泊松类型方程边界元解法
Solution to the Form of Poission Equation by the Boundary Element Methods
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摘要: 本文采用高阶拉普拉斯算子基本解将泊松类型方程的区域积分全部变换成边界积分,使计算问题的维数减少一维。通过斯托克斯方程的算例,表明本文所用的方法是有效的方法。Abstract: In this paper, the domain integral of the form of Poisson equation is translatedinto complete boundary integral by the fundamental solution of higher-order Laplaceoperator, the dimensions of the problem can be contracted into one. The numericalexamples for Stokes equations show that this method is efficient.
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Key words:
- fluid dynamics /
- boundary element method /
- Stokes equations
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[1] Brebbia,C,A 《边界元法的工程应用》(张治强译),陕西科学技术出版社(1985). [2] Milne-Thoson,L.M,《理论流体动力学》(李裕立等译),北京,机械工业出版社(1984). -
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