Direct numerical solution of model kinetic equations for flows in arbitrary three-dimensional geometries

2012 ◽  
Author(s):  
V. A. Titarev
Keyword(s):  
Numerical Solution ◽  
Kinetic Equations ◽  
Three Dimensional ◽  
Model Kinetic Equations ◽  
Direct Numerical Solution

A numerical solution of the kinetic equations for a spectrum of Langmuir turbulence

1984 ◽  
Vol 31 (2) ◽  
pp. 253-261
Author(s):  
Denis Hayward
Keyword(s):  
Numerical Solution ◽  
Relativistic Electron Beam ◽  
Final Section ◽  
Plasma Heating ◽  
Kinetic Equations ◽  
Langmuir Turbulence ◽  
Quick Method ◽  
Isothermal Plasma ◽  
Principal Contributor ◽  
Made In

The main properties of a kinetic wave equation in an isothermal plasma, Te ≈ Ti, are discussed and a quick method of numerical solution based on factorization of the kernel of an integral equation is outlined. As an illustration the method is applied to the problem of plasma heating with a relativistic electron beam and it is shown how the evolution of a spectrum of Langmuir turbulence is the principal contributor to the heating of the plasma. The technique allows an estimate of the error which is present in the stationary solution, and this is made in the final section.

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