An ALE finite element method for baffled fuel container in Yawing motion

A computational analysis of engineering problems with moving domain or/and boundary according to either Lagrangian or Eulerian approach may encounter inherent numerical difficulties, the extreme mesh distortion in the former and the material boundary indistinctness in the latter. In order to overcome such defects in classical numerical approaches, the ALE (arbitrary Lagrangian Eulerian) method is widely being adopted in which the finite element mesh moves with arbitrary velocity. This paper is concerned with the ALE finite element formulation, aiming at the dynamic response analysis of baffled fuel-storage container in yawing motion, for which the coupled time integration scheme, the remeshing and smoothing algorithm and the mesh velocity determination are addressed. Numerical simulation illustrating theoretical works is also presented.

[1]  Şahin Yildirim,et al.  Analysis of effects of sizes of orifice and pockets on the rigidity of hydrostatic bearing using neural network predictor system , 2004 .

[2]  Wing Kam Liu,et al.  Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆ , 1981 .

[3]  D. Benson.  An efficient, accurate, simple ALE method for nonlinear finite element programs , 1989 .

[4]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[5]  Helmut F. Bauer,et al.  Nonlinear Mechanical Model for the Description of Propellant Sloshing , 1966 .

[6]  Eun-Dok Lee,et al.  Determination of process parameters in stereolithography using neural network , 2004 .

[7]  Ted Belytschko,et al.  COMPUTER MODELS FOR SUBASSEMBLY SIMULATION , 1978 .

[8]  J. Halleux,et al.  An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .

[9]  K. Bathe.  Finite Element Procedures , 1995 .

[10]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[11]  Ted Belytschko,et al.  Theory and application of a finite element method for arbitrary Lagrangian-Eulerian fluids and structures , 1982 .

[12]  Mutsuto Kawahara,et al.  Lagrangian finite element method for free surface Navier-Stokes flow using fractional step methods , 1991 .

[13]  F. Welt,et al.  Vibration Damping Through Liquid Sloshing, Part 2: Experimental Results , 1992 .

[14]  H. Norman Abramson,et al.  The Dynamic Behavior of Liquids in Moving Containers. NASA SP-106 , 1966 .

[15]  J.-R. Cho,et al.  ASSESSMENT OF CLASSICAL NUMERICAL MODELS FOR THE SEPARATE FLUID-STRUCTURE MODAL ANALYSIS , 2001 .

[16]  A. Chorin.  Numerical solution of the Navier-Stokes equations , 1968 .