An efficient, accurate, simple ale method for nonlinear finite element programs

Computer Methods in Applied Mechanics and Engineering

Volumn 72, Issue 3, 1989, Pages 305-350

  Benson, David J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING--ALGORITHMS; COMPUTER SOFTWARE; FLUID MECHANICS; MATHEMATICAL TECHNIQUES--FINITE ELEMENT METHOD;

ARBITRARY LANGRANGIAN-EULERIAN FORMULATION (ALE); COURANT STABILITY CRITERION; SHEAR DISTORTION; SIMPLE ARBITRARY LANGRANGIAN-EULERIAN FORMULA (SALE);

MATERIALS;

EID: 0024621791     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(89)90003-0     Document Type: Article

References (52)

1. Implicit-explicit finite elements in transient analysis: Implementation and numerical examples
2. Mesh partitions of explicit-implicit time integration
3. Recent developments in large-scale finite element Lagrangian hydrocode technology
4. Large scale vectorized implicit calculations in solid mechanics on a Cray-XMP48 utilizing EBE preconditioned conjugate gradients
5. Stability of multi-time step partitioned integrators for first-order finite element systems
6. CEL: A time-dependent, two-space-dimensional, coupled Eulerian-Lagrange code
7. An arbitrary Lagrangian-Eulerian computing method for all flow speeds
8. Computer models for subassembly simulation
9. Lagrangian-Eulerian finite element formulation for incompressible viscous flows
10. Arbitrary Lagrangian-Eulerian finite element methods
11. Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua
12. Streamline upwind/Petrov-Galerkin formulations for convection-dominated flows with particular emphasis on the incompressible Navier-Stokes equations
13. A finite element method for computational fluid dynamics
14. A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
15. Calculation of elastic-plastic flow
16. Implementation of a time dependent plasticity theory into structural computer programs
17. General return mapping algorithms for rate-independent plasticity
18. Product formulas and numerical algorithms
19. HEMP advection model
20. User's manual for DYNA2D — An explicit two-dimensional hydrodynamic finite element code with interactive rezoning
21. MAZE — An input generator for DYNA2D and NIKE2D
22. ORION: An interactive color post-processor for two dimensional finite element codes
23. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
24. Theoretical manual for DYNA3D
25. DYNA3D user's manual (Nonlinear dynamics analysis of structures in three dimensions)
26. “Equipotential” zoning of two-dimensional meshes
27. Boundary-fitted coordinate systems for numerical solution of partial different equations-A review
28. Adaptive zoning for singular problems in to dimensions
29. Rescaling of equipotential smoothing
30. Iterative solution of mixed problems and stress recovery procedures
31. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
32. An arbitrary Lagrangian—Eulerian finite element method for path-dependent materials
33. The piecewise-parabolic method (PPM) for gas-dynamical simulations
34. Flux corrected transport, SIIASTA, a fluid transport algorithm that works
35. On the relation between the upwind-differencing schemes of Godunov Engquist-Osher and Roe
36. Cray Research
37. Calculus and Analytic Geometry
38. Fully multidimensional flux-corrected transport algorithms for fluids
39. Fundamentals of the KRAKEN code
40. A Petrov-Galerkin finite element method for convection dominated flows An accurate upwinding technique for satisfying the maximum principle
41. Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
42. HONDO — A finite element computer program for the large deformation response of axisymmetric solids