# A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas

@article{Kawashima2015AHS, title={A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas}, author={Rei Kawashima and Kimiya Komurasaki and Tony Sch{\"o}nherr}, journal={J. Comput. Phys.}, year={2015}, volume={284}, pages={59-69} }

## 24 Citations

### A flux-splitting method for hyperbolic-equation system of magnetized electron fluids in quasi-neutral plasmas

- PhysicsJ. Comput. Phys.
- 2016

### Magnetized Electron Flow Calculation Using a Hyperbolic System

- Physics
- 2016

The hyperbolic-equation-system (HES) approach has been developed for the calculation of magnetized electron fluids in quasi-neutral plasmas. The HES approach has been applied to a particle-fluid…

### Hybrid Modeling of a Hall Thruster Using Hyperbolic System of Electron Conservation Laws IEPC-2015-206 / ISTS-2015

- Physics
- 2015

The hyperbolic-equation system (HES) approach is applied to the calculation of a Hall thruster using the hybrid particle-in-cell (PIC) method. The HES approach enables accurate computations of…

### Non-oscillatory quasineutral fluid model of cross-field discharge plasmas

- PhysicsPhysics of Plasmas
- 2018

This paper presents a non-oscillatory quasineutral plasma model, in which the electric field in the ion momentum equation employs the electron drift-diffusion formulation. Due to the quasineutral…

### Numerical analysis of azimuthal rotating spokes in a crossed-field discharge plasma

- Physics
- 2017

Low-frequency rotating spokes are obtained in a cross-field discharge plasma using two-dimensional numerical simulations. A particle-fluid hybrid model is used to model the plasma flow in a…

### High-order upwind and non-oscillatory approach for steady state diffusion, advection-diffusion and application to magnetized electrons

- PhysicsJ. Comput. Phys.
- 2018

### First order hyperbolic approach for Anisotropic Diffusion equation

- MathematicsJ. Comput. Phys.
- 2019

### Hyperbolic Cell-centered Finite Volume Method for Obtaining Potential Magnetic Field Solutions

- PhysicsThe Astrophysical Journal
- 2019

A hyperbolic cell-centered finite volume solver (HCCFVS) is proposed to obtain the potential magnetic field solutions prescribed by the solar observed magnetograms. By introducing solution gradients…

### Two-dimensional hybrid model of gradient drift instability and enhanced electron transport in a Hall thruster

- Physics
- 2021

An axial-azimuthal two-dimensional Hall thruster discharge model was developed for analyzing gradient drift instability (GDI) and cross-field electron transport enhancement induced solely by the GDI.…

## References

SHOWING 1-10 OF 19 REFERENCES

### Numerical simulation of a steady-state electron shock wave in a submicrometer semiconductor device

- Physics, Engineering
- 1991

Appropriate numerical methods for steady-state simulations (including shock waves) when the electron flow is both subsonic and supersonic are addressed. The one-dimensional steady-state hydrodynamic…

### Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods

- Mathematics
- 1981

### A first-order system approach for diffusion equation. II: Unification of advection and diffusion

- Computer Science, MathematicsJ. Comput. Phys.
- 2010

### An Implicit Factored Scheme for the Compressible Navier-Stokes Equations

- Computer Science
- 1977

An implicit finite-difference scheme is developed for the numerical solution of the compressible Navier-Stokes equations in conservation- law form and, although a three-time-lev el scheme, requires only two time levels of data storage.

### A two-dimensional hybrid model of the Hall thruster discharge

- Physics
- 2006

Particle-in-cell methods are used for ions and neutrals. Probabilistic methods are implemented for ionization, charge-exchange collisions, gas injection, and particle-wall interaction. A diffusive…

### Two-dimensional numerical model of plasma flow in a Hall thruster

- Physics
- 1995

Two-dimensional numerical model of plasma flow in a Hall thruster has been made to estimate analytically the ion-loss flux to the walls of an acceleration channel, and to obtain information about…

### A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes

- Mathematics, Computer ScienceJ. Comput. Phys.
- 2007

### On two upwind finite-difference schemes for hyperbolic equations in non-conservative form

- Mathematics, Computer Science
- 1983

### A Numerical Method for Solving Incompressible Viscous Flow Problems

- Physics
- 1997

A numerical method for solving incompressible viscous flow problems is introduced. This method uses the velocities and the pressure as variables and is equally applicable to problems in two and three…