An embedded boundary method for viscous, conducting compressibleflow

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The evolution of an Inertial Fusion Energy (IFE) chamberinvolves a repetition of short, intense depositions of energy (fromtarget ignition) into a reaction chamber, followed by the turbulentrelaxation of that energy through shock waves and thermal conduction tothe vessel walls. We present an algorithm for 2D simulations of the fluidinside an IFE chamber between fueling repetitions. Our finite-volumediscretization for the Navier-Stokes equations incorporates a Cartesiangrid treatment for irregularly-shaped domain boundaries. The discreteconservative update is based on a time-explicit Godunov method foradvection, and a two-stage Runge-Kutta update for diffusion accommodatingstate-dependent transport properties. Conservation is enforced on cutcells along the embedded boundary interface ... continued below

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Dragojlovic, Zoran; Najmabadi, Farrokh & Day, Marcus October 20, 2004.

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The evolution of an Inertial Fusion Energy (IFE) chamberinvolves a repetition of short, intense depositions of energy (fromtarget ignition) into a reaction chamber, followed by the turbulentrelaxation of that energy through shock waves and thermal conduction tothe vessel walls. We present an algorithm for 2D simulations of the fluidinside an IFE chamber between fueling repetitions. Our finite-volumediscretization for the Navier-Stokes equations incorporates a Cartesiangrid treatment for irregularly-shaped domain boundaries. The discreteconservative update is based on a time-explicit Godunov method foradvection, and a two-stage Runge-Kutta update for diffusion accommodatingstate-dependent transport properties. Conservation is enforced on cutcells along the embedded boundary interface using a local redistributionscheme so that the explicit time step for the combined approach isgoverned by the mesh spacing in the uniform grid. The test problemsdemonstrate second-order convergence of the algorithm on smooth solutionprofiles, and the robust treatment of discontinuous initial data in anIFE-relevant vessel geometry.

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  • Journal Name: Journal of Computational Physics; Journal Volume: 216; Journal Issue: 1; Related Information: Journal Publication Date: 07/20/2006

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  • Report No.: LBNL--56627
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 919907
  • Archival Resource Key: ark:/67531/metadc895740

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  • October 20, 2004

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 29, 2016, 8:23 p.m.

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Dragojlovic, Zoran; Najmabadi, Farrokh & Day, Marcus. An embedded boundary method for viscous, conducting compressibleflow, article, October 20, 2004; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc895740/: accessed August 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.