Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods

Journal of Computational Physics

Volumn 176, Issue 1, 2002, Pages 93-128

  Knupp, Patrick ^a   Margolin, Len G ^b   Shashkov, Mikhail ^c  

^a SANDIA NATIONAL LABORATORIES   (United States)

^b CENTER FOR NONLINEAR STUDIES   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

ALE methods; Remapping; Rezone strategies

Indexed keywords

FLOW OF FLUIDS; GRID COMPUTING; LAGRANGE MULTIPLIERS;

ARBITRARY LAGRANGIAN EULERIAN; ARBITRARY LAGRANGIAN EULERIAN METHOD; COMPUTATIONAL GRIDS; GLOBAL OPTIMISATION; JACOBIANS; LAGRANGIAN; LOCAL OPTIMIZATIONS; MINIMISATION; REMAPPING; REZONE STRATEGY;

GLOBAL OPTIMIZATION;

EID: 0037050821     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6969     Document Type: Article

References (45)

1. A Posteriori Error Estimation in Finite Element Analysis
2. Moving Finite Elements
3. An efficient, accurate, simple ALE method for nonlinear finite element programs
4. Computational methods in Lagrangian and Eulerian hydrocodes
5. Momentum advection on a staggered mesh
6. Adaptive zoning for singular problems in two dimensions
7. The compatible Lagrangian hydrodynamics algorithm on unstructured grids, LA-UR-00-3231
8. A tensor artificial viscosity using a mimetic finite difference algorithm
9. Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures
10. Formulations of artificial viscosity for multidimensional shock wave computations
11. The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
12. A variational form of the Winslow grid generator
13. An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
14. A simplified adaptive mesh technique derived from the moving finite element method
15. Accurate conservative remapping (Rezoning) for arbitrary Lagrangian-Eulerian computations
16. A general topology Godunov method
17. Tetrahedral element shape optimization via the Jacobian determinant and condition number
18. An algorithm for continuous rezoning of the hydrodynamic grid in arbitrary Lagrangian-Eulerian computer codes
19. Three dimensional front tracking
20. A critical analysis of Rayleigh-Taylor growth rates
21. An arbitrary Lagrangian-Eulerian computing method for all flow speeds
22. 3D unstructured mesh ALE hydrodynamics with the upwind discontinuous finite element method
23. An arbitrary Lagrangian-Eulerian finite element method
24. Mesh generation using vector-fields
25. Jacobian-weighted elliptic grid generation
26. Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. I. A framework for surface mesh optimization
27. Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. II. A framework for volume mesh optimization and the condition number of the Jacobian matrix
28. Matrix norms and the condition number--a general framework to improve mesh quality via node-movement
29. A framework for variational grid generation: Conditioning the Jacobian matrix with matrix norms
30. Theory of the Rayleigh-Taylor instability
31. Chapter 3, Grid Quality Measures
32. Improved ALE mesh velocities for moving bodies
33. A method of treating hourglass patterns
34. Introduction to "an arbitrary Lagrangian-Eulerian computing method for all flow speeds"
35. Numerical modeling of two-dimensional gasdynamics flows on a variable-structure mesh
36. A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
37. Multimaterial ALE methods in unstructured grids
38. Conservative Finite-Difference Methods on General Grids
39. Solution of the diffusion equation by the finite elements in Lagrangian hydrodynamic codes
40. A velocity approach for the ALE method applied to 2D and 3D problems
41. Equations of Mathematical Physics
42. Funcionales Discretos para la Generacion de Mallas Suaves y Convexas sobre Regiones Planas Irregulares
43. Numerical solution of the quasilinear Poisson equations in a nonuniform triangle mesh