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Title: Manufactured solutions for the three-dimensional Euler equations with relevance to Inertial Confinement Fusion

We present a set of manufactured solutions for the three-dimensional (3D) Euler equations. The purpose of these solutions is to allow for code verification against true 3D flows with physical relevance, as opposed to 3D simulations of lower-dimensional problems or manufactured solutions that lack physical relevance. Of particular interest are solutions with relevance to Inertial Confinement Fusion (ICF) capsules. While ICF capsules are designed for spherical symmetry, they are hypothesized to become highly 3D at late time due to phenomena such as Rayleigh–Taylor instability, drive asymmetry, and vortex decay. ICF capsules also involve highly nonlinear coupling between the fluid dynamics and other physics, such as radiation transport and thermonuclear fusion. The manufactured solutions we present are specifically designed to test the terms and couplings in the Euler equations that are relevant to these phenomena. Example numerical results generated with a 3D Finite Element hydrodynamics code are presented, including mesh convergence studies.
Authors:
 [1] ;  [2] ;  [1] ; ;  [3]
  1. Computational Physics Division, Los Alamos National Laboratory, Los Alamos, NM (United States)
  2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM (United States)
  3. Computational and Computer Sciences Division, Los Alamos National Laboratory, Los Alamos, NM (United States)
Publication Date:
OSTI Identifier:
22314870
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 267; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ASYMMETRY; CONVERGENCE; FINITE ELEMENT METHOD; FLUID FLOW; HYDRODYNAMICS; ICF DEVICES; INERTIAL CONFINEMENT; NONLINEAR PROBLEMS; RADIATION TRANSPORT; RAYLEIGH-TAYLOR INSTABILITY; THREE-DIMENSIONAL CALCULATIONS; VORTICES