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The hybrid kinetic-ion fluid-electron plasma model is widely used to study challenging multi-scale problems in space and laboratory plasma physics. Here, a novel conservative scheme for this model employing implicit particle-in-cell…

Plasma Physics · Physics 2022-04-13 A. Stanier , L. Chacon

The quasi-neutral hybrid particle-in-cell algorithm with kinetic ions and fluid electrons is a popular model to study multi-scale problems in laboratory, space, and astrophysical plasmas. Here, it is shown that the treatment of ions as…

Plasma Physics · Physics 2020-08-26 A. Stanier , L. Chacon , A. Le

We introduce a new electrostatic particle-in-cell algorithm capable of using large timesteps compared to particle gyro-period under a uniform external magnetic field. The algorithm extends earlier electrostatic fully implicit PIC…

Computational Physics · Physics 2023-05-31 Guangye Chen , Luis Chacón

We present a new hybrid algorithm implemented in the code CHIEF (Code Hybrid with Inertial Electron Fluid) for simulations of electron-ion plasmas. The algorithm treats the ions kinetically, modeled by the Particle-in-Cell (PiC) method, and…

Plasma Physics · Physics 2018-02-27 P. A. Muñoz , N. Jain , P. Kilian , J. Büchner

A generalized fluid-particle hybrid model for collisionless plasmas under the assumption of quasi-neutrality is presented. The system consists of fluid ions and electrons as well as arbitrary numbers of species whose dynamics is governed by…

Space Physics · Physics 2018-05-09 Takanobu Amano

We study the geometric particle-in-cell methods for an electrostatic hybrid plasma model. In this model, ions are described by the fully kinetic equations, electron density is determined by the Boltzmann relation, and space-charge effects…

Numerical Analysis · Mathematics 2026-03-26 Yingzhe Li

An electrostatic, implicit particle-in-cell (PIC) model for collisionless, fully magnetized, paraxial plasma expansions in a magnetic nozzle is introduced with exact charge, energy, and magnetic moment conservation properties. The approach…

Plasma Physics · Physics 2024-05-14 Pedro Jimenez , Luis Chacon , Mario Merino

We explore the possibilities of applying structure-preserving numerical methods to a plasma hybrid model with kinetic ions and mass-less fluid electrons satisfying the quasi-neutrality relation. The numerical schemes are derived by finite…

Numerical Analysis · Mathematics 2023-04-05 Yingzhe Li , Martin Campos Pinto , Florian Holderied , Stefan Possanner , Eric Sonnendrücker

High-intensity laser plasma interactions create complex computational problems because they involve both fluid and kinetic regimes, which need models that maintain physical precision while keeping computational speed. The research…

Plasma Physics · Physics 2025-10-14 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

This paper discusses a novel fully implicit formulation for a 1D electrostatic particle-in-cell (PIC) plasma simulation approach. Unlike earlier implicit electrostatic PIC approaches (which are based on a linearized Vlasov-Poisson…

Computational Physics · Physics 2015-03-17 Guangye Chen , Luis Chacón , Daniel C. Barnes

For decades, the Vlasov-Darwin model has been recognized to be attractive for particle-in-cell (PIC) kinetic plasma simulations in non-radiative electromagnetic regimes, to avoid radiative noise issues and gain computational efficiency.…

Computational Physics · Physics 2016-05-04 Guangye Chen , Luis Chacon

A recent proof-of-principle study proposes a nonlinear electrostatic implicit particle-in-cell (PIC) algorithm in one dimension (Chen, Chacon, Barnes, J. Comput. Phys. 230 (2011) 7018). The algorithm employs a kinetically enslaved…

Plasma Physics · Physics 2017-01-04 Guangye Chen , Luis Chacon

We present a novel numerical scheme for the efficient and accurate solution of the isothermal two-fluid (electron and ion) equations coupled to Poisson's equation for low-temperature plasmas. The model considers electrons and ions as…

Computational Physics · Physics 2020-07-15 Alejandro Alvarez Laguna , Teddy Pichard , Thierry Magin , Pascal Chabert , Anne Bourdon , Marc Massot

A new methodology is developed to integrate numerically the equations of motion for classical many-body systems in molecular dynamics simulations. Its distinguishable feature is the possibility to preserve, independently on the size of the…

Statistical Mechanics · Physics 2009-10-31 I. P. Omelyan , I. M. Mryglod , R. Folk

We present a new multi-fluid, multi-temperature plasma solver with adaptive Cartesian mesh (ACM) based on a full-Newton (non-linear, implicit) scheme for collisional low-temperature plasma. The particle transport is described using the…

Computational Physics · Physics 2020-08-19 Robert Arslanbekov , Vladimir Kolobov

There are many interesting physical processes which involve the generation of high density plasmas in large volumes. However, when modeling these systems numerically, the large densities and volumes present a significant computational…

Computational Physics · Physics 2007-05-23 A. E. Schulz , A. D. Greenwood , K. L. Cartwright , P. J. Mardahl

In this paper, we consider a nonlinear and nonlocal parabolic model for multi-species ionic fluids and introduce a semi-implicit finite volume scheme, which is second order accurate in space, first order in time and satisfies the following…

Numerical Analysis · Mathematics 2020-07-01 Yong Zhang , Yu Zhao , Zhennan Zhou

A new approach using a hyperbolic-equation system (HES) is proposed to solve for the electron fluids in quasi-neutral plasmas. The HES approach avoids treatments of cross-diffusion terms which cause numerical instabilities in conventional…

Computational Physics · Physics 2017-12-11 R. Kawashima , K. Komurasaki , T. Schoenherr

Simulating fully kinetic, two-species plasmas is computationally challenging due to the stiff multiscale dynamics of electrons and ions. While enforcing a quasi-neutral time evolution mitigates this stiffness, it requires an electric…

Plasma Physics · Physics 2026-04-24 M. Pelkner , K. Hallatschek , M. Raeth

Hybrid-kinetic simulations describe ion-scale kinetic phenomena in space plasmas by considering ions kinetically, i.e. as particles, while electrons are modelled as a fluid. Most of the existing hybrid-kinetic codes neglect the electron…

Plasma Physics · Physics 2022-07-04 Neeraj Jain , Patricio A. Muñoz , Jörg Büchner
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