vlasovSL.jl
vlasovSL
vlasovSL.jl - Semi-Lagrangian Solver for the Vlasov Equation and PIC Solver
Overview
vlasovSL.jl is a Julia project that provides a Semi-Lagrangian solver for the Vlasov equation, a partial differential equation used in plasma physics to model the evolution of a distribution function of charged particles in a plasma. Additionally, this project also includes a simple Particle-In-Cell (PIC) solver for verification of the simulation results.
The Semi-Lagrangian method is employed as a numerical technique to efficiently and accurately handle the advection of particles in phase space, making it well-suited for long-time simulations. The PIC solver, on the other hand, serves as a reference for comparing the results obtained from the Semi-Lagrangian solver.
Requirements
To utilize vlasovSL.jl, make sure you have the following software installed:
- Julia (Version 1.6 or later)
Installation
Follow these steps to set up the project:
-
Install Julia if you haven’t already. You can download it from the official website: https://julialang.org/downloads/
-
Clone this repository to your local machine:
git clone https://github.com/your_username/vlasovSL.jl.git
- Change the working directory to the project folder:
cd vlasovSL.jl
- Install the required Julia packages by running the following command in the Julia REPL:
using Pkg
Pkg.activate(".")
Pkg.instantiate()
1D-1V Simulations with Future Multi-Dimensional Extension
Currently, the vlasovSL.jl project supports 1D-1V simulations, where the distribution function is represented as a function of a single spatial dimension and a single velocity dimension. This restriction allows for efficient and accurate simulations of certain plasma scenarios. However, we understand that there is a demand for simulations in higher dimensions to model more complex plasma phenomena accurately.
We are actively working on extending the vlasovSL.jl solver to handle multi-dimensional simulations, where the distribution function will be a function of multiple spatial and velocity dimensions. The multi-dimensional extension is a complex task, involving additional computational challenges and algorithmic considerations.
Performance Data
For users interested in the performance of relevant functions within vlasovSL.jl, we have compiled performance data that can be accessed at the following link:
https://mraeth.github.io/vlasovSL.jl/dev/bench/index.html
The performance data includes benchmarks for critical functions involved in the Semi-Lagrangian solver and the PIC solver. It provides valuable insights into the efficiency and resource requirements of the simulations, allowing users to optimize their code and choose appropriate parameters for their specific scenarios.
If you have any questions or need assistance, feel free to reach out to us at your_email@example.com.
Contributing
Contributions to vlasovSL.jl are welcome! If you’d like to contribute, fork the repository, make your changes, and submit a pull request. Please ensure your code adheres to the project’s coding style and passes all tests.
License
This project is licensed under the MIT License. Refer to the LICENSE file for more details.
Contact
For any questions or suggestions regarding this project, please feel free to contact us!
Happy simulating!