A Dynamically Adaptive Arbitrary Lagrangian-Eulerian Method for Solution of the Euler Equations
A new method that combines staggered grid arbitrary Lagrangian-Eulerian (ALE) techniques with structured local adaptive mesh refinement (AMR) has been developed for solution of the Euler equations. The novel components of the methods are driven by the need to reconcile traditional AMR techniques with the staggered variables and moving, deforming meshes associated with Lagrange based ALE schemes. We develop interlevel solution transfer operators and interlevel boundary conditions first in the case of purely Lagrangian hydrodynamics, and then extend these ideas into an ALE method by developing adaptive extensions of elliptic mesh relaxation techniques. Conservation properties of the method are analyzed, and a series of test problem calculations are presented which demonstrate the utility and efficiency of the method.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 15003343
- Report Number(s):
- UCRL-JC-151904; TRN: US200431%%45
- Resource Relation:
- Conference: Nuclear Explosive Code Developers Conference, Monterey, CA (US), 10/21/2002--10/24/2002; Other Information: PBD: 14 Feb 2003
- Country of Publication:
- United States
- Language:
- English
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