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

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

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.

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

NANOELECTRONIC DEVICE SIMULATION BASED ON THE WIGNER FUNCTION FORMALISM

2007 ◽  
Vol 17 (03) ◽  
pp. 475-484
Author(s):  
HANS KOSINA
Keyword(s):  
Monte Carlo ◽  
Kinetic Equation ◽  
Wigner Function ◽  
Transport Model ◽  
Collision Operator ◽  
Iteration Scheme ◽  
Open Boundary ◽  
Potential Operator ◽  
Open Boundary Conditions ◽  
Carrier Scattering

Coherent transport in mesoscopic devices is well described by the Schrödinger equation supplemented by open boundary conditions. When electronic devices are operated at room temperature, however, a realistic transport model needs to include carrier scattering. In this work the kinetic equation for the Wigner function is employed as a model for dissipative quantum transport. Carrier scattering is treated in an approximate manner through a Boltzmann collision operator. A Monte Carlo technique for the solution of this kinetic equation has been developed, based on an interpretation of the Wigner potential operator as a generation term for numerical particles. Including a multi-valley semiconductor model and a self-consistent iteration scheme, the described Monte Carlo simulator can be used for routine device simulations. Applications to single barrier and double barrier structures are presented. The limitations of the numerical Wigner function approach are discussed.

Properties of the Monte Carlo Lorentz collision operator

1977 ◽  
Vol 20 (7) ◽  
pp. 1089 ◽  
Author(s):  
Wendell Horton ◽  
R. Estes ◽  
Duk-In Choi
Keyword(s):  
Monte Carlo ◽  
Collision Operator
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