3D unstructured mesh ALE hydrodynamics with the upwind discontinuous galerkin method

Conference · Fri May 07 04:00:00 EDT 1999

OSTI ID:8507

Kershaw, D S ^[1]; Milovich, J L; Prasad, M K; Shaw, M J; Shestakov, A I

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1. LLNL

The authors describe a numerical scheme to solve 3D Arbitrary Lagrangian-Eulerian (ALE) hydrodynamics on an unstructured mesh using a discontinuous Galerkin method (DGM) and an explicit Runge-Kutta time discretization. Upwinding is achieved through Roe's linearized Riemann solver with the Harten-Hyman entropy fix. For stabilization, a 3D quadratic programming generalization of van Leer's 1D minmod slope limiter is used along with a Lapidus type artificial viscosity. This DGM scheme has been tested on a variety of hydrodynamic test problems and appears to be robust making it the basis for the integrated 3D inertial confinement fusion modeling code (ICF3D). For efficient code development, they use C++ object oriented programming to easily separate the complexities of an unstructured mesh from the basic physics modules. ICF3D is fully parallelized using domain decomposition and the MPI message passing library. It is fully portable. It runs on uniprocessor workstations and massively parallel platforms with distributed and shared memory.

• Research Organization: Lawrence Livermore National Lab., CA (US)
• Sponsoring Organization: USDOE Office of Defense Programs (DP) (US)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 8507
• Report Number(s): UCRL-JC-132987; DP0101031; DP0101031
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
99 GENERAL AND MISCELLANEOUS
ENTROPY
HYDRODYNAMICS
I CODES
ICF DEVICES
PARALLEL PROCESSING
RUNGE-KUTTA METHOD
THREE-DIMENSIONAL CALCULATIONS