Block-structured adaptive mesh refinement algoritm for diffusion radiation

Conference · Wed Jan 27 04:00:00 EST 1999

OSTI ID:5771

Howell, L ^[1]; Greenough, J A

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1. LLNL

The block-structured adaptive mesh refinement (AMR) algorithm, originally developed by Berger and Oliger (1984), was shown to be effective for 2D gasdynamics by Berger and Colella (1989) and was then extended to 3D by Bell et al. (1994). Coupling the explicit integrator for hyperbolic equations with an implicit multigrid solver permits the solution of systems which also involve parabolic and elliptic effects. For example, an algorithm for the incompressible Navier-Stokes equations, presented as a prototype in (Howell and Bell, 1997) and as a fully-developed code in (Almgren et al., 1998), uses multigrid solvers to implicitly model the elliptic incompressibility constraint and the parabolic terms for diffusion. Other examples of implicit processes coupled to explicit advection in AMR codes include self- gravitation in astrophysics (Truelove et al., 1997), and discrete ordinates for radiation in combustion applications (Howell et al., 1998). In this paper we will present an Eulerian AMR implementation of single-group diffusion radiation, coupled to a Godunov integrator for explicit multi-fluid hydrodynamics. The advective portion of this algorithm is presented in this proceedings by Greenough et al. (1998), along with appropriate citations of previous work from which it was developed.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA
• Sponsoring Organization: USDOE Office of Defense Programs (DP)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5771
• Report Number(s): UCRL-JC-133094; DP0102052
• Country of Publication: United States
• Language: English