| 复系数径向基配置法求解时谐涡流场问题 |
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| 引用本文： | 陈孝明,邵可然.复系数径向基配置法求解时谐涡流场问题[J].华中科技大学学报(自然科学版),2012,40(5):125-128. |
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| 作者姓名： | 陈孝明 邵可然 |
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| 作者单位： | 华中科技大学强电磁工程与新技术国家重点实验室,湖北武汉,430074 |
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| 基金项目： | 国家自然科学基金资助项目，华中科技大学博士学位论文创新基金 |
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| 摘 要： | 针对求解时谐涡流场问题,提出了一种复系数径向基配置法.根据时谐场计算中复数的实部和虚部表示的不同含义,选取不同尺度的径向基函数,将基于MQ径向基的复系数配置法应用于时谐场问题求解中,给出了相应的离散模型.在金属长方柱算例中,将数值解与解析解进行对比,发现2组解符合较好,结果验证了复系数径向基配置法的正确性和有效性.
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| 关 键 词： | 径向基 复系数 时谐场 涡流 配置法 |
Computing harmonic eddy fields using complex coefficients RBF collocation method |
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| Chen Xiaoming Shao Keran.Computing harmonic eddy fields using complex coefficients RBF collocation method[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2012,40(5):125-128. |
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| Authors: | Chen Xiaoming Shao Keran |
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| Institution: | Chen Xiaoming Shao Keran(State Key Laboratory of Advanced Electromagnetic Engineering and Technology, Huazhong University of Science and Technology,Wuhan 430074,China) |
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| Abstract: | A complex coefficient radial basis function(RBF) collocation method to solve the problem of quasi-static eddy field harmonic was presented.According to the different meanings of real part and imaginary part in the complex of the harmonic field calculation,different scales of RBF were selected and the multiquadric(MQ) RBF collocation method′s discrete model and implementation procedure was given.In the metal long square column example,the analytical solution was compared with the numerical solution.The numerical solution accords well with the analytical solution.Simulation results show that the complex coefficients RBF collocation method is correct and effective. |
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| Keywords: | radial basis complex coefficients harmonic field eddy collocation method |
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