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Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations

机译:弱和强壁边界过程以及Navier-Stokes方程的稳态收敛

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摘要

We study the influence of different implementations of no-slip solid wall boundary conditions on the convergence to steady-state of the Navier-Stokes equations. The various approaches are investigated using the energy method and an eigenvalue analysis. It is shown that the weak implementation is superior and enhances the convergence to steady-state for coarse meshes. It is also demonstrated that all the stable approaches produce the same convergence rate as the mesh size goes to zero. The numerical results obtained by using a fully nonlinear finite volume solver support the theoretical findings from the linear analysis.
机译:我们研究了防滑实心壁边界条件的不同实现方式对Navier-Stokes方程收敛到稳态的影响。使用能量方法和特征值分析研究了各种方法。结果表明,较弱的实现是优越的,并且可以提高粗糙网格的收敛到稳态。还证明了,所有稳定的方法都将产生相同的收敛速度,因为网格尺寸变为零。通过使用完全非线性的有限体积求解器获得的数值结果支持线性分析的理论发现。

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