Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
Abstract
Here, an explicit high-order noncanonical symplectic algorithm for ideal two-fluid systems is developed. The fluid is discretized as particles in the Lagrangian description, while the electromagnetic fields and internal energy are treated as discrete differential form fields on a fixed mesh. With the assistance of Whitney interpolating forms, this scheme preserves the gauge symmetry of the electromagnetic field, and the pressure field is naturally derived from the discrete internal energy. The whole system is solved using the Hamiltonian splitting method discovered by He et al. [Phys. Plasmas 22, 124503 (2015)], which was been successfully adopted in constructing symplectic particle-in-cell schemes. Because of its structure preserving and explicit nature, this algorithm is especially suitable for large-scale simulations for physics problems that are multi-scale and require long-term fidelity and accuracy. The algorithm is verified via two tests: studies of the dispersion relation of waves in a two-fluid plasma system and the oscillating two-stream instability.
- Authors:
-
[3];
[1];
[1];
- Univ. of Science and Technology of China, Hefei, Anhui (China). School of Nuclear Science and Technology and Dept. of Modern Physics; Chinese Academy of Sciences (CAS), Hefei, Anhui (China). Key Lab. of Geospace Environment
- Univ. of Science and Technology of China, Hefei, Anhui (China). School of Nuclear Science and Technology and Dept. of Modern Physics; Princeton Univ., Princeton, NJ (United States). Plasma Physics Lab.
- Univ. of Texas, Austin, TX (United States). Dept. of Physics and Inst. for Fusion Studies
- Chinese Academy of Sciences (CAS), Hefei, Anhui (China). Inst. of Plasma Physics
- Publication Date:
- Research Org.:
- Univ. of Texas, Austin, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1535287
- Alternate Identifier(s):
- OSTI ID: 1331403
- Grant/Contract Number:
- FG02-04ER54742; FG02-04ER-54742
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 23; Journal Issue: 11; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; physics
Citation Formats
Xiao, Jianyuan, Qin, Hong, Morrison, Philip J., Liu, Jian, Yu, Zhi, Zhang, Ruili, and He, Yang. Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems. United States: N. p., 2016.
Web. doi:10.1063/1.4967276.
Xiao, Jianyuan, Qin, Hong, Morrison, Philip J., Liu, Jian, Yu, Zhi, Zhang, Ruili, & He, Yang. Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems. United States. https://doi.org/10.1063/1.4967276
Xiao, Jianyuan, Qin, Hong, Morrison, Philip J., Liu, Jian, Yu, Zhi, Zhang, Ruili, and He, Yang. Mon .
"Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems". United States. https://doi.org/10.1063/1.4967276. https://www.osti.gov/servlets/purl/1535287.
@article{osti_1535287,
title = {Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems},
author = {Xiao, Jianyuan and Qin, Hong and Morrison, Philip J. and Liu, Jian and Yu, Zhi and Zhang, Ruili and He, Yang},
abstractNote = {Here, an explicit high-order noncanonical symplectic algorithm for ideal two-fluid systems is developed. The fluid is discretized as particles in the Lagrangian description, while the electromagnetic fields and internal energy are treated as discrete differential form fields on a fixed mesh. With the assistance of Whitney interpolating forms, this scheme preserves the gauge symmetry of the electromagnetic field, and the pressure field is naturally derived from the discrete internal energy. The whole system is solved using the Hamiltonian splitting method discovered by He et al. [Phys. Plasmas 22, 124503 (2015)], which was been successfully adopted in constructing symplectic particle-in-cell schemes. Because of its structure preserving and explicit nature, this algorithm is especially suitable for large-scale simulations for physics problems that are multi-scale and require long-term fidelity and accuracy. The algorithm is verified via two tests: studies of the dispersion relation of waves in a two-fluid plasma system and the oscillating two-stream instability.},
doi = {10.1063/1.4967276},
journal = {Physics of Plasmas},
number = 11,
volume = 23,
place = {United States},
year = {Mon Nov 21 00:00:00 EST 2016},
month = {Mon Nov 21 00:00:00 EST 2016}
}
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Works referencing / citing this record:
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