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首页> 外文期刊>Computer Assisted Mechanics and Engineering Sciences >The impact of the Dirichlet boundary conditions on the convergence of the discretized system of nonlinear equations for potential problems
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The impact of the Dirichlet boundary conditions on the convergence of the discretized system of nonlinear equations for potential problems

机译：Dirichlet边界条件对离散非线性方程组收敛性的影响

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摘要

The purpose of this paper is the analysis of numerical approaches obtained by describing the Dirichlet boundary conditions on different connected components of the computational domain boundary for potential flow, provided that the domain is a rectangle. The considered problem is a potential flow around an airfoil profile. It is shown that in the case of a rectangular computational domain with two sides perpendicular to the speed direction, the potential function is constant on the connected components of these sides. This allows to state the Dirichlet conditions on the considered parts of the boundary instead of the potential jump on the slice connecting the trail edge with the external boundary. Furthermore, the adaptive remeshing method is applied to the solution of the considered problem.
机译：本文的目的是分析通过描述Dirichlet边界条件而获得的数值方法，条件是该计算域边界是矩形，并且计算势域的计算域边界的不同连接分量上的Dirichlet边界条件。所考虑的问题是围绕翼型轮廓的潜在流动。结果表明，在矩形计算域的两侧垂直于速度方向的情况下，势函数在这些侧的连接分量上恒定。这允许在边界的所考虑部分上陈述Dirichlet条件，而不是在将尾随边缘与外部边界相连的切片上的潜在跳跃。此外，将自适应重新网格化方法应用于所考虑问题的解决方案。

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