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Title: Modeling fluid instabilities in inertial confinement fusion hydrodynamics codes

Abstract

The numerical tools typically used to model the evolution of fluid instabilities in inertial confinement fusion hydrodynamics codes are examined, and some are found to have properties which would seem to be incompatible with the accurate modeling of small-amplitude perturbations, i.e., perturbations in the linear stage of evolution. In particular a 'differentiability condition' which is satisfied by the physics in such situations is not necessarily satisfied by the numerical algorithms in typical use. It is demonstrated that it is possible to remove much of the nondifferentiability in many cases, and that substantial improvement in one's ability to accurately model the evolution of small-amplitude perturbations can result. First a simple example involving a nondifferentiable radiation transport algorithm is shown, and then the nondifferentiabilities introduced by the use of upwind and 'high resolution' hydrodynamics algorithms are analyzed.

Authors:
; ; ;  [1]
  1. Plasma Physics Division, Naval Research Laboratory, Washington, DC 20375 (United States)
Publication Date:
OSTI Identifier:
20736603
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 12; Journal Issue: 5; Other Information: DOI: 10.1063/1.1885004; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ALGORITHMS; DISTURBANCES; HYDRODYNAMICS; INERTIAL CONFINEMENT; PLASMA INSTABILITY; PLASMA SIMULATION; RADIATION TRANSPORT

Citation Formats

Zalesak, Steven T, Schmitt, Andrew J, Velikovich, A L, Gardner, J H, and Laboratory for Computational Physics and Fluid Dynamics, Naval Research Laboratory, Washington, DC 20375. Modeling fluid instabilities in inertial confinement fusion hydrodynamics codes. United States: N. p., 2005. Web. doi:10.1063/1.1885004.
Zalesak, Steven T, Schmitt, Andrew J, Velikovich, A L, Gardner, J H, & Laboratory for Computational Physics and Fluid Dynamics, Naval Research Laboratory, Washington, DC 20375. Modeling fluid instabilities in inertial confinement fusion hydrodynamics codes. United States. https://doi.org/10.1063/1.1885004
Zalesak, Steven T, Schmitt, Andrew J, Velikovich, A L, Gardner, J H, and Laboratory for Computational Physics and Fluid Dynamics, Naval Research Laboratory, Washington, DC 20375. 2005. "Modeling fluid instabilities in inertial confinement fusion hydrodynamics codes". United States. https://doi.org/10.1063/1.1885004.
@article{osti_20736603,
title = {Modeling fluid instabilities in inertial confinement fusion hydrodynamics codes},
author = {Zalesak, Steven T and Schmitt, Andrew J and Velikovich, A L and Gardner, J H and Laboratory for Computational Physics and Fluid Dynamics, Naval Research Laboratory, Washington, DC 20375},
abstractNote = {The numerical tools typically used to model the evolution of fluid instabilities in inertial confinement fusion hydrodynamics codes are examined, and some are found to have properties which would seem to be incompatible with the accurate modeling of small-amplitude perturbations, i.e., perturbations in the linear stage of evolution. In particular a 'differentiability condition' which is satisfied by the physics in such situations is not necessarily satisfied by the numerical algorithms in typical use. It is demonstrated that it is possible to remove much of the nondifferentiability in many cases, and that substantial improvement in one's ability to accurately model the evolution of small-amplitude perturbations can result. First a simple example involving a nondifferentiable radiation transport algorithm is shown, and then the nondifferentiabilities introduced by the use of upwind and 'high resolution' hydrodynamics algorithms are analyzed.},
doi = {10.1063/1.1885004},
url = {https://www.osti.gov/biblio/20736603}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 5,
volume = 12,
place = {United States},
year = {Sun May 15 00:00:00 EDT 2005},
month = {Sun May 15 00:00:00 EDT 2005}
}