瞬态问题稳定性及弥散分析的无网格RKPM配点法研究

罗汉中; 刘学文; 黄醒春

doi:10.3879/j.issn.1000-0887.2011.06.010

瞬态问题稳定性及弥散分析的无网格RKPM配点法研究

doi: 10.3879/j.issn.1000-0887.2011.06.010

上海交通大学船舶海洋与建筑工程学院,上海 200240;

基金项目: 交通部西部交通建设科技资助项目(2009318000046)

详细信息

作者简介:
罗汉中(1983- ),男,江西人,博士生(E-mail:lough_me@163.com);黄醒春(1957- ),男,广西人,教授(联系人.E-mail:huangxc@sjtu.edu.cn).

中图分类号: O302
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- 被引次数: 0
出版历程
- 收稿日期: 2010-07-21
- 修回日期: 2011-04-13
- 刊出日期: 2011-06-15

Stability and Dispersion Analysis of Reproducing Kernel Collocation Method for Transient Dynamics

School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, P. R. China;
Siemens Industry Software(China) Co., Ltd., Shanghai 200042, P. R. China

摘要

摘要: 介绍了基于强形式的RKPM配点法求解瞬态动力问题的算法，并提出了采用RKPM配点法，配合时间域中心差分求解二阶波动方程的稳定性评价方法，并通过数值算例验证了此方法的正确性．此评价方法可以方便有效地评估出实际计算时的临界时间步长．通过数值算例比较可知，实际算例的计算临界时间步长与本评价方法，所预测的临界时间步长结果非常接近．给出了如何合理地选择RKPM形函数支撑域的建议．最后与径向基函数配点法进行了对比研究．
- RKPM配点法 /
- 稳定性分析 /
- 弥散分析 /
- 瞬态动力问题
Abstract: Reproducing kernel collocation method based on strong formulation was introduced for transient dynamics.von Neumann stability and dispersion analysis of reproducing kernel collocation method with central difference temporal discretization was derived to evaluate the stability condition for second order wave problem.The stability analysis algorithm proposed firstly given an approach to predict critical time step for second order wave problem which can greatly save computational time in application.A numerical test was conducted to validate this algorithm.The comparison of numerical critical time step and predicted results shows good agreement.The guidance to choose a proper support size of reproducing kernel shape function is also given.The results by radial basis collocation method are also listed for comparison.
- reproducing kernel collocation method(RKCM) /
- stability analysis /
- dispersion analysis /
- transient dynamics

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参考文献(31)

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瞬态问题稳定性及弥散分析的无网格RKPM配点法研究

doi: 10.3879/j.issn.1000-0887.2011.06.010

作者简介:
罗汉中(1983- ),男,江西人,博士生(E-mail:lough_me@163.com);黄醒春(1957- ),男,广西人,教授(联系人.E-mail:huangxc@sjtu.edu.cn).

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Stability and Dispersion Analysis of Reproducing Kernel Collocation Method for Transient Dynamics

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瞬态问题稳定性及弥散分析的无网格RKPM配点法研究

doi: 10.3879/j.issn.1000-0887.2011.06.010

作者简介: 罗汉中(1983- ),男,江西人,博士生(E-mail:lough_me@163.com);黄醒春(1957- ),男,广西人,教授(联系人.E-mail:huangxc@sjtu.edu.cn).

计量

出版历程

Stability and Dispersion Analysis of Reproducing Kernel Collocation Method for Transient Dynamics

计量

出版历程

目录

作者简介:
罗汉中(1983- ),男,江西人,博士生(E-mail:lough_me@163.com);黄醒春(1957- ),男,广西人,教授(联系人.E-mail:huangxc@sjtu.edu.cn).