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The derivation and numerical implementation of a linearized version of the gyrokinetic (GK) Coulomb collision operator (Jorge R. et al., J. Plasma Phys. 85, 905850604 (2019)) and of the widely-used linearized GK Sugama collision operator…

Plasma Physics · Physics 2022-02-15 B. J. Frei , J. Ball , A. C. D. Hoffmann , R. Jorge , P. Ricci , L. Stenger

We present a study of the linear properties of ion temperature gradient (ITG) modes with collisions modelled by the linearized gyrokinetic (GK) Coulomb collision operator (Frei et al. 2021) in the local limit. The study is based on a…

Plasma Physics · Physics 2022-06-01 B. J. Frei , A. C. R. Hoffmann , P. Ricci

A gyrokinetic Coulomb collision operator is derived, which is particularly useful to describe the plasma dynamics at the periphery region of magnetic confinement fusion devices. The derived operator is able to describe collisions occurring…

Plasma Physics · Physics 2019-11-05 R. Jorge , B. J. Frei , P. Ricci

The linearized model collision operator for multiple species plasmas given by H. Sugama, T.-H. Watanabe, and M. Nunami [Phys.\ Plasmas {\bf 16}, 112503 (2009)] is improved to be properly applicable up to the highly collisional regime. The…

Plasma Physics · Physics 2020-01-08 Hideo Sugama , Seikichi Matsuoka , Shinsuke Satake , Masanori Nunami , Tomohiko Watanabe

This work reports on the development and numerical implementation of the linear electromagnetic gyrokinetic (GK) model in a tokamak flux-tube geometry using a moment approach based on the expansion of the perturbed distribution function on…

Plasma Physics · Physics 2022-10-13 B. J. Frei , A. C. D. Hoffmann , P. Ricci , S. Brunner , Z. Tecchiolli

Plasmas with varying collisionalities occur in many applications, such as tokamak edge regions, where the flows are characterized by significant variations in density and temperature. While a kinetic model is necessary for…

Computational Engineering, Finance, and Science · Computer Science 2017-07-27 Debojyoti Ghosh , Mikhail A. Dorf , Milo R. Dorr , Jeffrey A. F. Hittinger

Sampling-based kinodynamic motion planners (SKMPs) are powerful in finding collision-free trajectories for high-dimensional systems under differential constraints. Time-informed set (TIS) can provide the heuristic search domain to…

Robotics · Computer Science 2024-07-04 Fei Meng , Jianbang Liu , Haojie Shi , Han Ma , Hongliang Ren , Max Q. -H. Meng

A set of key properties for an ideal dissipation scheme in gyrokinetic simulations is proposed, and implementation of a model collision operator satisfying these properties is described. This operator is based on the exact linearized…

A drift-kinetic model to describe the plasma dynamics in the scrape-off layer region of tokamak devices at arbitrary collisionality is derived. Our formulation is based on a gyroaveraged Lagrangian description of the charged particle…

Plasma Physics · Physics 2019-04-18 R. Jorge , P. Ricci , N. F. Loureiro

We present a convergence study of the gyromoment (GM) approach, which is based on projecting the gyrokinetic distribution function onto a Hermite-Laguerre polynomial basis, focused on the cyclone base case (CBC) (Lin et al. 1999) and Dimits…

Plasma Physics · Physics 2023-11-21 A. C. D. Hoffmann , B. J. Frei , P. Ricci

Integrating machine learning techniques in established numerical solvers represents a modern approach to enhancing computational fluid dynamics simulations. Within the lattice Boltzmann method (LBM), the collision operator serves as an…

Computational Physics · Physics 2024-12-12 Mario Christopher Bedrunka , Tobias Horstmann , Ben Picard , Dirk Reith , Holger Foysi

A numerically efficient framework that takes into account the effect of the Coulomb collision operator at arbitrary collisionalities is introduced. Such model is based on the expansion of the distribution function on a Hermite-Laguerre…

Plasma Physics · Physics 2019-04-18 R. Jorge , P. Ricci , N. F. Loureiro

We propose a methodology to infer collision operators from phase space data of plasma dynamics. Our approach combines a differentiable kinetic simulator, whose core component in this work is a differentiable Fokker-Planck solver, with a…

Plasma Physics · Physics 2026-01-19 Diogo D. Carvalho , Pablo J. Bilbao , Warren B. Mori , Luis O. Silva , E. Paulo Alves

The Coulomb logarithm often enters various plasma models and simulation methods for computing the transport and relaxation properties of plasmas. Traditionally, a classical pair collision picture was used to calculate the Coulomb logarithm…

Plasma Physics · Physics 2024-08-20 S. K. Kodanova , T. S. Ramazanov , M. K. Issanova

A new form of the model collision operator for a Boltzmann gas of hard spheres and Coulomb plasma is derived. One-component and many-component systems are considered. The collision operator proposed takes properly into account the…

Statistical Mechanics · Physics 2014-09-23 Viacheslav V. Belyi

Real-time humanoid teleoperation requires inverse kinematics (IK) solvers that are both responsive and constraint-safe under kinematic redundancy and self-collision constraints. While differential IK enables efficient online retargeting,…

Robotics · Computer Science 2026-03-26 Junheng Li , Lizhi Yang , Aaron D. Ames

Collisions play an important role in turbulence and transport of fusion plasmas. For kinetic simulations, as the collisionality increases in the domain of interest, the size of the time step to resolve the collisional physics can become…

Plasma Physics · Physics 2025-11-14 D. Liu , J. Juno , G. W. Hammett , A. Hakim , A. Shukla , M. Francisquez

Accurate time-dependent quantum dynamics of Coulombic systems on grid-based representations remains computationally demanding due to the singularity of the Coulomb potential, which necessitates extremely fine spatial grids to mitigate…

Quantum Physics · Physics 2026-03-04 Xiaoning Feng , Hans Hon Sang Chan , David P. Tew

This paper proposes a novel numerical integrator for modeling multispecies Coulomb collisions in kinetic plasmas. The proposed scheme provides an energy-, momentum-, and positivity-preserving particle discretization of the nonlinear Landau…

Plasma Physics · Physics 2022-12-28 Filippo Zonta , Joseph V. Pusztay , Eero Hirvijoki

Global Navigation Satellite System/Inertial Navigation System (GNSS/INS)/Vision integration based on factor graph optimization (FGO) has recently attracted extensive attention in navigation and robotics community. Integrity monitoring (IM)…

Robotics · Computer Science 2024-10-31 Yunong Tian , Tuan Li , Haitao Jiang , Zhipeng Wang , Chuang Shi
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