An implicit particle-in-cell method for granular materials

Journal of Computational Physics

Volumn 180, Issue 2, 2002, Pages 506-548

  Cummins, S J ^a   Brackbill, J U ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Finite difference methods; Granular flow; Implicit methods, quadratic conserving; Newton Krylov; Nonlinear stability

Indexed keywords

GRANULAR MATERIALS;

CONTACT ALGORITHMS; FINITE-DIFFERENCE METHODS; FIRST ORDER; GRANULAR FLOWS; IMPLICIT METHOD, QUADRATIC CONSERVING; IMPLICIT METHODS; MATERIAL POINT METHODS; NEWTON-KRYLOV; NON-LINEAR STABILITIES; PARTICLE IN CELL METHOD;

FINITE DIFFERENCE METHOD;

EID: 0037055762     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7101     Document Type: Article

References (60)

1. A particle method for history-dependent materials
2. Real sandpiles: Dilatency, hysteresis and cooperative dynamics
3. Discrete numerical model for granular assemblies
4. Force distributions in dense two-dimensional granular systems
5. Simulation of low-frequency electromagnetic phenomena in plasmas
6. A numerical method for suspension flow
7. FLIP MHD: A particle-in-cell method for magnetohydrodynamics
8. Application of a particle-in-cell method to solid mechanics
9. Plasma Physics via Computer Simulation
10. The flow of granular materials-I: Discharge rates from hoppers
11. On the instability of leap-frog and Crank-Nicholson approximations of a nonlinear partial differential equation
12. An implicit multi-material Eulerian formulation
13. Quasi-static compaction study of coarse HMX explosive
14. From finite differences to finite elements. A short history of numerical analysis of partial differential equations
15. Flow patterns around heart valves: A numerical method
16. Numerical simulations of granular shear zones using the distinct element method: 1. Shear zone kinematics and the micromechanics of localization
17. Numerical simulation of granular shear zones using the distinct element method: 2. Effects of particle size distribution and interparticle friction on mechanical behavior
18. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
19. Fluctuations in granular media
20. On the computational stability of numerical solutions of time-dependent non-linear geophysical fluid dynamics problems
21. Force fluctuations in bead packs
22. Compaction and force propagation in granular packings
23. Scaling and universality in avalanches
24. Stress fluctuations for continuously sheared granular materials
25. 3-dimensional model for particle-size segregation by shaking
26. Granular solids, liquids, and gases
27. Conservation properties of unstructured staggered mesh schemes
28. Studies in numerical nonlinear instability. 1. Why do leapfrog schemes go unstable?
29. Discrete element investigation of stress fluctuations in granular flow at high strain rates
30. Common molecular dynamics algorithms revisited: Accuracy and optimal time steps of Stormer-leapfrog integrators
31. Difference Methods for Initial-Value Problems
32. Axisymmetric form of the material point method with applications to upsetting and Taylor impact problems
33. Continuum Mechanics
34. The ringing instability in particle-in-cell calculations of low-speed flow
35. FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
36. Three-dimensional, finite-deformation, viscoplastic constitutive models for polymeric materials
37. Numerical study of stress distribution in sheared granular material in two dimensions
38. The material-point method for granular materials
39. Dynamic stress bridging in granular material
40. Rigid-body dynamics with friction and impact
41. Convergence theory of nonlinear Newton-Krylov algorithms
42. Comparison of standard and matrix-free implementations of several Newton-Krylov solvers
43. A multigrid preconditioned Newton-Krylov method
44. Parametric studies of dynamic powder consolidation using a particle-level numerical model
45. An analysis by direct numerical simulation of the effects of particle morphology on the shock compaction of copper powder
46. A mixture theory for contact in multi-material Eulerian formulations
47. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
48. Mass matrix formulation of the FLIP Particle-in-Cell method
49. Photoelastic investigation of dynamic load transfer in granular media
50. An improved contact algorithm for the material point method and application to stress propagation in granular materials
51. Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
52. Hybrid Krylov methods for nonlinear systems of equations
53. A new nonlinear solution method for phase-change problems
54. Newton-Krylov methods for low-mach-number compressible combustion
55. An implicit time integration strategy for use with the material point method, computational fluid and solid mechanics
56. GMRES: A generalised minimal residual algorithm for solving nonsymmetric linear systems
57. An efficient nonlinear solution method for non-equilibrium radiation diffusion
58. A multigrid preconditioned Newton-Krylov method
59. An implicit energy-conservative 2D Fokker-Planck algorithm: II. Jacobian-free Newton-Krylov solver
60. Multilevel adaptive solution to boundary value problems