Computational methods in Lagrangian and Eulerian hydrocodes

Computer Methods in Applied Mechanics and Engineering

Volumn 99, Issue 2-3, 1992, Pages 235-394

  Benson, David J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; MECHANICS;

ENERGY EQUATIONS; EULERIAN HYDROCODES; LAGRANGIAN HYDROCODES; LAGRANGIAN TIME STEP; LARGE DEFORMATION PROBLEMS; MOMENTUM EQUATIONS; RANKINE-HUGONIOT CONDITIONS;

COMPUTER SOFTWARE;

EID: 0026923198     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(92)90042-I     Document Type: Article

References (200)

1. History and application of hydrocodes in hypervelocity impact
2. An overview of the theory of hydrocodes
3. CAVEAT: A computer code for fluid dynamics problems with large distortion and internal slip
4. CEL: A time-dependent, two-space-dimensional, coupled Eulerian-Lagrange code
5. Lagrangian-Eulerian finite element formulation for incompressible viscous flows
6. Arbitrary Lagrangian-Eulerian finite element methods
7. Numerical methods in hydrodynamic calculations
8. BBC hydrodynamics
9. Fundamentals of the KRAKEN Code
10. MESA: A 3-D computer code for armor/anti-armor applications
11. Lawrence Radiation Laboratory, UCRL-6267
12. The TENSOR Code
13. Calculation of elastic-plastic flow
14. Implementation of a time dependent plasticity theory into structural programs
15. Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics
16. On the importance of the discrete maximum principle in transient analysis using finite element methods
17. User's manual for DYNA2D—An explicit two-dimensional hydrodynamic finite element code with interactive rezoning
18. DYNA3D Course Notes
19. Vectorizing the right-hand side assembly in an explicit finite element program
20. User instructions for the EPIC-2 Code
21. On numerically accurate finite element solutions in the fully plastic range
22. Eroding interface and improved tetrahedral element algorithms for high-velocity impact computations in three dimensions
23. SHALE: A computer program for solid dynamics
24. Los Alamos Scientific Laboratory, LA-5100
25. On finite element and difference formulations of transient fluid-structure problems
26. NIKE2D—A vectorized implicit, finite deformation finite element code for analyzing the static and dynamic response of 2-D solids with interactive rezoning and graphics
27. The non-linear field theories of mechanics
28. An introduction to continuum mechanics
29. A discussion of stress rates in finite deformation problems
30. Sandia National Laboratories, SAND86-0594
31. Determination of the stretch and rotation in the polar decomposition of the deformation gradient
32. On the analysis of rotation and stress rate in deforming bodies
33. Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
34. A centered artificial viscosity for cells with large aspect ratio
35. A new two-dimensional flux-limited shock viscosity
36. A method for the numerical calculation of hydrodynamic shocks
37. Numerical methods in fluid dynamics
38. Weak solutions of nonlinear hyperbolic equations and their numerical computation
39. On finite-difference approximations and entropy conditions for shocks
40. Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
41. Use of artificial viscosity in multidimensional fluid dynamic calculations
42. A numerical method for treating fluid flow in the presence of shocks
43. Derivation of a generalized Von Neumann pseudo-viscosity with directional properties
44. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
45. Lawrence Livermore National Laboratory, UCRL-50987
46. Lawrence Livermore National Laboratory, UCID-19428
47. Tensor artificial viscosity for numerical hydrodynamics
48. A uniform strain heaxhedron and quadrilateral and orthogonal hourglass control
49. Efficient implementation of quadrilaterals with high coarse-mesh accuracy
50. A method for treating hourglass patterns
51. Treatment of hourglass patterns in low order finite element codes
52. Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems
53. On the variational foundations of assumed strain methods
54. CSQ—A two dimensional hydrodynamic program with energy flow and material strength
55. CTH: A three-dimensional shock wave physics code
56. Contact problems in elasticity: A study of variational inequalities and finite element methods for a class of contact problems in elasticity
57. A single surface contact algorithm for the post-buckling analysis of shell structures
58. A Lagrange multiplier segment procedure for solution of three dimensional contact problems
59. On contact-impact problems
60. Contact-impact by the pinball algorithm with penalty, projection, and Lagrangian methods
61. A perturbed Lagrangian formulation for the finite element solution of contact problems
62. A new interaction algorithm with erosion for EPIC-3
63. Lagrange constraints for transient surface contact
64. Analysis of shell structures subjected to contacts-impacts
65. Sliding interfaces with contact-impact in large-scale Lagrangian computations
66. TOODY II, A computer program for two-dimensional wave propagation
67. A finite element method for a class of contact-impact problems
68. HONDO—A Finite Element Computer Program for the Large Deformation Response of Axisymmetric Solids
69. Lagrangian computations for projectile penetration into thick plates
70. Stability analysis of WONDY for a special case of Maxwell's law
71. DYNA3D user's manual (nonlinear dynamic analysis of structures in three dimensions)
72. The piecewise parabolic method (PPM) for gas dynamical simulations
73. A general, non-iterative Riemann solver for Godunov's method
74. ENO schemes with subcell resolution
75. CAVEAT material model
76. A second-order algorithm for the dynamic response of soils
77. Multidimensional upwind methods for hyperbolic conservation laws
78. A general topology Godunov method
79. Vorticity error in multidimensional Lagrangian codes
80. Characteristic-based schemes for the Euler equations
81. Numerical studies of a one-dimensional Lagrangian Godunov scheme
82. Comparisons between the cell-centered and staggered mesh Lagrangian hydrodynamics
83. Systems of conservation laws
84. A Simplified TVD Finite Difference Scheme via Artificial Viscosity
85. Particle Methods in Fluid Dynamics and Plasma Physics
86. PIC and its progeny
87. FLIP: A low-dissipation, particle-in-cell method for fluid flow
88. Smooth particle hydrodynamics: A review
89. The free-Lagrange method
90. HELP, A multimaterial Eulerian program for compressible fluid and elastic-plastic flows in two space dimensions and time
91. Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
92. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
93. Flame advection and propagation algorithms
94. The JOY Computer Code
95. An efficient, accurate, simple ALE method for nonlinear finite element programs
96. HEMP advection model
97. Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua
98. The numerical simulation of two-dimensional fluid flow with strong shocks
99. Product formulas and numerical algorithms
100. A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
101. Equipotential zoning of two-dimensional meshes
102. An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids
103. An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials
104. On a finite element method for solving the neutron transport equation
105. A discontinuous finite element method for nonlinear hyperbolic equations
106. Solution of three-dimensional boundary layer equations by a discontinuous finite element method, Part I: Numerical analysis of a linear model problem
107. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
108. A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
109. Finite element methods for linear hyperbolic problems
110. Finite element methods for linear hyperbolic problems
111. A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle
112. Flux-corrected transport I. SHASTA, A transport algorithm that works
113. Toward the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
114. Some contributions to the modeling of discontinuous flows
115. Computing with high resolution upwind schemes for hyperbolic equations, Large-scale computations in fluid mechanics
116. High resolution schemes for hyperbolic conservation laws
117. High resolution schemes using flux limiters for hyperbolic conservation laws
118. Riemann solvers, the entropy condition, and difference approximations
119. Numerical experiments on the accuracy of ENO and modified ENO schemes
120. A numerical study of the convergence properties of ENO schemes
121. Uniformly high-order accurate nonoscillatory schemes
122. Second-order accurate nonoscillatory schemes for scalar conservation laws
123. Accurate monotone cubic interpolation
124. Fully multidimensional flux-corrected transport algorithms for fluids
125. An adaptive finite element scheme for transient problems in CFD
126. Adaptive finite element methods for the analysis of inviscid compressible flow: Part I. Fast refinement/unrefinement and moving mesh methods for unstructured meshes
127. A fully multidimensional positive definite advection transport algorithm with small implicit diffusion
128. Antidiffusive velocities for multipass donor cell advection
129. An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions
130. Application of the Godunov method and higher order extensions of the Godunov method to cascade flow modeling
131. Multidimensional explicit difference schemes for hyperbolic conservation laws
132. Vectorization techniques for explicit arbitrary Lagrangian-Eulerian calculations
133. Remapping on the staggered mesh
134. Group velocity in finite difference schemes
135. An algorithm and a modular subroutine for the cap model
136. Numerical methods for tracking interfaces
137. TOIL (A two-material version of the OIL code)
138. Volume of fluid (VOF) method for the dynamics of free boundaries
139. SLIC (Simple Line Interface Calculation)
140. Solutions in the large for nonlinear hyperbolic systems of equations
141. Computer codes for fluid-structure interactions
142. Time dependent multi-material flow with large fluid distortion
143. An interface tracking method for a 3D Eulerian hydrodynamics code
144. Iterative solution of mixed problems and stress recovery procedures
145. Does a point lie inside a polygon
146. Conservative rezoning (remapping) for general quadrilateral meshes
147. Accurate conservative remapping (rezoning) for arbitrary Lagrangian-Eulerian computations
148. The TOOREZ Lagrangian rezoning code
149. PIC method for a two-dimensional elastic-plastic-hydro code
150. Material void opening computation using particle method
151. A finite element with embedded localization zones
152. Boundary-fitted coordinate systems for numerical solution of partial differential equations—A review
153. Adaptive mesh refinement on moving quadrilateral grids
154. Lawrence Livermore National Laboratory, UCID-19486
155. Lawrence Livermore National Laboratory, UCID-19062
156. Adaptive zoning for singular problems in two dimensions
157. Directional control in grid generation
158. Elements with embedded localization zones for large deformation problems
159. Flow of interpenetrating material phases
160. Hypervelocity impact of mixtures
161. Dynamic Lagrangian computations for solids, with variable nodal connectivity for severe distortions
162. The particle-in-cell method for hydrodynamic calculations