| 三维不规则区域热传导问题无网格方法的数值模拟 |
| |
| 引用本文： | 戴艳俊,吴学红,陶文铨.三维不规则区域热传导问题无网格方法的数值模拟[J].工程热物理学报,2011(7). |
| |
| 作者姓名： | 戴艳俊 吴学红 陶文铨 |
| |
| 作者单位： | 热流科学与工程教育部重点实验室西安交通大学能源与动力工程学院;郑州轻工业学院机电工程学院; |
| |
| 基金项目： | 国家自然科学基金(No.50636050;No.21006099); 国家863项目(No.2009AA01A131) |
| |
| 摘 要： | 配点型无网格法是纯无网格法,它不需要任何背景网格,效率高。本文用加权最小二乘配点方法(Weighted Least-Squares Collocation Method-WLSCM)计算不规则区域热传导问题,形函数采用径向基函数近似。通过二维具有分析解的实例表明WLSCM方法精度高,稳定性好且具有较高的计算效率。此外,将WLSCM方法应用于工程中常见的三维不规则区域热传导问题,结果表明:WLSCM方法的计算结果与FLUENT的计算结果符合很好。
|
| 关 键 词： | 无网格方法 不规则区域 最小二乘 径向基函数 |
Weighted Least-Squares Collocation Method(WLSCM) for 3-D Heat Conduction Problems in Irregular Domain |
| |
| DAI Yan-Jun WU Xue-Hong TAO Wen-Quan.Weighted Least-Squares Collocation Method(WLSCM) for 3-D Heat Conduction Problems in Irregular Domain[J].Journal of Engineering Thermophysics,2011(7). |
| |
| Authors: | DAI Yan-Jun WU Xue-Hong TAO Wen-Quan |
| |
| Institution: | DAI Yan-Jun~1 WU Xue-Hong~2 TAO Wen-Quan~1 (1.Key Laboratory of Thermal Fluid Science and Engineering,Ministry of Education,School of Energy & Power Engineering,Xi'an Jiaotong University,Xi'an 710049,China,2.College of Electromechanical Science and Engineering,Zhengzhou University of Light Industry,Zhengzhou 450002,China) |
| |
| Abstract: | The collocation method is a truly meshless method and requires no background meshes, which has high computational efficiency.In this paper,the weighted least-squares collocation method (WLSCM)is adopted to compute 3-D heat conduction problems in irregular domains.Radial basis function(RBF)is selected to construct the approximation function.A 2-D case that has analytical solution is simulated by the proposed method and the outcomes verify that the present method can obtain desired accuracy,stability and effi... |
| |
| Keywords: | meshless methods irregular domain least-squares radial basis function |
| 本文献已被 CNKI 等数据库收录！ |
