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This paper presents high-order, well-balanced, path-conservative discontinuous Galerkin (DG) methods for the shallow water linearized moment equations (SWLME), designed to preserve both still and moving water equilibrium states. Unlike the…

数值分析 · 数学 2025-07-18 Ruilin Fan , Julian Koellermeier , Yinhua Xia , Yan Xu , Jiahui Zhang

In our previous paper (Hunana et al. 2022) we have employed the Landau collisional operator together with the moment method of Grad and considered various generalizations of the Braginskii model, such as a multi-fluid formulation of the 21-…

等离子体物理 · 物理学 2025-06-12 P. Hunana

This paper explores the problem of collision-free motion generation for manipulators by formulating it as a global motion optimization problem. We develop a parallel optimization technique to solve this problem and demonstrate its…

The wide use of a speed-independent distance as a cut-off impact parameter together with Rutherford's scattering formula, within the cut-off theory, to account for charge screening in plasma environment embodies a clear inconsistency. A new…

等离子体物理 · 物理学 2018-03-14 Mofreh R. Zaghloul

A fundamental macroscopic description of a magnetized plasma is the Vlasov equation supplemented by the nonlinear inverse-square force Fokker-Planck collision operator [Rosenbluth et al., Phys. Rev., 107, 1957]. The Vlasov part describes…

等离子体物理 · 物理学 2015-09-30 Eero Hirvijoki , Jeff Candy , Emily Belli , Ola Embréus

A Hamiltonian two-field gyrofluid model is used to investigate the dynamics of an electron-ion collisionless plasma subject to a strong ambient magnetic field, within a spectral range extending from the magnetohydrodynamic (MHD) scales to…

等离子体物理 · 物理学 2024-06-10 T. Passot , S. S. Cerri , C. Granier , D. Laveder , P. L. Sulem , E. Tassi

The purpose of this work is simulation of magnetised plasmas in the ITER project framework. In this context, Vlasov-Poisson like models are used to simulate core turbulence in the tokamak in a toroidal geometry. This leads to heavy…

The derivation of the multi-temperature generalized Zhdanov closure is provided starting from the most general form of the left hand side of the moment averaged kinetic equation with the Sonine-Hermite polynomial ansatz for an arbitrary…

We introduce a numerical solver for the spatially inhomogeneous Boltzmann equation using the Burnett spectral method. The modelling and discretization of the collision operator are based on the previous work [Z. Cai, Y. Fan, and Y. Wang,…

计算物理 · 物理学 2019-10-22 Zhicheng Hu , Zhenning Cai

This paper describes algorithms for non-relativistic hydrodynamics in the toolkit for high-order neutrino radiation hydrodynamics (thornado), which is being developed for multiphysics simulations of core-collapse supernovae (CCSNe) and…

高能天体物理现象 · 物理学 2021-03-17 David Pochik , Brandon L. Barker , Eirik Endeve , Jesse Buffaloe , Samuel J. Dunham , Nick Roberts , Anthony Mezzacappa

Global electromagnetic gyrokinetic simulations show the existence of near threshold conditions for both a high-$n$ kinetic ballooning mode (KBM) and an intermediate-$n$ kinetic version of peeling-ballooning mode (KPBM) in the edge pedestal…

等离子体物理 · 物理学 2015-06-04 Weigang Wan , Scott E. Parker , Yang Chen , Zheng Yan , Richard J. Groebner , Philip B. Snyder

Adopting the theoretical framework for the generalized fishbonelike dispersion relation, an extended hybrid magnetohydrodynamics gyrokinetic simulation model has been derived analytically by taking into account both thermal ion…

等离子体物理 · 物理学 2015-05-20 X Wang , S Briguglio , L Chen , C Di Troia , G Fogaccia , G Vlad , F Zonca

Accurate learning of system dynamics is becoming increasingly crucial for advanced control and decision-making in engineering. However, real-world systems often exhibit multiple channels and highly nonlinear transition dynamics, challenging…

机器学习 · 统计学 2025-10-20 Tengjie Zheng , Jilan Mei , Di Wu , Lin Cheng , Shengping Gong

High-temperature superconducting (HTS) magnets and other advances have led to renewed interest in magnetic mirrors for fusion energy. The non-Maxwellian nature of mirror plasmas necessitates kinetic modeling to predict, optimize and design…

等离子体物理 · 物理学 2026-05-29 Maxwell H. Rosen , Manaure Francisquez , Ammar Hakim , Gregory W. Hammett

Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision term. A class of asymptotic preserving schemes was introduced in [6] to handle this kind of problems. The…

数值分析 · 数学 2010-09-20 Francis Filbet , Jingwei Hu , Shi Jin

Gyrokinetics is a rich and rewarding playground to study some of the mysteries of modern physics. In this thesis I present work, motivated by the quest for fusion energy, which seeks to uncover some of the inner workings of turbulence in…

等离子体物理 · 物理学 2009-04-24 Gabriel G. Plunk

A minimal model for magnetic reconnection and, generally, low-frequency dynamics in low-beta plasmas is proposed. The model combines analytical and computational simplicity with physical realizability: it is a rigorous limit of gyrokinetics…

等离子体物理 · 物理学 2011-10-25 Alessandro Zocco , Alexander Schekochihin

The Glauber model is extensively applied to heavy ion collision for describing a number of interaction processes over a wide range of energies from near the Coulomb barrier to higher energies. The model gives the nucleus-nucleus interaction…

核理论 · 物理学 2007-05-23 P. Shukla

GX is a code for solving the nonlinear gyrokinetic system for low-frequency turbulence in magnetized plasmas, particularly tokamaks and stellarators. In GX, our primary motivation and target is a fast gyrokinetic solver that can be used for…

等离子体物理 · 物理学 2024-04-30 N. R. Mandell , W. Dorland , I. Abel , R. Gaur , P. Kim , M. Martin , T. Qian

We study parallel particle-in-cell (PIC) methods for low-temperature plasmas (LTPs), which discretize kinetic formulations that capture the time evolution of the probability density function of particles as a function of position and…

计算工程、金融与科学 · 计算机科学 2025-08-12 James Almgren-Bell , Nader Al Awar , Dilip S Geethakrishnan , Milos Gligoric , George Biros
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