AN ARBITRARY LAGRANGIAN-EULERIAN-COMPUTING-METHOD FOR ALL FLOW SPEEDS(REPRINTED FROM THE JOURNAL-OF-COMPUTATIONAL-PHYSICS, VOL 14, PG 227-253, 1974)

A new numerical technique is presented that has many advantages for ob taining solutions to a wide variety of time-dependent multidimensional fluid dynamics problems. The method uses a finite difference mesh wit h vertices that may be moved with the fluid (Lagrangian), be held fixe d (Eulerian), or be moved in any other prescribed manner, as in the Ar bitrary Lagrangian-Eulerian (ALE) technique. In addition, it employs a n implicit formulation similar to that of the Implicit Continuous-flui d Eulerian (ICE) technique, making it applicable to flows at all speed s. This paper describes the basic methodology, presents finite differe nce approximations, and discusses such matters as stability, accuracy, and zoning. In addition, illustrations are included from a number of representative calculations. (C) 1974 Academic Press.