| .瞬态热传导问题的加权最小二乘无网格法[J].计算力学学报,2008,25(6): |
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| 瞬态热传导问题的加权最小二乘无网格法 |
| Meshless weighted least-square method for transient heat conduction problems |
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| DOI：10.7511/jslx20086168 |
| 中文关键词: 无网格法,移动最小二乘法,权函数,瞬态热传导 |
| 英文关键词:meshless method,moving least-square method,weight function,transient heat conduction |
| 基金项目: |
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中国石油大学(华东)
储运与建筑工程学院，中国石油大学(华东)
石油工程学院，上汽通用五菱汽车股份有限公司青岛分公司技术工程部 |
| 摘要点击次数: 3351 |
| 全文下载次数: 753 |
| 中文摘要: |
| 加权最小二乘无网格法是一种基于节点信息的纯无网格法,该方法使用最小二乘法建立系统的变分原理,通过移动最小二乘法构造近似函数,控制方程在节点处的残量使用最小二乘法予以消除,边界条件通过罚函数法引入。本文推导了瞬态热传导问题的加权最小二乘无网格计算格式,编制了相应的计算程序,算例结果表明,该方法具有精度高、前后处理简单的优点,是一种高效的的新型无网格法。 |
| 英文摘要: |
| Meshless Weighted Least-Square Method(MWLS),which is only based on nodes' information.In MWLS the variation principle of system is constructed with weighted least-square residual method,and the approximation function is built by moving least-square method.The boundary conditions are enforced with a penalty function.Appling MWLS to solve transient heat conduction problems,the numerical results show that MWLS has several advantages such as high accuracy and easy for pre-process and post-process. |
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