This paper introduces the use of partition of unity method for the development of a high order finite volume discretization scheme on unstructured grids for solving diffusion models based on partial differential equat...This paper introduces the use of partition of unity method for the development of a high order finite volume discretization scheme on unstructured grids for solving diffusion models based on partial differential equations.The unknown function and its gradient can be accurately reconstructed using high order optimal recovery based on radial basis functions.The methodology proposed is applied to the noise removal problem in functional surfaces and images.Numerical results demonstrate the effectiveness of the new numerical approach and provide experimental order of convergence.展开更多
为减小赛艇行驶过程中的阻力、提高运动员的成绩,对赛艇艇型进行优化。采用RNG k-ε(renormalizationgroup k-ε)湍流模型、VOF(volume of fluid)方法对单人赛艇的周围流场和阻力特性进行了数值计算,获得了赛艇周围的速度分布和压力分...为减小赛艇行驶过程中的阻力、提高运动员的成绩,对赛艇艇型进行优化。采用RNG k-ε(renormalizationgroup k-ε)湍流模型、VOF(volume of fluid)方法对单人赛艇的周围流场和阻力特性进行了数值计算,获得了赛艇周围的速度分布和压力分布等流场信息,实验结果证实了数值计算的可靠性。利用数值计算对赛艇艇型进行了优化,得到了赛艇阻力与艇型的关系。研究结果对于改善赛艇性能、减小赛艇阻力具有重要的参考价值和指导意义。展开更多
基金supported by PRIN-MIUR-Cofin 2006by University of Bologna"Funds for selected research topics"
文摘This paper introduces the use of partition of unity method for the development of a high order finite volume discretization scheme on unstructured grids for solving diffusion models based on partial differential equations.The unknown function and its gradient can be accurately reconstructed using high order optimal recovery based on radial basis functions.The methodology proposed is applied to the noise removal problem in functional surfaces and images.Numerical results demonstrate the effectiveness of the new numerical approach and provide experimental order of convergence.
文摘为减小赛艇行驶过程中的阻力、提高运动员的成绩,对赛艇艇型进行优化。采用RNG k-ε(renormalizationgroup k-ε)湍流模型、VOF(volume of fluid)方法对单人赛艇的周围流场和阻力特性进行了数值计算,获得了赛艇周围的速度分布和压力分布等流场信息,实验结果证实了数值计算的可靠性。利用数值计算对赛艇艇型进行了优化,得到了赛艇阻力与艇型的关系。研究结果对于改善赛艇性能、减小赛艇阻力具有重要的参考价值和指导意义。
