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Robustness to Inaccurate Initial Conditions in Low Mach Preconditioned Density-Based Methods

机译:基于低马赫数预处理的基于密度的方法中不准确的初始条件的鲁棒性

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It is well known that traditional compressible flow solvers have difficulties simulating small Mach number flows, which is the reason why low Mach preconditioning has been developed. Although this technique allows for a fast convergence towards an accurate solution, it does suffer from robustness issues. In other words, the use of inaccurate initial conditions that are not a solution of the governing equations or even strong transient changes in flow conditions quite often lead to divergence. Several different criteria are employed in the present study to try and understand the origin of such a lack of robustness. It is traced to a strong sensitivity of the preconditioning and eigenvector matrixes to numerical perturbations. When low Mach preconditioning is removed however, this strong sensitivity disappears. This led to the development of a delayed preconditioning strategy that is able to greatly improve robustness without significantly delaying convergence.
机译:众所周知,传统的可压缩流求解器难以模拟小马赫数流,这就是开发低马赫预处理的原因。尽管此技术允许快速收敛到准确的解决方案,但它确实存在鲁棒性问题。换句话说,使用不精确的初始条件(不是控制方程式的解)或流动条件的强烈瞬态变化通常会导致分歧。在本研究中采用了几种不同的标准来尝试并理解这种缺乏鲁棒性的根源。这可以追溯到预处理和特征向量矩阵对数值扰动的强烈敏感性。但是,当取消低马赫预处理时,这种强灵敏度就消失了。这导致了延迟预处理策略的发展,该策略能够在不显着延迟收敛的情况下极大地提高鲁棒性。

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