Turblence Analysis Using Petrov-Galerkin Finite Element Method with Exponential Weighting Functions and Its Integrated Software Development

指数加权函数Petrov-Galerkin有限元法湍流分析及其集成软件开发

• 批准号: 23560075
• 负责人: KAKUDA Kazuhiko
• 金额: $ 3.33万
• 依托单位: Nihon University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23560075/
• 关键词: 計算流体工学; 複雑流れ; 有限要素法; 粒子法; GPU; ソフトウェア; マーチングキューブ法; POV-Ray; コンピュータグラフィックス

We have proposed a finite element scheme based on the Petrov-Galerkin weak formulation using exponential weighting functions. We have also presented the particle approach for solving numerically complicated fluid flow problems. To overcome spurious oscillations in the standard MPS method, we have proposed to utilize the logarithmic-type weighting function and also take into the influence radius reduction for solving an auxiliary Poisson equation for the pressure field. The polygonization of numerical data has been constructed by using the marching cubes algorithm, and also the rendering has been illustrated in using the generated polygons and POV-Ray as the physics-based computer graphics. We have also presented the application of the GPU-based particle method to three-dimensional complicated fluid flow problems, namely the dam-breaking flow problem, and flow in a liquid ring pump with rotating impeller.

我们提出了一种基于Petrov-Galerkin弱公式的有限元格式，该格式使用指数权函数。我们还提出了求解数值复杂流体流动问题的质点方法。为了克服标准MPS方法中的虚假振荡，我们提出了用对数型权函数来求解压力场的辅助泊松方程，并考虑了影响半径的缩减。利用移动立方体算法构造了数值数据的多边形化，并以生成的多边形和POV-Ray作为基于物理的计算机图形学演示了绘制过程。我们还介绍了基于GPU的粒子方法在三维复杂流体流动问题中的应用，即溃坝流动问题和旋转叶轮液环泵中的流动问题。

项目成果

Three-dimensional Fluid Flow Simulations UsingGPU-based Particle Method

• DOI: 10.3970/cmes.2013.093.363
• 发表时间: 2013-07
• 期刊: Cmes-computer Modeling in Engineering & Sciences
• 影响因子: 2.4
• 作者: K. Kakuda;T. Nagashima;Y. Hayashi;Shu Obara;J. Toyotani;S. Miura;N. Katsurada;S. Higuchi;S. Matsuda

研究者情報

研究员信息

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• 发表时间: 2013
• 作者: Zhanpeng Lu;Tetsuo Shoji;Seiya Yamazaki;Kazuhiro Ogawa;Shinya Miyajima;伊藤民武;Yoshiyuki Y. YAMAGUCHI;林侑希,豊谷純,角田和彦
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• 发表时间: 2012
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• 通讯作者: 永島侃,小原俊介,三浦慎一郎,豊谷純,角田和彦

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• DOI: 10.3970/cmes.2012.088.017
• 发表时间: 2012-11
• 期刊: Cmes-computer Modeling in Engineering & Sciences
• 影响因子: 2.4
• 作者: K. Kakuda;T. Nagashima;Y. Hayashi;Shu Obara;J. Toyotani;N. Katsurada;S. Higuchi;S. Matsuda