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Title: Algorithm for Wave-Particle Resonances in Fluid Codes - Final Report

Abstract

We review the work performed under LDRD ER grant 98-ERD-099. The goal of this work is to write a subroutine for a fluid turbulence code that allows it to incorporate wave-particle resonances (WPR). WPR historically have required a kinetic code, with extra dimensions needed to evolve the phase space distribution function, f(x, v, t). The main results accomplished under this grant have been: (1) Derivation of a nonlinear closure term for 1D electrostatic collisionless fluid; (2) Writing of a 1D electrostatic fluid code, ''es1f,'' with a subroutine to calculate the aforementioned closure term; (3) derivation of several methods to calculate the closure term, including Eulerian, Euler-local, fully local, linearized, and linearized zero-phase-velocity, and implementation of these in es1f; (4) Successful modeling of the Landau damping of an arbitrary Langmuir wave; (5) Successful description of a kinetic two-stream instability up to the point of the first bounce; and (6) a spin-off project which uses a mathematical technique developed for the closure, known as the Phase Velocity Transform (PVT) to decompose turbulent fluctuations.

Authors:
Publication Date:
Research Org.:
Lawrence Livermore National Lab., CA (US)
Sponsoring Org.:
USDOE Office of Defense Programs (DP) (US)
OSTI Identifier:
792770
Report Number(s):
UCRL-ID-138116
TRN: US0300431
DOE Contract Number:  
W-7405-Eng-48
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 3 Mar 2000
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ALGORITHMS; DISTRIBUTION FUNCTIONS; ELECTROSTATICS; LANDAU DAMPING; PHASE SPACE; PHASE VELOCITY; TURBULENCE; TWO-STREAM INSTABILITY; FLOW MODELS; E CODES

Citation Formats

Mattor, N. Algorithm for Wave-Particle Resonances in Fluid Codes - Final Report. United States: N. p., 2000. Web. doi:10.2172/792770.
Mattor, N. Algorithm for Wave-Particle Resonances in Fluid Codes - Final Report. United States. doi:10.2172/792770.
Mattor, N. Fri . "Algorithm for Wave-Particle Resonances in Fluid Codes - Final Report". United States. doi:10.2172/792770. https://www.osti.gov/servlets/purl/792770.
@article{osti_792770,
title = {Algorithm for Wave-Particle Resonances in Fluid Codes - Final Report},
author = {Mattor, N},
abstractNote = {We review the work performed under LDRD ER grant 98-ERD-099. The goal of this work is to write a subroutine for a fluid turbulence code that allows it to incorporate wave-particle resonances (WPR). WPR historically have required a kinetic code, with extra dimensions needed to evolve the phase space distribution function, f(x, v, t). The main results accomplished under this grant have been: (1) Derivation of a nonlinear closure term for 1D electrostatic collisionless fluid; (2) Writing of a 1D electrostatic fluid code, ''es1f,'' with a subroutine to calculate the aforementioned closure term; (3) derivation of several methods to calculate the closure term, including Eulerian, Euler-local, fully local, linearized, and linearized zero-phase-velocity, and implementation of these in es1f; (4) Successful modeling of the Landau damping of an arbitrary Langmuir wave; (5) Successful description of a kinetic two-stream instability up to the point of the first bounce; and (6) a spin-off project which uses a mathematical technique developed for the closure, known as the Phase Velocity Transform (PVT) to decompose turbulent fluctuations.},
doi = {10.2172/792770},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Mar 03 00:00:00 EST 2000},
month = {Fri Mar 03 00:00:00 EST 2000}
}

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