| 圆外Stokes问题的边界积分公式 |
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| 引用本文： | 彭维红,董正筑,赵慧明,曹国华.圆外Stokes问题的边界积分公式[J].固体力学学报,2006(Z1). |
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| 作者姓名： | 彭维红 董正筑 赵慧明 曹国华 |
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| 作者单位： | 中国矿业大学理学院 中国矿业大学理学院 徐州 |
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| 基金项目： | 中国矿业大学校基金项目“自然边界元与有限元的耦合法及其并行化研究”(0k060157)资助 |
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| 摘 要： | 针对圆外区域的Stokes问题,利用Fourier展开法,通过自然边界归化得到了一个只与边界速度有关的Stokes问题的边界积分公式.根据此公式及边界速度值,求得区域内速度及压力分布的解析表达式,并通过数值积分的方法进行求解,计算量小,所得速度及压力分布图曲线光滑.最后借助流体软件进行数值计算,结果验证了边界积分公式的正确性、可行性.
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| 关 键 词： | 圆外区域 Stokes问题 Fourier展开法 边界积分公式 |
BOUNDARY INTEGRAL FORMULA FOR STOKES PROBLEM OF OUTER CIRCLE DOMAIN |
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| Peng Weihong Dong Zhengzhu Zhao Huiming Cao Guohua.BOUNDARY INTEGRAL FORMULA FOR STOKES PROBLEM OF OUTER CIRCLE DOMAIN[J].Acta Mechnica Solida Sinica,2006(Z1). |
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| Authors: | Peng Weihong Dong Zhengzhu Zhao Huiming Cao Guohua |
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| Abstract: | The intention of this paper is to discuss the natural boundary element method of stokes problem of outer circle domain.With this method,boundary integral formula just related to boundary velocity can be obtained by Fourier series expanded technique.According to Poisson integral formula and the boundary velocity,the analytical calculating formula of inner circle values can be solved and afterwards the distribution of velocity and pressure is given and analyzed.It is convenient to utilize numerical integral method to solve the analytical formula above,and the curves of the figures received are slippery.Finally,the numerical method is used to compute the example in this paper and validate the feasibility of the method in this paper by comparison. |
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| Keywords: | outer circle domain stokes problem Fourier series expanded technique boundary integral formula |
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