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An Arbitrary LagrangianEulerian Computing (一个任意LagrangianEulerian计算)
JOURNAL OF COMPUTATIONAL PHYSICS 135, 203–216 (1997)
ARTICLE NO. CP975702
An Arbitrary Lagrangian–Eulerian Computing Method for
All Flow Speeds*
C. W. Hirt, A. A. Amsden, and J. L. Cook†
University of California, Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87544
Received November 10, 1972
(Eulerian), or be moved in any other prescribed way. Be-
A new numerical technique is presented that has many advan- cause of this flexibility the method is referred to as an
tages for obtaining solutions to a wide variety of time-dependent Arbitrary Lagrangian–Eulerian (ALE) technique [2]. A
multidimensional fluid dynamics problems. The method uses a fi- scheme of this nature has previously been reported by
nite difference mesh with vertices that may be moved with the fluid Trulio [3] for compressible flow problems. This new tech-
(Lagrangian), be held fixed (Eulerian), or be moved in any other
nique, however, may be applied to flows at any speed,
prescribed manner, as in the Arbitrary Lagrangian–Eulerian (ALE)
technique. In addition, it employs an implicit formulation similar to since it has an implicit formulation similar to that in the
that of the Implicit Continuous-fluid Eulerian (ICE) technique, mak- Implicit Continuous-fluid Eulerian (ICE) method [4]. In
ing it applicable to flows at all speeds. particular, in the limit of infinite sound speed, the differ-
This paper describes the basic methodology, presents finite differ- ence equations reduce to a generaliz
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