Stable solutions of nonlocal electron heat transport equations

Journal Article · Fri Nov 01 04:00:00 EST 1991 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.859995· OSTI ID:5019445

Prasad, M K; Kershaw, D S ^[1]

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1. Computational Physics Division, Lawrence Livermore National Laboratory, Livermore, California (USA)

Electron heat transport equations with a nonlocal heat flux are in general ill-posed and intrinsically unstable, as proved by the present authors (Phys. Fluids B {bold 1}, 2430 (1989)). A straightforward numerical solution of these equations will therefore lead to absurd results. It is shown here that by imposing a minimal set of constraints on the problem it is possible to arrive at a globally stable, consistent, and energy conserving numerical solution.

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5019445
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 3:11; ISSN PFBPE; ISSN 0899-8221
• Country of Publication: United States
• Language: English

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101* -- Fusion Energy-- Plasma Research-- Confinement
Heating
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BOUNDARY CONDITIONS
COLLISIONS
ELECTRON COLLISIONS
ELECTRON DENSITY
ELECTRON TEMPERATURE
ELECTRON-ELECTRON COLLISIONS
ELECTRON-ION COLLISIONS
ENERGY TRANSFER
GLOBAL ASPECTS
HEAT FLUX
HEAT TRANSFER
ION COLLISIONS
MEAN FREE PATH
NUMERICAL SOLUTION
PLASMA
TEMPERATURE DEPENDENCE
TRANSPORT THEORY