Accurate numerical, integral methods for computing drift-kinetic Trubnikov-Rosenbluth potentials

DOI10.1016/j.jcp.2021.110862OpenAlexW3216459629MaRDI QIDQ2134728

Jeong-Young Ji, Eric D. Held, Joseph R. Jepson, Brett Adair, J. Andrew Spencer

Publication date: 3 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110862

zbMATH Keywords

potential theorymagnetically confined plasmasRosenbluth potentialsaxi-symmetric Green's functionbootstrap currentdrift-kinetic theory

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Applications of statistical mechanics to specific types of physical systems (82Dxx)

Uses Software

• NORSE
• Poissonsolver
• COGENT

Cites Work

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• Solving the Grad-Shafranov equation with spectral elements
• New velocity-space discretization for continuum kinetic calculations and Fokker-Planck collisions
• A finite element/Fourier treatment of the Fokker-Planck equation
• A high-accuracy Eulerian gyrokinetic solver for collisional plasmas
• Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator
• High order accurate vortex methods with explicit velocity kernels
• An integral equation technique for the exterior and interior Neumann problem in toroidal regions
• Rapid solution of integral equations of classical potential theory
• Vortex methods for flow simulation
• Contributions to vortex particle methods for the computation of three- dimensional incompressible unsteady flows
• Nonlinear magnetohydrodynamics simulation using high-order finite elements.
• Boundary integral equation analysis for suspension of spheres in Stokes flow
• NORSE: a solver for the relativistic non-linear Fokker-Planck equation for electrons in a homogeneous plasma
• Non-singular Green's functions for the unbounded Poisson equation in one, two and three dimensions
• A fully non-linear multi-species Fokker-Planck-Landau collision operator for simulation of fusion plasma
• Fast convolution with free-space Green's functions
• Numerical stability and numerical viscosity in certain meshless vortex methods as applied to the Navier-Stokes and heat equations
• Fokker-Planck Equation for an Inverse-Square Force
• [https://portal.mardi4nfdi.de/wiki/Publication:5578526 Gaussian Quadratures for the Integrals � ∞ 0 exp(-x 2 )f(x)dx and � b 0 exp(-x 2 )f(x)dx]
• Asymptotic Theory of the Boltzmann Equation
• On the kinetic theory of rarefied gases
• Multi-species collisions for delta-f gyrokinetic simulations: implementation and verification with GENE

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