E. J. Kolmes, I. E. Ochs, N. J. Fisch
MITNS (Multiple-Ion Transport Numerical Solver) is a new numerical tool designed to perform 1D simulations of classical cross-field transport in magnetized plasmas. Its detailed treatment of multi-species effects makes it a unique tool in the field. We describe the physical model it simulates, as well as its numerical implementation and performance.
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The rotation profile of a magnetized plasma cylinder composed of multiple fluids is investigated analytically, expanding on previous results. The analytic steady-state solution is used as a benchmark for a time-dependent multiple-fluid finite-difference code, MITNS: Multiple-Ion Transport Numerical Solver. Magnetic field evolution is taken into account, both analytically and numerically. Its details are shown to be of importance when particles are allowed out of the domain. MITNS reproduces the asymptotic expansion results for a small parameter $δ\lll1$. For $\sqrt{m_e/m_i} \sim δ\ll 1$, a sli…
BO-PBK: A comprehensive solver for dispersion relations of obliquely propagating waves in magnetized multi-species plasma with anisotropic loss-cone drift product-bi-kappa distribution
BO-PBK是一种用于磁化多物种等离子体中斜向传播波色散关系的高效求解器，支持多种分布函数并提升计算效率。
A burning fusion plasma has a large inwards flux of fuel and outwards flux of ash. Existing impurity transport theories do not account for a steady-state environment of such large fluxes. In this paper, we extend classical transport theory to account for a background of such fluxes. In a mainly two-ion species magnetized plasma, with oppositely directed density gradients maintained by oppositely directed sources of the two species, trace impurity ions are shown to align with the larger mass ions. This unexpected behavior is derived analytically and simulated numerically using the MITNS (Multip…
A general dispersion-relation solver that numerically evaluates the full propagation properties of all the waves in fluid plasmas is presented. The effects of anisotropic pressure, external magnetic fields and beams, relativistic dynamics, as well as local plasma inhomogeneity are included. [Computer Physics Communications, (2013); doi: 10.1016/j.cpc.2013.10.012; code: http://cpc.cs.qub.ac.uk/summaries/AERF\_v1\_0.html]
Fully realizing the potential of multigrid solvers often requires custom algorithms for a given application model, discretizations and even regimes of interest, despite considerable effort from the applied math community to develop fully algebraic multigrid (AMG) methods for almost 40 years. Classic geometric multigrid (GMG) has been effectively applied to challenging, non-elliptic problems in engineering and scientifically relevant codes, but application specific algorithms are generally required that do not lend themselves to deployment in numerical libraries. However, tools in libraries tha…
A technique of magnetized plasma simulation have been implemented into a well known FDTD solver MEEP as a child class of "susceptibility" class. Magnetized plasma posses gyrotrophic properties, polarization vector is being rotated while the wave propagates through the material. Solid state plasma can be found in semiconductor materials which rises a question of using gyrotrophic properties of plasma in modern photonic development. To test the software, a circular polarized wave propagation through 9mm layer of magnetized plasma has been simulated and compared to the analytical solution.
A general, fast, and effective approach is developed for numerical calculation of kinetic plasma dispersion relations. The plasma dispersion function is approximated by $J$-pole expansion. Subsequently, the dispersion relation is transformed to a standard matrix eigenvalue problem of an equivalent linear system. The result is accurate for $J=8$ except the solutions that are the little interesting heavily damped modes. In contrast to conventional approaches, such as Newton's iterative method, this approach can give either all the solutions in the system or a few solutions around the initial gue…
Recently the drift-reduced Landau fluid six-field turbulence model within the BOUT++ framework has been upgraded. In particular, this new model employs a new normalization, adds a volumetric flux-driven source option, the Landau fluid closure for parallel heat flux and a Laplacian inversion solver which is able to capture n=0 axisymmetric mode evolution in realistic tokamak configurations. These improvements substantially extended model's capability to study a wider range of tokamak edge phenomena, and are essential to build a fully self-consistent edge turbulence model capable of both transie…
Space plasmas are known to be out of (local) thermodynamic equilibrium, as observations show direct or indirect evidences of non-thermal velocity distributions of plasma particles. Prominent are the anisotropies relative to the magnetic field, anisotropic temperatures, field-aligned beams or drifting populations, but also, the suprathermal populations enhancing the high-energy tails of the observed distributions. Drifting bi-Kappa distribution functions can provide a good representation of these features and enable for a kinetic fundamental description of the dispersion and stability of these …
A structure-preserving multiscale solver for particle-wave interaction in non-uniform magnetized plasmas
本文提出一种结合守恒局部间断伽辽金格式与轨迹平均方法的结构保持多尺度求解器，用于非均匀磁化等离子体中粒子-波相互作用，严格保持守恒律并降低计算成本。
An implicit, conservative and asymptotic-preserving electrostatic particle-in-cell algorithm for arbitrarily magnetized plasmas in uniform magnetic fields
本文提出一种适用于均匀磁场中任意磁化等离子体的隐式、守恒且渐近保持的静电PIC算法，通过新的粒子推进方案实现远超回旋周期的大时间步长，在保持能量和电荷精确守恒的同时获得数量级计算加速。
TIFF: Gyrofluid Turbulence in Full-f and Full-k
本研究提出可适配任意涨落幅度与极化波长的磁化等离子体湍流陀螺流体计算模型TIFF，对比了广义泊松问题的多种求解器并提出动态校正傅里叶实现方案，可为相关模型开发与湍流基础研究提供参考。
MATLAB solver for general dispersion relation has been developed to study local instabilities in partially magnetized plasmas typical for ExB discharges. Several examples of the Simon-Hoh, lower-hybrid and ion-sound instabilities with the parameters typical for Penning discharge are shown. This solver allows parametrically investigate the local dispersion relation for the wide range of plasma parameters and prepare reports.
In many problems involving particle accelerators and relativistic plasmas, the accurate modeling of relativistic particle motion is essential for accurate physical predictions. Here, we extend a charge-conserving finite element time-domain (FETD) particle-in-cell (PIC) algorithm for the time-dependent Maxwell-Vlasov equations on irregular (unstructured) meshes to the relativistic regime by implementing and comparing three particle pushers: (relativistic) Boris, Vay, and Higuera-Cary. We illustrate the application of the proposed relativistic FETD-PIC algorithm for the analysis of particle cycl…
ALLIANCE: Spectral solver for kinetic plasma turbulence
本文介绍ALLIANCE代码，用于求解四维电磁漂移动理学方程，采用Fourier-Laguerre-Hermite光谱形式和伪光谱方法，适用于天体物理等离子体湍流级联研究，并完成了验证与基准测试。
In this work, we derive a dispersion equation that describes the excitation of the oblique (or Alfvén) firehose instability in a plasma that contains both electron and ion species modelled by bi-kappa velocity distribution functions. The equation is obtained with the assumptions of low-frequency waves and moderate to large values of the parallel (respective to the ambient magnetic field) plasma beta parameter, but it is valid for any direction of propagation and for any value of the particle gyroradius (or Larmor radius). Considering values for the physical parameters typical to those found in…
A radio frequency (RF) field solver based on Maxwell's equations and a cold plasma dielectric tensor is em- ployed to describe wave phenomena observed in a cylindrical non-uniform helicon discharge. The experiment is carried out on a recently built linear plasma-material interaction machine: the MAGnetized Plasma In- teraction Experiment (MAGPIE) [B. D. Blackwell, J. F. Caneses, C. Samuell, J. Wach, J. Howard, and C. S. Corr, submitted on 25 March 2012 to Plasma Sources Science and Technology], in which both plasma density and static magnetic field are functions of axial position. The field st…
The particle-in-cell (PIC) method is successfully used to study magnetized plasmas. However, this requires large computational costs and limits simulations to short physical run-times and often to setups in less than three spatial dimensions. Traditionally, this is circumvented either via hybrid-PIC methods (adopting massless electrons) or via magneto-hydrodynamic-PIC methods (modelling the background plasma as a single charge-neutral magneto-hydrodynamical fluid). Because both methods preclude modelling important plasma-kinetic effects, we introduce a new fluid-PIC code that couples a fully e…
A polar-harmonic unified gas-kinetic scheme for magnetized ion dynamics from cyclotron kinetics to the Hall-Pedersen constitutive limit
本文提出极谐统一气体动理学格式（PH-UGKS），统一求解磁化离子从回旋动理学到霍尔-佩德森漂移扩散的输运，通过精确碰撞-旋转积分和渐近保持实现跨尺度高效模拟。
A performance portable, fully implicit Landau collision operator with batched linear solvers
本文提出一种基于批处理线性求解器的高性能、完全非线性 Landau碰撞算算子，利用Kokkos实现性能可移植性，在PE和设备上均高效运行，在NVIDIA A100和AMD MI250X节点上展现了高硬件利用率。
Electromagnetic field solver for QED polarization in super-strong magnetic fields of magnetar and laser plasmas
本文提出了首个在Schwinger极限外有效的电磁场求解器，通过非线性Maxwell方程建模超强磁场中的QED真空极化，并验证了其对电磁波双折射效应的准确再现，可广泛应用于多种动理学模拟。
A common strategy in the numerical solution of partial differential equations is to define a uniform discretization of a tensor-product multi-dimensional logical domain, which is mapped to a physical domain through a given coordinate transformation. By extending this concept to a multi-patch setting, simple and efficient numerical algorithms can be employed on relatively complex geometries. The main drawback of such an approach is the inherent difficulty in dealing with singularities of the coordinate transformation. This work suggests a comprehensive numerical strategy for the common situatio…
Recently a variational integrator for ideal magnetohydrodynamics in Lagrangian labeling has been developed. Its built-in frozen-in equation makes it optimal for studying current sheet formation. We use this scheme to study the Hahm-Kulsrud-Taylor problem, which considers the response of a 2D plasma magnetized by a sheared field under sinusoidal boundary forcing. We obtain an equilibrium solution that preserves the magnetic topology of the initial field exactly, with a fluid mapping that is non-differentiable. Unlike previous studies that examine the current density output, we identify a singul…
Braginskii Viscosity in Cosmological Simulations of Galaxy Clusters: Implementation, Validation, and First Application
研究在OpenGadget3的MHD框架内实现各向异性粘度求解器，依布拉金斯基公式建模并含限制器，经测试验证其准确性与稳健性，还应用于星系团模拟，为研究磁化天体物理系统的各向异性粘度提供了有效工具。
Runaway electrons (REs) can be generated in tokamak plasmas if the accelerating force from the toroidal electric field exceeds the collisional drag force due to Coulomb collisions with the background plasma. In ITER, disruptions are expected to generate REs mainly through knock-on collisions, where enough momentum can be transferred from existing runaways to slow electrons to transport the latter beyond a critical momentum, setting off an avalanche of REs. Since knock-on runaways are usually scattered off with a significant perpendicular component of the momentum with respect to the local magn…
Phase-Space Energy Transfer of Wave-Particle Interactions using the Field-Particle Correlation Technique and Linear Plasma Theory with JET-PLUME
针对波-粒子相互作用中能量转移难以全面表征的问题，提出JET-PLUME扩展方法，通过解析傅里叶空间场-粒子关联公式，分离共振贡献并揭示新物理机制。
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