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High-Order Multi-Material ALE Hydrodynamics

Journal Article · · SIAM Journal on Scientific Computing
DOI:https://doi.org/10.1137/17M1116453· OSTI ID:1474269
 [1];  [1];  [1];  [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
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Here, we present a new approach for multi-material arbitrary Lagrangian--Eulerian (ALE) hydrodynamics simulations based on high-order finite elements posed on high-order curvilinear meshes. The method builds on and extends our previous work in the Lagrangian and remap phases of ALE, and depends critically on a functional perspective that enables subzonal physics and material modeling. Curvilinear mesh relaxation is based on node movement, which is determined through the solution of an elliptic equation. The remap phase is posed in terms of advecting state variables between two meshes over a fictitious time interval. The resulting advection equation is solved by a discontinuous Galerkin (DG) formulation, combined with a customized Flux Corrected Transport (FCT) type algorithm. Because conservative fields are remapped, additional synchronization steps are introduced to preserve bounds with respect to primal fields. These steps include modification of the low-order FCT solutions, definition of conservative FCT fluxes based on primal field bounds, and monotone transitions between primal and conservative fields.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1474269
Report Number(s):
LLNL-JRNL--706339; 841424
Journal Information:
SIAM Journal on Scientific Computing, Journal Name: SIAM Journal on Scientific Computing Journal Issue: 1 Vol. 40; ISSN 1064-8275
Publisher:
SIAMCopyright Statement
Country of Publication:
United States
Language:
English

Figures / Tables (11)

Fig. 1.1(p. 4)figure Fig. 1.1
Fig. 6.1(p. 25)figure Fig. 6.1
TABLE 6.1(p. 25)table TABLE 6.1
Fig. 6.2(p. 26)figure Fig. 6.2
TABLE 6.2(p. 26)table TABLE 6.2
Fig. 6.3(p. 27)figure Fig. 6.3
Fig. 6.4(p. 28)figure Fig. 6.4
Fig. 6.5(p. 30)figure Fig. 6.5
Fig. 6.6(p. 31)figure Fig. 6.6
Fig. 6.7(p. 31)figure Fig. 6.7
Fig. 6.8(p. 31)figure Fig. 6.8

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Related Subjects

97 MATHEMATICS AND COMPUTING
ALE methods
curvilinear meshes
finite elements
high-order methods
hydrodynamics
multi-material flow