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The DRM subdomain decomposition approach to solve the two-dimensional Navier-Stokes system of equations

机译:DRM子域分解方法求解二维Navier-Stokes方程组

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This work presents a domain decomposition boundary integral equation method for the solution of the two-dimension Navier-Stokes system of equations. It is known that, within this topic, the standard boundary element method is at a disadvantage when compared with classical domain schemes, such as finite difference and finite elements methods. In the present approach the original domain is divided into several subdomains. In each of them the integral representation formula of a non-homogeneous Stokes flow field is applied, and on the interface of the adjacent sub-regions the full matching conditions of the problem are imposed. The domain integrals resulting from the nonhomogeneous terms of the formulation are transformed into surface integrals at the contour of each sub-region via the dual reciprocity method. Finally, some examples showing the accuracy, efficiency and flexibility of the proposed method are presented.
机译:这项工作提出了求解二维Navier-Stokes方程组的区域分解边界积分方程方法。众所周知,在本主题内,与经典的领域方案(如有限差分法和有限元法)相比,标准边界元法处于不利地位。在本方法中,原始域分为几个子域。在它们的每一个中,均采用非均匀斯托克斯流场的积分表示公式,并且在相邻子区域的界面上强加了问题的完全匹配条件。通过对等方法,将由配方的不均匀项产生的区域积分在每个子区域的轮廓处转换为表面积分。最后,给出了一些例子,说明了所提方法的准确性,效率和灵活性。

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