ARBITRARY LAGRANGIAN-EULERIAN COMPUTING METHOD FOR ALL FLOW SPEEDS
ARBITRARY LAGRANGIAN-EULERIAN COMPUTING METHOD FOR ALL FLOW SPEEDS
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DOI：
10.1006/jcph.1997.5702
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发表时间：
1974-01-01
影响因子：
4.1
通讯作者：
COOK, JL
中科院分区：
文献类型：
--
作者：
HIRT, CW;AMSDEN, AA;COOK, JL
提出了一种新的数值方法，该方法在求解各种含时多维流体动力学问题时具有许多优点。该方法使用有限差分网格，其顶点可以随流体移动(拉格朗日)、保持不变(欧拉)或以任何其他规定的方式移动，就像在任意拉格朗日-欧拉(ALE)技术中一样。此外，它采用了类似于隐式连续流体欧拉(ICE)技术的隐式公式，使其适用于所有速度下的流动。本文介绍了该方法的基本方法，给出了有限差分近似，并讨论了稳定性、精度和分区等问题。此外，还包括一些具有代表性的计算中的插图。
A new numerical technique is presented that has many advantages for obtaining solutions to a wide variety of time-dependent multidimensional fluid dynamics problems. The method uses a finite difference mesh with vertices that may be moved with the fluid (Lagrangian), be held fixed (Eulerian), or be moved in any other prescribed manner, as in the Arbitrary Lagrangian–Eulerian (ALE) technique. In addition, it employs an implicit formulation similar to that of the Implicit Continuous-fluid Eulerian (ICE) technique, making it applicable to flows at all speeds. This paper describes the basic methodology, presents finite difference approximations, and discusses such matters as stability, accuracy, and zoning. In addition, illustrations are included from a number of representative calculations.