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SPARTACUS: A Unified Stochastic Particle (USP) solver based on SPARTA (https://github.com/sparta/sparta)

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SPARTACUS is a Unified Stochastic Particle (USP) solver based on SPARTA. SPARTACUS stands for SPARTA Combined with USP. The USP method is proposed by Fei et al. to simulate multi-scale gas flows.

examples_USP contains Several benchmark cases and tutorial examples.

doc/collide.html & doc/collide_bgk_modify.html contains essential documentation about this solver.

Downloading, installing and using SPARTACUS is exactly the same as SPARTA, which is fully described within SPARTA Users Manual, unless specified in the above files and directories

The current maintainer of this solver is Feng Kai from Jun Zhang's Lab at Beihang University. For issue reporting or suggestions, please contact kfeng@buaa.edu.cn or jun.zhang@buaa.edu.cn.

Coupled time step and grid adaptation based on local characteristic scale is available now!

SPARTACUS Papers

The following papar introduces the implementation of the USP method in the current version of SPARTACUS.

Feng, K., Tian, P., Zhang, J.*, Fei, F., Wen, D., 2022. SPARTACUS: An open-source unified stochastic particle solver for the simulation of multiscale nonequilibrium gas flows. Computer Physics Communications 108607.

Feng, K., Cui, Z., Tian, P., Zhang, J.* A Unified Stochastic Particle Method with Spatiotemporal Adaptation for Simulating Multiscale Gas Flows. Available at SSRN 4596538.

The following paper covers the theoretical foundation of SPARTACUS, namely the development of USP method.

Fei, F., Zhang, J.*, Li, J., Liu, Z.*, 2020. A unified stochastic particle Bhatnagar-Gross-Krook method for multiscale gas flows. Journal of Computational Physics 400, 108972.

Fei, F.*, Ma, Y., Wu, J.*, Zhang, J., 2021. An efficient algorithm of the unified stochastic particle Bhatnagar-Gross-Krook method for the simulation of multi-scale gas flows. Adv. Aerodyn. 3, 18.

Fei, F.*, Hu, Y.*, Jenny, P., 2022. A unified stochastic particle method based on the Bhatnagar-Gross-Krook model for polyatomic gases and its combination with DSMC. Journal of Computational Physics 471, 111640.

The following are some partial papers that discuss the application of SPARTACUS or the USP method

Tian, P., Feng, K., Ma, Q., Li, Z., Zhang, J.*, 2023. Unified stochastic particle simulation of polyatomic gas flows using SPARTACUS. Computers & Fluids 265, 105987.

Zhang, J.*, Yao, S., Fei, F.*, Ghalambaz, M., Wen, D., 2020. Competition of natural convection and thermal creep in a square enclosure. Physics of Fluids 32, 102001.

Ma, Q., Yang, C., Chen, S., Feng, K., Cui, Z., Zhang, J.* (2023).Effect of thermal fluctuations on spectra and predictability in compressible decaying isotropic turbulence. arXiv preprint arXiv:2306.17589.



SPARTA on GitHub: https://github.com/sparta/sparta

Original SPARTA README:

This is the SPARTA software package.

SPARTA stands for Stochastic PArallel Rarefied-gas Time-accurate Analyzer.

Copyright (2014) Sandia Corporation. Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains certain rights in this software. This software is distributed under the GNU General Public License.


SPARTA is a Direct Simulation Monte Carlo (DSMC) code designed to run efficiently on parallel computers. It was developed at Sandia National Laboratories, a US Department of Energy facility, with funding from the DOE. It is an open-source code, distributed freely under the terms of the GNU Public License (GPL).

The primary authors of the code are Steve Plimpton and Michael Gallis, who can be emailed at sjplimp@sandia.gov and magalli@sandia.gov. The SPARTA web site at http://sparta.sandia.gov has more information about the code and its uses.

The SPARTA distribution includes the following files and directories:

README this file LICENSE the GNU General Public License (GPL) bench benchmark problems data files with species/reaction params, surface files doc documentation examples simple test problems lib additional library files python Python wrapper on SPARTA as a library src source files tools pre- and post-processing tools

Point your browser at any of these files to get started:

doc/Manual.html the SPARTA manual doc/Section_intro.html hi-level introduction to SPARTA doc/Section_start.html how to build and use SPARTA doc/Developer.pdf SPARTA developer guide