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首页> 外文期刊>Journal of Computational Physics >A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements
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A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements

机译：具有节点有限元的任意Lagrangian-Eulerian计算的几何保守，同步，磁通校正重映射

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摘要

This article describes a conservative synchronized remap algorithm applicable to arbitrary Lagrangian-Eulerian computations with nodal finite elements. In the proposed approach, ideas derived from flux-corrected transport (FCT) methods are extended to conservative remap. Unique to the proposed method is the direct incorporation of the geometric conservation law (GCL) in the resulting numerical scheme. It is shown here that the geometric conservation law allows the method to inherit the positivity preserving and local extrema diminishing (LED) properties typical of FCT schemes. The proposed framework is extended to the systems of equations that typically arise in meteorological and compressible flow computations. The proposed algorithm remaps the vector fields associated with these problems by means of a synchronized strategy. The present paper also complements and extends the work of the second author on nodal-based methods for shock hydrodynamics, delivering a fully integrated suite of Lagrangian/remap algorithms for computations of compressible materials under extreme load conditions. Extensive testing in one, two, and three dimensions shows that the method is robust and accurate under typical computational scenarios.
机译：本文介绍了一种保守的同步重映射算法，适用于带有节点有限元的任意Lagrangian-Eulerian计算。在提出的方法中，从通量校正传输（FCT）方法获得的思想扩展到保守重映射。所提出方法的独特之处在于将几何守恒定律（GCL）直接并入所得的数值方案中。此处显示，几何守恒律允许该方法继承FCT方案中典型的正性保留和局部极值减小（LED）特性。拟议的框架扩展到通常在气象和可压缩流量计算中出现的方程式系统。所提出的算法通过同步策略重新映射与这些问题相关的矢量场。本文还补充和扩展了第二作者关于基于节点的冲击流体力学方法的工作，并提供了一套完全集成的拉格朗日/重映射算法套件，用于计算极端载荷条件下的可压缩材料。在一维，二维和三个维度上的广泛测试表明，该方法在典型的计算场景下是可靠且准确的。

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