| 径向基函数插值的有限体积方法 |
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| 引用本文： | 陈华,赵宁,舒昌. 径向基函数插值的有限体积方法[J]. 安徽工业大学学报, 2009, 26(4): 435-439 |
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| 作者姓名： | 陈华 赵宁 舒昌 |
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| 作者单位： | 南京航空航天大学,航空宇航学院,南京,210016;新加坡国立大学,机械工程系,新加坡,119077 |
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| 基金项目： | 国家自然科学基金资助 |
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| 摘 要： | 构造了一类基于径向基函数插值思想的有限体积格式.依据ENO思想建立自适应模板,在选定的模板上利用Multiquadric函数逼近控制单元边界处的守恒变量,再构造高阶数值通量.对经典的一维和二维问题的数值模拟结果表明,这种格式具有高阶精度和高分辨率.
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| 关 键 词： | 有限体积方法 径向基函数 ENO方法 插值多项式 MQ函数 |
Finite Volume Method of Radial Basis Functions Interpolation |
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| CHEN Hua,ZHAO Ning,SHU Chang. Finite Volume Method of Radial Basis Functions Interpolation[J]. Journal of Anhui University of Technology, 2009, 26(4): 435-439 |
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| Authors: | CHEN Hua ZHAO Ning SHU Chang |
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| Affiliation: | 1. College of Aerospace Engineering;Nanjing University of Aeronautics and Astronautics;Nanjing 210016;China;2. Mechanical Engineering;National University of Singapore;119077;Singapore |
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| Abstract: | A kind of finite volume methods based radial basis function (RBF) is presented. The adaptive stencils are formed according to essentially non-oscillatory (ENO) method, then multiquadric radial basis function (MQ- RBF) is used to approximate the numerical flux terms on the adaptive stencils, Finally it is generalized to one and two dimensional problems of aerodynamics, and the numerical experiments show that it has high accuracy and resolution. |
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| Keywords: | finite volume method radial basis function ENO stencil interpolation polynomials multi-quadric |
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