Quiet direct simulation of Coulomb collisions

Quiet direct simulation Monte Carlo (QDSMC) is a new particle simulation technique that is applicable to a broad range of applications where the underlying system dynamics obey Fokker Planck equations. These include hydrodynamics, radiation transport, magnetohydrodynamics, diffusion, and collisional...

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Veröffentlicht in:IEEE transactions on plasma science 2003-02, Vol.31 (1), p.19-24
Hauptverfasser: Albright, B.J., Winske, D., Lemons, D.S., Daughton, W., Jones, M.E.
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container_end_page 24
container_issue 1
container_start_page 19
container_title IEEE transactions on plasma science
container_volume 31
creator Albright, B.J.
Winske, D.
Lemons, D.S.
Daughton, W.
Jones, M.E.
description Quiet direct simulation Monte Carlo (QDSMC) is a new particle simulation technique that is applicable to a broad range of applications where the underlying system dynamics obey Fokker Planck equations. These include hydrodynamics, radiation transport, magnetohydrodynamics, diffusion, and collisional kinetic plasmas. At the beginning of each time step in QDSMC, the weights and abscissas of Gaussian-Hermite quadrature are used to deterministically create particles to sample the random process. At the end of the time step, particles are gathered to the computational mesh to obtain updated distributions of conserved quantities on the mesh and then the particles are destroyed. The creation and destruction of particles allows arbitrary dynamical range to be accessed quiescently with only a small number of particles per computational cell. The application of QDSMC to the simulation of Coulomb collisions is considered in this report, and the method is demonstrated on problems involving the collisional relaxation of non-Maxwellian distributions.
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subjects Computation
Computational fluid dynamics
Computer simulation
Coulomb collisions
Equations
Exact sciences and technology
Finite element method
Fluid flow
Fokker-Planck equation
Fokker-plank and vlasov equations
Gaussian processes
Hydrodynamics
Kinetic theory
Magnetohydrodynamics
Mathematical analysis
Monte Carlo methods
Monte Carlo simulation
Particle physics
Particle-in-cell method
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Plasma applications
Plasma simulation
Plasma transport processes
Random processes
title Quiet direct simulation of Coulomb collisions
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