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Trapped ion modes (TIM) belong to the family of ion temperature gradient (ITG) modes, which are one of the important ingredients in heat turbulent transport at the ion scale in tokamak plasmas. It is essential to properly estimate their…

Plasma Physics · Physics 2023-03-16 D. Mandal , M. Lesur , E. Gravier , J. N. Sama , A. Guillevic , Y. Sarazin , X. Garbet

Hierarchical matrix approximations have gained significant traction in the machine learning and scientific community as they exploit available low-rank structures in kernel methods to compress the kernel matrix. The resulting compressed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Bangtian Liu , Kazem Cheshmi , Saeed Soori , Michelle Mills Strout , Maryam Mehri Dehnavi

The adoption of cardiovascular simulations for diagnosis and surgical planning on a patient-specific basis requires the development of faster methods than the existing state-of-the-art techniques. To address this need, we leverage the…

Numerical Analysis · Mathematics 2024-12-10 Dongjie Jia , Mahdi Esmaily

This paper deals with speeding up the convergence of a class of two-step iterative methods for solving linear systems of equations. To implement the acceleration technique, the residual norm associated with computed approximations for each…

Numerical Analysis · Mathematics 2024-04-24 Fatemeh P. A. Beik , Michele Benzi , Mehdi Najafi-Kalyani

This paper proposes an adaptive hyper-reduction method to reduce the computational cost associated with the simulation of parametric particle-based kinetic plasma models, specifically focusing on the Vlasov-Poisson equation. Conventional…

Numerical Analysis · Mathematics 2026-02-05 Cecilia Pagliantini , Federico Vismara

The real-time reconstruction of the plasma magnetic equilibrium in a Tokamak is a key point to access high performance regimes. Indeed, the shape of the plasma current density profile is a direct output of the reconstruction and has a…

Numerical Analysis · Mathematics 2016-11-27 Didier Mazon , Jacques Blum , Cédric Boulbe , Blaise Faugeras , A. Boboc , M. Brix , P. De Vries , S. Sharapov , L. Zabeo

We consider the efficient numerical solution of the three-dimensional wave equation with Neumann boundary conditions via time-domain boundary integral equations. A space-time Galerkin method with $C^\infty$-smooth, compactly supported basis…

Numerical Analysis · Mathematics 2015-03-26 A. Veit , M. Merta , J. Zapletal , D. Lukáš

A high-order piecewise field-aligned triangular finite element method is developed and implemented for global electromagnetic gyrokinetic particle-in-cell simulations of tokamak plasmas with open field lines. The approach combines locally…

Scaling hyperparameter optimisation to very large datasets remains an open problem in the Gaussian process community. This paper focuses on iterative methods, which use linear system solvers, like conjugate gradients, alternating…

Machine Learning · Computer Science 2025-01-14 Jihao Andreas Lin , Shreyas Padhy , Bruno Mlodozeniec , Javier Antorán , José Miguel Hernández-Lobato

Understanding turbulent transport physics in the tokamak edge and scrape-off layer (SOL) is critical to developing a successful fusion reactor. The dynamics in these regions plays a key role in achieving high fusion performance by…

Plasma Physics · Physics 2021-03-31 Noah Mandell

Global particle simulations of the lower hybrid waves have been carried out using fully kinetic ions and drift kinetic electrons with a realistic electron-to-ion mass ratio. The lower hybrid wave frequency, mode structure, and electron…

Plasma Physics · Physics 2015-06-23 J. Bao , Z. Lin , A. Kuley , Z. X. Wang , Z. X. Lu

Fast and accurate simulation of imaging through atmospheric turbulence is essential for developing turbulence mitigation algorithms. Recognizing the limitations of previous approaches, we introduce a new concept known as the phase-to-space…

Image and Video Processing · Electrical Eng. & Systems 2021-08-24 Zhiyuan Mao , Nicholas Chimitt , Stanley H. Chan

Turbulence simulation with classical numerical solvers requires high-resolution grids to accurately resolve dynamics. Here we train learned simulators at low spatial and temporal resolutions to capture turbulent dynamics generated at high…

In the quest for controlled thermonuclear fusion, tokamaks present complex challenges in understanding burning plasma dynamics. This study introduces a multi-region multi-timescale transport model, employing Neural Ordinary Differential…

Plasma Physics · Physics 2024-03-05 Zefang Liu , Weston M. Stacey

We present the IAMReX, an adaptive and parallel solver for particle-resolved simulations on the multi-level grid. The fluid equations are solved using a finite-volume scheme on the block-structured semi-staggered grids with both subcycling…

Fluid Dynamics · Physics 2024-08-27 Xuzhu Li , Chun Li , Xiaokai Li , Wenzhuo Li , Mingze Tang , Yadong Zeng , Zhengping Zhu

The JOREK extended magneto-hydrodynamic (MHD) code is a widely used simulation code for studying the non-linear dynamics of large-scale instabilities in divertor tokamak plasmas. Due to the large scale-separation intrinsic to these…

Computational Physics · Physics 2021-10-27 I Holod , M Hoelzl , P S Verma , GTA Huijsmans , R Nies , JOREK Team

This paper proposes a new fast and stable algorithm for the reconstruction of the plasma boundary from discrete magnetic measurements taken at several locations surrounding the vacuum vessel. The resolution of this inverse problem takes two…

Optimization and Control · Mathematics 2015-11-17 B. Faugeras

The physical sciences require models tailored to specific nuances of different dynamics. In this work, we study outcome predictions in nuclear fusion tokamaks, where a major challenge are \textit{disruptions}, or the loss of plasma…

Plasma Physics · Physics 2024-01-02 Lucas Spangher , William Arnold , Alexander Spangher , Andrew Maris , Cristina Rea

Spherical tokamaks (STs) have many desirable features that make them an attractive choice for a future fusion power plant. Power plant viability is intrinsically related to plasma heat and particle confinement and this is often determined…

Spherical tokamaks (STs) have been shown to possess properties desirable for a fusion power plant such as achieving high plasma ? and having increased vertical stability. To understand the confinement properties that might be expected in…

Plasma Physics · Physics 2021-12-22 B. S. Patel , D. Dickinson , C. M. Roach , H. R. Wilson
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