Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems

Xiao, Jianyuan; Qin, Hong; Morrison, Philip J.; Liu, Jian; Yu, Zhi; Zhang, Ruili; He, Yang

doi:10.1063/1.4967276

Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems

Journal Article · Mon Nov 21 00:00:00 EST 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4967276· OSTI ID:1535287

Xiao, Jianyuan ^[1]; Qin, Hong ^[2]; ^[3]; ^[4]; Yu, Zhi ^[5]; ^[4]; He, Yang ^[4]

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; DOE/OSTI
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
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
Chinese Academy of Sciences (CAS), Hefei, Anhui (China). Inst. of Plasma Physics

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: FG02-04ER54742

OSTI ID:: 1535287

Alternate ID(s):: OSTI ID: 1331403

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 23; ISSN PHPAEN; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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