# Enhanced conservation properties of Vlasov codes through coupling with conservative fluid models

@article{Trost2017EnhancedCP, title={Enhanced conservation properties of Vlasov codes through coupling with conservative fluid models}, author={T. Trost and Simon Lautenbach and Rainer Grauer}, journal={arXiv: Plasma Physics}, year={2017} }

Many phenomena in collisionless plasma physics require a kinetic description. The evolution of the phase space density can be modeled by means of the Vlasov equation, which has to be solved numerically in most of the relevant cases. One of the problems that often arise in such simulations is the violation of important physical conservation laws. Numerical diffusion in phase space translates into unphysical heating, which can increase the overall energy significantly, depending on the time scale…

## 5 Citations

### Multiphysics Simulations of Collisionless Plasmas

- PhysicsFront. Phys.
- 2018

Collisionless plasmas, mostly present in astrophysical and space environments, often require a kinetic treatment as given by the Vlasov equation. Unfortunately, the six-dimensional Vlasov equation…

### Temperature gradient driven heat flux closure in fluid simulations of collisionless reconnection

- PhysicsJournal of Plasma Physics
- 2018

Recent efforts to include kinetic effects in fluid simulations of plasmas have been very promising. Concerning collisionless magnetic reconnection, it has been found before that damping of the…

### An Energy Conserving Vlasov Solver That Tolerates Coarse Velocity Space Resolutions: Simulation of MMS Reconnection Events

- Computer ScienceJournal of Geophysical Research: Space Physics
- 2022

A new dual Vlasov solver which is based on an established positivity preserving advection scheme for the update of the distribution function and an energy conserving partial differential equation solver for the kinetic update of mean velocity and temperature is presented.

### A parallel low-rank solver for the six-dimensional Vlasov-Maxwell equations

- Computer ScienceJ. Comput. Phys.
- 2022

### A Local Macroscopic Conservative (LoMaC) low rank tensor method for the Vlasov dynamics

- Computer ScienceArXiv
- 2022

A novel Local Macroscopic Conservative (LoMaC) low rank tensor method for simulating the Vlasov-Poisson system and is extended to the high dimensional problems by hierarchical Tuck decomposition of solution tensors and a corresponding conservative projection algorithm.

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