Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods |
| |
Authors: | David Bailey Mikhail Shashkov |
| |
Institution: | a Lawrence Livermore National Laboratory, P.O. Box 808 L-016, Livermore, CA 94551, USA b Theoretical Division, T-5, Los Alamos National Laboratory MS-B284, Los Alamos, NM 87545, USA c Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Brehova 7, Praha 1, 115 19, Czech Republic |
| |
Abstract: | Remapping is an essential part of most Arbitrary Lagrangian-Eulerian (ALE) methods. In this paper, we focus on the part of the remapping algorithm that performs the interpolation of the fluid velocity field from the Lagrangian to the rezoned computational mesh in the context of a staggered discretization. Standard remapping algorithms generate a discrepancy between the remapped kinetic energy, and the kinetic energy that is obtained from the remapped nodal velocities which conserves momentum. In most ALE codes, this discrepancy is redistributed to the internal energy of adjacent computational cells which allows for the conservation of total energy. This approach can introduce oscillations in the internal energy field, which may not be acceptable. We analyze the approach introduced in Bailey (1984) 11] which is not supposed to introduce dissipation. On a simple example, we demonstrate a situation in which this approach fails. A modification of this approach is described, which eliminates (when it is possible) or reduces the energy discrepancy. |
| |
Keywords: | Conservative interpolations Staggered discretization Flux-based remap Velocity remap |
本文献已被 ScienceDirect 等数据库收录! |
|