was removed by a combined method, so the process of the numerical computation was non-singular. In order to verify the method proposed, the unbounded flow problems of sphere and ellipsoid, the wave-making problem of a submerged ellipsoid were chosen as computational examples. It is shown that the numerical results are in good agreement with analytical solutions and other numerical results in all cases, and sufficient accuracy of numerical solution can be reached with a small number of panels.展开更多
针对三角面元目标提出了一种高效率的空间分割算法.该方法以一种空间点与单位立方体位置关系的判断法则为基础,并逐渐延拓到参数直线、三角形的空间分割上,给出了一种新的三角形面元目标快速分割的解决方法.介绍了该方法在参数曲线、NUR...针对三角面元目标提出了一种高效率的空间分割算法.该方法以一种空间点与单位立方体位置关系的判断法则为基础,并逐渐延拓到参数直线、三角形的空间分割上,给出了一种新的三角形面元目标快速分割的解决方法.介绍了该方法在参数曲线、NURBS(Non-Uniform Rational B-Spline)曲面目标的空间均匀分割上的应用,并给出了非均匀分割的处理方法.与计算机图形技术中最常用的BSP(Binary Space Partitioning)技术的比较中发现,对于特定情形,该算法的执行效率优于BSP法.通过实例证明了该算法的有效性和可靠性.展开更多
基金supported by the National Natural SciencFoundation of China (Grant No. 10572094)the NaturScience Foundation of Shanghai (Grant No. 06ZR14050)
文摘A desingularized high order panel method based on Non-Uniform Rational B-Spline （NURBS） was developed to deal with three-dimensional potential flow problems. A NURBS surface was used to precisely represent the body geometry. Velocity potential on the body surface was described by the B-spline after the source density distribution on the body surface had been solved. The collocation approach was employed to satisfy the Neurnann boundary condition and Gaussian quadrature points were chosen as both the collocation points and the source points. The singularity was removed by a combined method, so the process of the numerical computation was non-singular. In order to verify the method proposed, the unbounded flow problems of sphere and ellipsoid, the wave-making problem of a submerged ellipsoid were chosen as computational examples. It is shown that the numerical results are in good agreement with analytical solutions and other numerical results in all cases, and sufficient accuracy of numerical solution can be reached with a small number of panels.
文摘针对工业领域中导管的三维重建效率低的问题,提出了一种基于中心线匹配的导管三维重建方法.该方法首先通过导管的平面灰度图像提取出中心线和边缘线,根据立体视觉原理,以非均匀有理B样条(Non-uniform rational B-spline,NURBS)曲线作为导管中心线的描述工具和匹配基元,利用其透视投影不变性,重建导管的空间中心线,并通过边缘线计算导管的外径,最后利用三维建模技术重建导管的CAD模型.相对于现有导管三维重建方法,该方法具有测量效率高,操作简单的特点.实验结果表明,该方法的导管三维重建时间可控制在1分钟内,重投影误差为0.284像素,导管两端面中心点的测量误差为0.242 mm,外径测量误差为0.158 mm.
文摘针对三角面元目标提出了一种高效率的空间分割算法.该方法以一种空间点与单位立方体位置关系的判断法则为基础,并逐渐延拓到参数直线、三角形的空间分割上,给出了一种新的三角形面元目标快速分割的解决方法.介绍了该方法在参数曲线、NURBS(Non-Uniform Rational B-Spline)曲面目标的空间均匀分割上的应用,并给出了非均匀分割的处理方法.与计算机图形技术中最常用的BSP(Binary Space Partitioning)技术的比较中发现,对于特定情形,该算法的执行效率优于BSP法.通过实例证明了该算法的有效性和可靠性.
