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首页> 外文期刊>Journal of Computational Physics >Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes
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Accurate interface-tracking for arbitrary Lagrangian-Eulerian schemes

机译：任意Lagrangian-Eulerian方案的精确接口跟踪

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摘要

We present a new method for tracking an interface immersed in a given velocity field which is particularly relevant to the simulation of unsteady free surface problems using the arbitrary Lagrangian-Eulerian (ALE) framework. The new method has been constructed with two goals in mind: (i) to be able to accurately follow the interface; and (ii) to automatically achieve a good distribution of the grid points along the interface. In order to achieve these goals, information from a pure Lagrangian approach is combined with information from an ALE approach. Our implementation relies on the solution of several pure convection problems along the interface in order to obtain the relevant information. The new method offers flexibility in terms of how an "optimal" point distribution should be defined. We have proposed several model problems, each with a prescribed time-dependent velocity field and starting with a prescribed interface; these problems should be useful in order to validate the accuracy of interface-tracking algorithms, e.g., as part of an ALE solver for free surface flows. We have been able to verify first, second, and third order temporal accuracy for the new method by solving these two-dimensional model problems.
机译：我们提出了一种用于跟踪浸入给定速度场中的界面的新方法，该方法特别适用于使用任意拉格朗日-欧拉（ALE）框架模拟不稳定的自由表面问题。构建新方法时要牢记两个目标：（i）能够准确地遵循界面; （ii）自动在界面上实现网格点的良好分布。为了实现这些目标，将纯拉格朗日方法的信息与ALE方法的信息相结合。我们的实现依赖于沿接口解决几个纯对流问题，以获得相关信息。新方法在应如何定义“最佳”点分布方面提供了灵活性。我们提出了几个模型问题，每个问题都有一个规定的随时间变化的速度场，并从一个规定的接口开始。这些问题对于验证接口跟踪算法的准确性应该是有用的，例如作为自由表面流的ALE求解器的一部分。通过解决这些二维模型问题，我们已经能够验证新方法的一阶，二阶和三阶时间精度。

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