A Model Collision Operator for Orbit Averaged Monte Carlo Codes

2006 ◽  
Author(s):  
T. Hellsten ◽  
T. Johnson
Keyword(s):  
Monte Carlo ◽  
Collision Operator ◽  
Model Collision

scholarly journals Benchmark of a new multi-ion-species collision operator for δf Monte Carlo neoclassical simulation

2020 ◽  
Vol 255 ◽  
pp. 107249 ◽  
Author(s):  
Shinsuke Satake ◽  
Motoki Nataka ◽  
Theerasarn Pianpanit ◽  
Hideo Sugama ◽  
Masanori Nunami ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Collision Operator ◽  
Ion Species

scholarly journals Evolution Equation and Transport Coefficients of Swarms in Initial Relaxation Processes

1987 ◽  
Vol 40 (3) ◽  
pp. 367 ◽  
Author(s):  
Keiichi Kondo
Keyword(s):  
Evolution Equation ◽  
Transport Coefficients ◽  
Collision Operator ◽  
Operator Method ◽  
Time Dependent ◽  
Relaxation Processes ◽  
Projection Operator Method ◽  
Model Collision ◽  
The Difference ◽  
Dependent Transport

The problem of a swarm approaching the hydrodynamic regime is studied by using the projection operator method. An evolution equation for the density and the related time-dependent transport coefficient are derived. The effects of the initial condition on the transport characteristics of a swarm are separated from the intrinsic evolution of the swarms, and the difference from the continuity equation with time-dependent transport coefficients introduced by Tagashira et al. (1977, 1978) is discussed. To illustrate this method, calculations on the relaxation model collision operator have been carried out. The results are found to agree with the analysis by Robson (1975).

scholarly journals Improved linearized model collision operator for the highly collisional regime

2019 ◽  
Vol 26 (10) ◽  
pp. 102108 ◽  
Author(s):  
H. Sugama ◽  
S. Matsuoka ◽  
S. Satake ◽  
M. Nunami ◽  
T.-H. Watanabe
Keyword(s):  
Collision Operator ◽  
Model Collision ◽  
Linearized Model ◽  
Collisional Regime

A model Monte Carlo collision operator for toroidal plasmas

2013 ◽  
Vol 55 (10) ◽  
pp. 105002
Author(s):  
Q Mukhtar ◽  
T Hellsten ◽  
T Johnson
Keyword(s):  
Monte Carlo ◽  
Collision Operator ◽  
Toroidal Plasmas

scholarly journals Monte Carlo method and High Performance Computing for solving Fokker–Planck equation of minority plasma particles

2015 ◽  
Vol 81 (3) ◽  
Author(s):  
E. Hirvijoki ◽  
T. Kurki-Suonio ◽  
S. Äkäslompolo ◽  
J. Varje ◽  
T. Koskela ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
High Performance Computing ◽  
High Performance ◽  
Collision Operator ◽  
Planck Equation ◽  
Energetic Ions ◽  
The Monte Carlo Method ◽  
Particle Simulations ◽  
Performance Computing

This paper explains how to obtain the distribution function of minority ions in tokamak plasmas using the Monte Carlo method. Since the emphasis is on energetic ions, the guiding-center transformation is outlined, including also the transformation of the collision operator. Even within the guiding-center formalism, the fast particle simulations can still be very CPU intensive and, therefore, we introduce the reader also to the world of high-performance computing. The paper is concluded with a few examples where the presented method has been applied.

Convergence of A Distributional Monte Carlo Method for the Boltzmann Equation

2012 ◽  
Vol 4 (1) ◽  
pp. 102-121 ◽  
Author(s):  
Christopher R. Schrock ◽  
Aihua W. Wood
Keyword(s):  
Monte Carlo ◽  
Boltzmann Equation ◽  
Substantial Reduction ◽  
Direct Simulation Monte Carlo ◽  
Collision Operator ◽  
Direct Simulation ◽  
The Boltzmann Equation ◽  
Distributional Method ◽  
Point Measure ◽  
Simulation Monte Carlo

AbstractDirect Simulation Monte Carlo (DSMC) methods for the Boltzmann equation employ a point measure approximation to the distribution function, as simulated particles may possess only a single velocity. This representation limits the method to converge only weakly to the solution of the Boltzmann equation. Utilizing kernel density estimation we have developed a stochastic Boltzmann solver which possesses strong convergence for bounded and L∞ solutions of the Boltzmann equation. This is facilitated by distributing the velocity of each simulated particle instead of using the point measure approximation inherent to DSMC. We propose that the development of a distributional method which incorporates distributed velocities in collision selection and modeling should improve convergence and potentially result in a substantial reduction of the variance in comparison to DSMC methods. Toward this end, we also report initial findings of modeling collisions distributionally using the Bhatnagar-Gross-Krook collision operator.

scholarly journals A bounce-averaged Monte Carlo collision operator and ripple transport in a tokamak

1988 ◽  
Vol 31 (6) ◽  
pp. 1809 ◽  
Author(s):  
Jay M. Albert ◽  
Allen H. Boozer
Keyword(s):  
Monte Carlo ◽  
Collision Operator

Erratum: A model Monte Carlo collision operator for toroidal plasmas

2013 ◽  
Vol 55 (11) ◽  
pp. 119601
Author(s):  
Q Mukhtar ◽  
T Hellsten ◽  
T Johnson
Keyword(s):  
Monte Carlo ◽  
Collision Operator ◽  
Toroidal Plasmas
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